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5 th Six Weeks Benchmark Page 3 10A Construct sample space for compound events (dependent and independent) 1. Which displays the sample space for flipping a coin 2 times? A H, T B HH, TT, HT, TH C H, H, T, T D TH, HT 2. If the 2 spinners shown below are spun, how many possible outcomes are there? A B C D 1 2 3 4 5 6 A 4 B 6 C 10 D 24 3. Gina has a bag containing black, white, and red marbles. She takes two marbles out of the bag. According to the diagram below, how many possible outcomes exist? Black White Red Black Black Black White White White Red Red Red A 3 B 9 C 12 D 27 4. For a dinner party, 3 people will be seated at a straight table. How many different ways are there to arrange the people? A 3 B 6 C 9 D 12
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Objectives 7th Grade Math

Mar 09, 2016

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Page 1: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 3

10A Construct sample space for compound events (dependent and independent)

1. Which displays the sample space for

flipping a coin 2 times?

A H, T

B HH, TT, HT, TH

C H, H, T, T

D TH, HT

2. If the 2 spinners shown below are spun, how

many possible outcomes are there?

A

B

C

D

1

2

3

4

5

6

A 4

B 6

C 10

D 24

3. Gina has a bag containing black, white, and

red marbles. She takes two marbles out of

the bag. According to the diagram below,

how many possible outcomes exist?

Black

White

Red

Black

Black

Black

White

White

White

Red

Red

Red

A 3

B 9

C 12

D 27

4. For a dinner party, 3 people will be seated at

a straight table. How many different ways

are there to arrange the people?

A 3

B 6

C 9

D 12

Page 2: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 4

10B Find the approximate probability of a compound event through experimentation

1. Wally flips a fair coin and rolls a cube

numbered 1 through 6. What is the

probability that the coin lands on HEADS

and the cube lands on 4?

A 41

B 61

C 101

D 121

2. Shawna has a box of marbles. She removed

a marble from the box, recorded the color on

the table below, and replaced the marble in

the box. Based on the table, what is the

probability she will remove a blue marble

the next time?

Color Times Picked Blue 3

Green 5

Yellow 4

A 31

B 41

C 103

D 133

3. The table below shows a survey of students’

favorite food. Based on this table, what is

the probability that a student chosen at

random would pick pizza as his or her

favorite food?

Food No. of Students

Hamburger 22

Pizza 13

Chicken 8

Taco 7

A 5013

B 3713

C 2213

D 1513

4. Lisa flips a fair coin and rolls a cube

numbered 1 through 6. What is the

probability that the coin lands on TAILS and

the cube lands on an even number?

A 41

B 61

C 101

D 121

Page 3: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 5

11A Select and use an appropriate representation for presenting collected data …

1. Which question can be answered with this

chart?

A What is this family’s income?

B How much is spent on food?

C What is this family’s largest expense?

D How much is the monthly utility bill?

2. Which would be best for displaying a class’s

scores on a history test?

A stem-and-leaf plot

B circle graph

C bar graph

D line graph

3. This stem-and-leaf plot shows the heights of

several seventh graders in inches.

Stem Leaves

6 0 0 1

5 2 3 3 3 5 9

4 3 4 4 5 5 7 9

3 8 9 9

What is the range of the heights

A 23 in.

B 38 in.

C 49 in.

D 61 in.

4. In the stem-and-leaf plot above, which

height represents the mode?

A 61 in.

B 53 in.

C 49 in.

D 38 in.

Diaz Family Budget

Auto

12%

Other

11%

Food

17%

Utilities

18%

Rent

42%

Page 4: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 10

12B Choose among mean, median, mode, or range to describe a set of data …

1. What is the median of this data?

5.2, 3.1, 7.6, 4.6, 6.1, 3.2

A 4.6

B 4.9

C 5.2

D 7.6

2. This table shows a store’s retail sales for

each of 5 years.

Year Sales

1996 $450,000 1997 $376,000

1998 $405,000

1999 $215,000

2000 $126,000

Which measure of central tendency should the store manager use to persuade investors that sales are high?

A mean

B median

C mode

D range

3. Using the table below, what is the mode of student grades in Ms. Perry’s class?

Ms. Perry’s Grades Grade No. of Students

93 5

91 8

89 12

87 6

A 87

B 89

C 91

D 93

4. Which measure of central tendency best

represents this data?

15, 15, 15, 15, 30, 25, 30

A mean

B median

C mode

D range

Page 5: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 5

13A Identify and apply mathematics to everyday experiences …

1. Ben wants to buy a new radio. One brand

costs $14.75 and another costs $15.65. What is the difference between the two prices?

A $2.10

B $1.90

C $1.10

D $0.90

E Not Here 2. Brenda buys 4 binders that cost $2.85 each,

including tax. If she gave the cashier $15.00, how much change should she receive?

A $1.80

B $2.70

C $3.60

D $4.50

E Not Here

3. Mr. Fielding’s truck can drive 17 miles on a gallon of gasoline. How far can his truck drive on 9 gallons?

A 119

B 136

C 153

D 170

E Not Here 4. A bakery produces 144 loaves of bread a

day. Which is the best estimate of the number of loaves of bread produced in 4 days?

A 400

B 500

C 600

D 800

Page 6: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 8

13B Use a problem-solving model …

1. A bag of oranges weighs about 6 pounds

and contains between 8 and 10 oranges. If Sasha buys 4 bags of oranges, which is a reasonable estimate of the number of oranges she will purchase?

A 24

B 36

C 42

D 54

2. Ben’s electric bill ranges from $55 to $70

each month. Which is a reasonable estimate of the amount Ben will pay for his electric bill in a year?

A $480

B $600

C $750

D $850

3. The Early-Rise Bakery uses ½ cup of milk in each loaf of bread. If they bake 100 loaves of bread each day, how much milk will they use in a day (rounded to the nearest gallon)?

A 2 gallons

B 3 gallons

C 4 gallons

D 5 gallons

4. The temperature Thursday was 5°F. A storm formed and the temperature dropped 8 degrees. What was the temperature after the change?

2 3 4 510 6-1-2-3-4-5

A 13°F

B 3°F

C -3°F

D -13°F

Page 7: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 7

13C Select or develop an appropriate problem-solving strategy …

1. Albert bought two pictures for $4.95 each

and a frame for $11.90. Sales tax was 5 %. How much change should Albert receive from $30?

A $1.80

B $7.11

C $8.10

D $8.20

E Not Here 2. Mario has a rectangular garden behind his

house. The length is 10 ft., and the width is twice the length. How much fencing does Mario need to surround the garden?

A 15 ft.

B 30 ft.

C 45 ft.

D 60 ft.

E Not Here

3. Antonia arrived at the movie theater at 3:20 P.M. The movie began 14 minutes later. The movie was 1 hour and 40 minutes long. What time did the movie end?

A 5:14 P.M.

B 5:55 P.M.

C 4:45 P.M.

D 4:55 P.M.

E Not Here 4. Julia has a 2-gallon punch bowl she wants to

fill with soda. If the soda costs $0.03 per ounce, how much will it cost to fill the bowl?

A $0.48

B $2.21

C $3.84

D $7.68

E Not Here

Page 8: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 11

13D Select tools … to solve problems

1. If 74

21 =m , then what is the value of m?

A 25

B 18

C 14

D 12

2. Elva wants to paint one outside wall of her

house. The wall measures 12 feet high and 60 feet wide. A can of paint costs $3.75, not including tax, and will cover 100 sq. ft. of wall. How many cans should Elva purchase?

A 6

B 7

C 8

D 9

E Not Here

3. Brenda jogged around the gym 4 times. If the gym in 41 yards long and 58 yards wide, which is the best estimate of the distance Brenda jogged?

A 1200 yd.

B 1000 yd.

C 800 yd.

D 600 yd.

E Not Here 4. How could the area of this shaded figure be

determined?

A Find the area of the square and add the

area of the triangle

B Find the area of the square and divide

by the area of the triangle.

C Find the area of the square and subtract

the area of the triangle.

D Find the perimeter of the square and

multiply by the area of the triangle.

Page 9: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 8

14A Communicate mathematical ideas …

1. Which expression represents a number, n,

reduced by 7?

A n – 7

B 7 – n

C n ÷ 7

D 7 ÷ n

2. A box of popcorn costs $2.75 and a soda

costs $1.50. Which expression could be used to determine the cost of a box of popcorn and 2 sodas?

A c = 2 × 2.75 + 1.50

B c = 2 × (2.75 + 1.50)

C c = 2 × 1.50 + 2.75

D c = 2 × (2.75 – 1.50)

3. Which sentence describes the following expression?

d > 4 A The value d is greater than 4.

B The value d is less than 4.

C The value d is greater than or equal to 4.

D The value d is less than or equal to 4.

4. For which expression is 6 a possible value

of x?

A x > 6

B x < 6

C x ≠ 6

D x = 6x

Page 10: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 9

14B Evaluate the effectiveness of different representations to communicate ideas

1. Which type of graph would be most

appropriate to display a family budget?

A histogram

B stem-and-leaf plot

C circle graph

D line graph

2. A survey asked 100 students which sports

they play. The results are shown in the

diagram below.

Baseball

Basketball

Football

27

126

2

1014

8

Which is a valid conclusion that could be

made from this diagram?

A There were 13 more students who play

football than basketball.

B There were 16 students who play both

basketball and baseball.

C There were only 8 students who play

baseball.

D There were 30 students who play all 3

sports.

3. This table shows the boiling point of water

at different elevations.

Elevation (ft) Boiling Point (°°°°F)

2500 194

1000 207

0 212

-200 214

Which statement can be supported by the

data in the table?

A As the elevation increases, the boiling

point of water decreases.

B As the elevation decreases, the boiling

point of water decreases.

C At elevations greater than 2500 ft., the

boiling point of water is above 194°F.

D As the elevation increases, the boiling

point of water increases.

4. Which expression is the same as the sum of

a number and 3 times that number?

A n × 3n

B 3n ÷ n

C 3n – n

D n + 3n

Page 11: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 9

15A Make conjectures from patterns or sets of examples and nonexamples

1. What will be the seventh term in this

pattern?

2a, 3a2, 4a

4, 5a

8, …

A 8a64

B 8a32

C 7a64

D 7a32

2. What will be the tenth term in this

sequence?

1, 2, 5, 6, 9, 10, 13, …

A 14

B 17

C 18

D 21

3. Nelda is making several figures out of

square tiles as shown below.

Figure 1

Figure 2

Figure 3

How many tiles will be required for the fifth

figure?

A 10

B 12

C 14

D 16

4. The height of a certain fungus doubles every

day. If it is 4 mm tall on day 1, how tall will

it be on day 4?

A 8 mm

B 16 mm

C 32 mm

D 64 mm

Page 12: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 9

15B Validate conclusions using mathematical properties and relationships

1. Which number line represents values of x

for which x > 1 + 3?

A

B

C

D

2. Based on the following equations,

4 × 3 � 7 = 5

7 � 6 ÷ 2 = 4

8 ÷ 4 × 6 � 1 = 11

Which operation does the symbol �

represent?

A addition

B subtraction

C multiplication

D division

3. Which value would complete the table

below?

x y

2 3

4 7

6 11

8 ?

A 13

B 14

C 15

D 16

4. Which fraction is equivalent to 50 % of ¼?

A 101

B 81

C 61

D 21

2 3 4 510 6-1-2-3-4-5

2 3 4 510 6-1-2-3-4-5

2 3 4 510 6-1-2-3-4-5

2 3 4 510 6-1-2-3-4-5

Page 13: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 1

1A Compare and order integers and positive rational numbers

1. Brenda is shopping for a new coat. She has

compared prices at several stores. Which shows the prices ordered from least to greatest?

A $54.08, $51.95, $54.22, $58.21

B $51.95, $54.08, $54.22, $58.21

C $54.08, $54.22, $51.95, $58.21

D $58.21, $54.22, $54.08, $51.95

2. Ruby records the temperature of a solution

in the science lab for several days. Which shows these temperatures ordered from greatest to least?

A 83.2, 84.5, 82.3, 83

B 84.5, 83.2, 83, 82.3

C 83.2, 82.3, 83, 84.5

D 82.3, 83, 83.2, 84.5

3. In Mission, the June rainfall for four consecutive years was:

433 in., 2

13 in., 323 in., 4

13 in.

Which lists these amounts from greatest to least?

A 433 in., 2

13 in., 323 in., 4

13 in.

B 413 in., 3

23 in., 213 in., 4

33 in.

C 323 in., 4

33 in., 213 in., 4

13 in.

D 433 in., 3

23 in., 213 in., 4

13 in.

4. Which list of fractions is ordered from least

to greatest?

A 512 , 3

12 , 322 , 4

12

B 512 , 4

12 , 312 , 3

22

C 322 , 3

12 , 412 , 5

12

D 412 , 3

12 , 322 , 5

12

Page 14: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 2

1B Convert between fractions, decimals, whole numbers, and percents …

1. A store manager increased prices 4 %. How

would this percent be expressed as a

decimal?

A 4.0

B 0.4

C 0.04

D 0.004

2. On Tuesday, ¾ of the student body carried

backpacks. What percent of the student

body carried backpacks?

A 83 %

B 75 %

C 66 %

D 34 %

3. Which fraction represents the decimal 0.8?

A 81

B 32

C 54

D 98

4. A study finds that 30 % of seventh-grade

students read more than 2 books per week.

What fraction of seventh graders does this

represent?

A 31

B 103

C 301

D 100

3

Page 15: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 1

1C Represent squares and square roots using geometric models

1. How many square feet are in 1 square yard?

A 3 sq. ft.

B 6 sq. ft.

C 9 sq. ft.

D 12 sq. ft.

2. A banner has an area equivalent to 40 square

feet. If it is 5 feet tall, how wide is the

banner?

40 ft.2 5 ft.

A 8 ft.

B 10 ft.

C 12 ft.

D 15 ft.

3. This square has an area of 36 in2. How long

is each side?

Area = 36 in.2

A 4 in.

B 6 in.

C 7 in.

D 9 in.

4. What is the area of one side of a cube that

measures 2 meters on a side?

2 meters

A 2 m2

B 4 m2

C 8 m2

D 16 m2

Page 16: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 2

2A Represent multiplication and division situations involving rational numbers using models, words, pictures and numbers

1. How many blocks would be necessary to

construct the figure shown?

A 16

B 32

C 48

D 64

2. If the length and width of this rectangle are

each doubled, what will be the new area?

w = 6 cm

l = 4 cmArea = l × w

A 36 cm2

B 40 cm2

C 48 cm2

D 96 cm2

3. The volume of a rectangular prism is found

with the formula V = l × w × h. What is the volume of the prism shown below?

5 in4 in

4 in

A 75 in.3

B 80 in.3

C 100 in.3

D 110 in.3

4. A local store sells a box of 15 pencils for

$1.15 per box. If a teacher has 25 students in his class and wants to buy each student 3 pencils, how many boxes will he need to buy?

A 3

B 4

C 5

D 6

Page 17: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 1

2B Use addition, subtraction, multiplication, and division to solve problems with fractions and decimals

1. Jean divided a bag of chips between 5

people. If each person’s share weighed 2 ¼

ounces, what was the weight of the original

bag?

A 10 ¼ ounces

B 10 ½ ounces

C 11 ¼ ounces

D 12 ounces

E Not Here

2. Ben has a piece of ribbon 431 feet wide.

Amy has a piece of ribbon 321 feet wide.

How much wider is Ben’s ribbon than

Amy’s?

A 121 ft.

B 41 ft.

C 31 ft.

D 125 ft.

3. A recipe calls for 812 cups of sugar and 4

34

cups of flour to be mixed in a bowl. What is

the total amount of ingredients in the bowl?

A 3236 c

B 316 c

C 216 c

D 876 c

4. Andrea jogs 3 days. The first day she jogs

2 ¼ laps. The second day she jogs 2 ½ laps.

The third day she jogs 3 ½ laps. How far

does she run in total?

A 7 ¼ laps

B 7 ½ laps

C 8 ¼ laps

D 8 ½ laps

E Not Here

Page 18: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 2

2B Use addition, subtraction, multiplication, and division to solve problems with fractions and decimals

1. Laura is planning to read for 214 hours

today. If she has already read for 411 hours,

how much longer is she planning to read?

A 432 hr

B 413 hr

C 213 hr

D 433 hr

2. Ricky mowed 31 of his yard before lunch.

After lunch he mowed 41 more. How much

of the yard is left to mow?

A 127

B 32

C 61

D 71

3. Gus has a board 216 feet long that he must

cut into 4 equal pieces. How long will each

piece be?

A 851 ft.

B 211 ft.

C 811 ft.

D 138 ft.

4. James is walking to the store 812 miles

away. He has walked 651 miles already.

How much further does he have to walk?

A 247 miles

B 2471 miles

C 24171 miles

D 24233 miles

E Not Here

Page 19: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 3

2C Use models to add, subtract, multiply, and divide integers and connect the actions to algorithms

1. Pam owes Becky $12. Pam gave Becky $4.

Which expression could be used to determine how much money Pam still owes?

A -12 – 8

B -12 + 8

C -12 + -8

D 12 + 8

2. Which expression is modeled on the number

line below?

2 3 4 510 6-1-2-3-4-5

-4

A 1 + 3 = 4

B -3 – 4 = -7

C 1 + -4 = -3

D 4 – 3 = 1

11. Anika drew the number line below with 2 cm between each number. What is the distance between -2 and 3?

2 3 4 510 6-1-2-3-4-5

A 5 cm

B 8 cm

C 10 cm

D 12 cm

12. Phil’s baseball team was losing by 4 points.

Their opponents scored 2 more points. How many points will Phil’s team need to tie the game?

A 2

B 4

C 6

D 8

Page 20: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 4

2D Use division to find unit rates and ratios in proportional relationships

1. Bill’s brother puts 20 gallons of gasoline in

his car and pays $22.00. What is the price for 1 gallon?

A $1.20

B $1.10

C $1.05

D $1.00

2. Mrs. Mendez drove 270 miles to San

Antonio in 4½ hours. What was her average speed in miles per hour?

A 67.5 mph

B 65 mph

C 60 mph

D 55 mph

3. A pet store has 15 dogs and 12 cats. Which of these is the ratio of cats to dogs?

A 4 to 5

B 7 to 6

C 5 to 4

D 3 to 4

4. Elizabeth pays $37.50 for 5 yards of

material. What is the cost per foot?

A $10.00

B $7.50

C $5.00

D $2.50

Page 21: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 5

2E Simplify numerical expressions involving order of operations and exponents

1. Which is another way to express 35 × 2

3?

A 3 × 3 × 3 × 3 × 3 × 2 × 2 × 2

B 5 × 5 × 5 × 3 × 3

C 3 × 5 × 2 × 3

D 3 × 4 × 5 × 2 × 3

2. Which is the value of the following

expression?

52 – 2 × 5 – (2 + 3)

A 16

B 12

C 10

D 9

3. Which describes 4 × 4 × 4 × 3 × 3?

A 24 × 3

3

B 34 × 2

3

C 42 × 3

3

D 43 × 3

2

4. Which is the value of the following

expression?

8 + 6 ÷ 2 + 5 × 2

A 17

B 21

C 24

D 32

Page 22: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 4

2F Select and use appropriate operations to solve problems and justify the selections

1. Mr. and Mrs. Diaz went to the carnival.

They each bought a hotdog and a soda. The hotdogs cost $1.25 each and the sodas were $0.75 each. Which expression could be used to find how much the couple spent?

A 2 × 1.25 + 0.75

B 2 × (1.25 + 0.75)

C (1.25 + 0.75) ÷ 2

D 1.25 + 0.75 + 2

2. A barrel of chicken feed weighs 96 pounds.

A store uses these barrels to fill bags that contain 4.8 pounds of feed. How many bags can be filled from one barrel?

A 22

B 20

C 18

D 16

3. The temperature in Amarillo was -4 degrees. A new cold front came through and the temperature dropped 8 degrees. What was the new temperature?

A 4 degrees

B -4 degrees

C -8 degrees

D -12 degrees

4. If 8 + x = 24, what is the value of x?

A 3

B 6

C 8

D 16

Page 23: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 6

2G Determine the reasonableness of a solution to a problem

1. Wally read between 3 and 5 books a month.

Which is a reasonable estimate of the number of books Wally reads in one year?

A 30 books

B 50 books

C 70 books

D 90 books

2. The student council is washing cars to raise

money. If they charge $4.50 to wash a car, about how many cars must they wash to raise $300?

A 30

B 60

C 90

D 120

3. Marissa’s patio is 32 feet wide and 19 feet long. Which is a reasonable estimate of the area of the patio?

A 150 sq. ft.

B 300 sq. ft.

C 450 sq. ft.

D 600 sq. ft.

4. It takes Justin between 15 and 20 minutes to

walk home each day. About how much time does he spend walking home in 15 days?

A 5 hrs

B 6 hrs

C 7 hrs

D 8 hrs

Page 24: Objectives 7th Grade Math

5th Six Weeks Benchmark Page 1

3A Estimate and find solutions to application problems involving percent

1. A survey of 1200 students found that 25 %

of them played softball. How many students played softball?

A 200

B 300

C 400

D 600

2. A $30 dollar shirt was reduced 10 % for a

sale. What was the sale price of the shirt?

A $3.00

B $4.00

C $26.00

D $27.00

3. Out of a group of 60 students, 24 students are boys. What percent of the students are boys?

A 24 %

B 40 %

C 60 %

D 76 %

4. Chris took an exam with 80 questions and

answered 65 questions correctly. Which expression could be used to determine the percent of questions Chris answered correctly?

A (65 + 80) × 100

B (80 – 65) × 100

C (65 ÷ 80) × 100

D (80 ÷ 65) × 100

Page 25: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 7

3B Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs …

1. ∆GHI and ∆JKL are similar triangles. What

is the length of HI?

G

H

J

6 yd

4 yd

6 yd

I

K

L

A 9 yd.

B 10 yd.

C 24 yd.

D 36 yd.

2. A tree 6 meters tall casts a shadow of 18

meters. A flagpole nearby casts a shadow of

36 meters. How tall is the flagpole?

A 12 m

B 18 m

C 24 m

D 36 m

3. ∆ABC and ∆DEF are similar triangles.

What is the length of EF?

A

B

D

9 cm

6 cm6 cm

C

E

F

A 4 cm

B 6 cm

C 9 cm

D 12 cm

4. A printer can print 15 pages in 2 minutes.

How many pages can be printed in 30

minutes?

A 150

B 225

C 300

D 450

Page 26: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 3

4A Generate formulas involving conversions, perimeter, area, circumference, volume

1. Gabriel planted a square-shaped garden. If

the perimeter of the garden is 18 feet, how

long is one side?

A 4 ft.

B 4.5 ft.

C 6.5 ft.

D 9 ft.

2. Valerie wants to fill a shoebox with photos.

If the area of the box’s base is 60 sq. in.,

what else will Valerie need to know to find

the volume of the box?

A The perimeter of the base

B The height of the box

C The length of the base

D The weight of the box

3. Rene painted a picture and wanted to make a

frame. If the area of the picture is 24 square

inches and the length is 6 inches, what is the

perimeter?

A 10 in.

B 20 in.

C 24 in.

D 36 in.

4. Jill ran around a circular track 5 times. If

the diameter of the track is 20 m, which is a

reasonable approximate of the distance she

ran?

A 60 m

B 120 m

C 300 m

D 450 m

Page 27: Objectives 7th Grade Math

1st Six Weeks Benchmark Page 7

4C Describe the relationship between the terms in a sequence and their positions in the sequence

1. What is the seventh term in this sequence?

3, 5, 9, 15, 23, …

A 33

B 45

C 59

D 75

2. How is the next term in this sequence

found?

5, 10, 20, 40, 80, 160, …

A Add 5 to the previous term.

B Multiply the previous term by 10.

C Divide the previous term by 5.

D Double the previous term.

3. Which of these series is created by dividing

each previous term by 2?

A 3, 5, 7, 9, …

B 100, 50, 0, -50, …

C 4, 8, 16, 32, …

D 1, 0.5, 0.25, 0.125, …

4. What is the tenth term in this sequence?

2, 3, 5, 6, 8, 9, 11, 12, …

A 13

B 14

C 15

D 16

Page 28: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 6

5A Use concrete models to solve equations and use symbols to record the actions

1. Which is a solution to the following

expression?

12.4c = 44.64

A c = 553.536

B c = 57.08

C c = 32.24

D c = 13.08

E c = 3.6

2. Which is a solution to the following

expression?

95

31

=+n

A n = 92

B n = 32

C n = 21

D None of these

3. Which is a solution to the following

expression?

r – 1.15 = 8

A r = 6.15

B r = 6.85

C r = 9.15

D r = 9.85

4. Which is a solution to the following

expression?

123 =n

A n = 3

B n = 4

C n = 15

D None of these

Page 29: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 8

5B Formulate a possible problem situation when given a simple equation

1. A long distance company charges $4.50 a

month plus $0.15 per minute for calls. Which expression could be used in determining the cost of the monthly phone bill?

A 4.50 + 0.15m

B 0.15 + 4.50m

C (0.15 + 4.50)m

D 4.50 ÷ m + 0.15

2. For a school field trip, there must be 2 sponsors for every 30 students. Which expression could be used to determine the number of sponsors needed to accompany 120 students?

A (120 + 30) ÷ 2

B 120 ÷ 2 × 30

C (120 ÷ 30) × 2

D 120 × 30 ÷ 2

Page 30: Objectives 7th Grade Math

2nd

Six Weeks Benchmark Page 7

5B Formulate a possible problem situation when given a simple equation

1. Mr. Case bought a used car on credit. If he

owes $2640 and will make payments of $220, which equation can be used to determine the number of payments Mr. Case will make?

A 2640220 =p

B 2640220 =+ p

C 2640220 =−p

D 2640220 =p

2. Juan earned twice as much money mowing yards this month as last month. If x represents how much Juan earned last month, which expression represents how much he earned this month?

A x + 2

B 2 ÷ x

C 2x

D x2

3. Arnold has 125 baseball cards and has 12 more than Jorge. Which equation could be used to find b, the number of baseball cards Jorge has?

A b = 125 ÷ 12

B b = 125 – 12

C b = 125 × 12

D b = 125 + 12

4. A rental car company charges $5.00 an hour plus $0.25 per mile. They use the expression 5d + 0.25m to determine the cost of the rental. What would a customer pay if they rented a car for 3 days and drove it 45 miles?

A $37.75

B $26.25

C $22.25

D $15.25

Page 31: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 4

6A Use angle measurements to classify angles as complementary or supplementary

1. Which is a pair of supplementary angles?

A

B

C

DE

O

A ∠AOB and ∠BOC

B ∠BOC and ∠EOD

C ∠AOE and ∠EOD

D ∠EOD and ∠DOC

2. If ∠ABF measures 36°, what is the measure

of ∠FBC?

A

B

C

F

A 90°

B 64°

C 54°

D 36°

3. What is the measure of the angle that is

supplementary to ∠GHI?

H

I

G

54°

A 36°

B 90°

C 126°

D 180°

4. What is the measure of the angle that is

complementary to ∠MNO?

N

O

M

62°

A 28°

B 38°

C 118°

D 128°

Page 32: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 5

6B Use properties to classify shapes including triangles, quadrilaterals, circles, …

1. Which of these shapes must contain a right

angle?

A rectangle

B parallelogram

C equilateral triangle

D pentagon

2. Which describes this triangle?

A scalene triangle

B right triangle

C equilateral triangle

D obtuse triangle

3. Which one of these may contain an obtuse

angle?

A right triangle

B parallelogram

C square

D rectangle

4. What is a plane figure containing points that

are all an equal distance from a point called

the center?

A circle

B pentagon

C square

D triangle

Page 33: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 6

6C Use properties to classify solids, including pyramids, cones, prisms, and cylinders

1. Which of these figures contains 6 faces?

A cylinder

B cone

C pyramid

D cube

2. Which has the greatest number of faces?

A triangular prism

B triangular pyramid

C square pyramid

D rectangular prism

3. Which best describes this solid?

6 cm

4 cm

6 cm

A rectangular prism

B cube

C triangular prism

D cone

4. Which best describes this solid?

A rectangular prism

B cube

C triangular prism

D cone

Page 34: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 8

6D Use critical attributes to define similarity

1. Which set of measurements describes a

rectangle similar to the one shown below?

length: 6

width: 4

A length: 8, width: 6

B length: 12, width: 2

C length: 5, width: 3

D length: 12, width: 8

2. A tree 4 meters tall casts a shadow of 14

meters. At the same time, a nearby building

casts a shadow of 42 meters. How tall is the

building?

A 7 m

B 12 m

C 21 m

D 32 m

3. The triangles below are similar. What is the

missing length?

9 in

3 in

6 in

6 in

?

4 in

A 2 in.

B 3 in.

C 6 in.

D 10 in.

4. If ∆DEF is similar to ∆ABC, which are

possible dimensions of ∆DEF?

A

B

C

D

E

F

3 ft

8 ft

6 ft e

d

f

A d = 7 ft., e = 4 ft., f = 9 ft.

B d = 18 ft., e = 9 ft., f = 24 ft.

C d = 12 ft., e = 9 ft., f = 32 ft.

D d = 6 ft., e = 6 ft., f = 9 ft.

Page 35: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 1

7A Locate and name points on a coordinate plane using ordered pairs of integers

1. Which ordered pair describes the point A in

the graph below?

A (4, 3)

B (3, 4)

C (4, -3)

D (-3, 4)

2. Which point on the graph is located at the

coordinates (3, 1)?

A S

B T

C U

D V

3. Which point has coordinates (3, -4)?

A S

B T

C U

D V

4. Which ordered pair identifies the point R on

the graph below?

A (2, -3)

B (-2, 3)

C (3, -2)

D (-3, 2)

Page 36: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 2

7B Graph translations on a coordinate plane

1. If the point A is translated 5 units up and 3

units to the left, what will be the new

coordinates?

A (1, 2)

B (2, 1)

C (2, 3)

D (3, 2)

2. Which point represents the point A

translated 5 units up and 2 units to the right?

A W

B X

C Y

D Z

3. Which figure is a translation of figure A?

A figure W

B figure X

C figure Y

D figure Z

4. Which translation of point A will create

point B?

A 4 units left, 2 units down

B 2 units up, 4 units right

C 2 units left, 1 unit up

D 2 units right, 3 units up

Page 37: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 3

8A Sketch a solid when given the top, side, and front views

1. Which picture represents this solid when

viewed from above?

A

B

C

D

2. Which picture represents this stack of cubes

when viewed from above?

A

B

C

D

Page 38: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 4

3. Which solid represents these side, top, and

front views?

Side

Top

Front

A

Front

Side

B

Front

Side

C

Front

Side

D

Front

Side

4. Which picture represents this stack of cubes

when viewed from above?

Side

Top

Front

A

Side Front

B

Side Front

C

Side Front

D

Side Front

Page 39: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 5

8B Make a two-dimensional model of the surface area of a solid

1. Which three-dimensional shape can be

formed by folding this figure?

A

B

C

D

2. Which figure represents the surface area of

this solid?

A

B

C

D

Page 40: Objectives 7th Grade Math

4th Six Weeks Benchmark Page 6

3. Which three-dimensional figure can be

formed from this net?

A cube

B rectangular prism

C pyramid

D cylinder

4. Which three-dimensional figure can be

formed from this net?

A cube

B rectangular prism

C pyramid

D cylinder

Page 41: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 7

8C Use geometric concepts and properties to solve problems in fields such as art …

1. Kim’s living room measures 25 feet wide

and 17 feet long. She wants to tile the floor

with tiles that measure 1 ft. by 1 ft. How

many tiles will she need to cover the floor?

A 170

B 250

C 425

D 650

2. On a certain blueprint, 1 inch represents 4

feet. What distance is represented by 3.5

inches?

A 12 ft.

B 14 ft.

C 16 ft.

D 20 ft.

3. The base of a water fountain is shaped like a

regular pentagon. If each side measures 2

meters, what is the perimeter of the base?

A 5 m

B 8 m

C 10 m

D 12 m

4. Beth has a 12-foot board. She wants to cut

the board so that one piece is 2 feet shorter

than the other. What will be the length of

the shorter piece?

A 10 ft.

B 6 ft.

C 5 ft.

D 4 ft.

Page 42: Objectives 7th Grade Math

3rd

Six Weeks Benchmark Page 8

9 Estimate measurements and solve application problems involving length (including perimeter and circumference), area, and volume

1. Which of these units would be most

appropriate to measure the height of a

flagpole?

A centimeters

B decimeters

C meters

D kilometers

2. A shoebox measures 4 inches high, 6 inches

long, and 12 inches wide. What is the

volume of the shoebox?

A 288 in.3

B 72 in.3

C 48 in.3

D 22 in.3

3. A rectangular painting measures 2 feet long

and 3 feet wide. What is the area of the

painting in square inches?

A 6 in2

B 72 in2

C 864 in2

D 10,368 in2

4. What is the perimeter of the painting

described in the previous problem expressed

in inches?

A 200 in.

B 120 in.

C 100 in.

D 60 in.

Page 43: Objectives 7th Grade Math

7th Grade Warm-Ups 1st Nine-Weeks

Warm Up - Day 1

Compare using <, >, or =.

1. 7

1

7

6

Complete the statement. 2. 7,800 g = ________kg 3. p + 17 = 56 4. Jane had $22.25 before baby-sitting on Saturday. After babysitting she had $48.75. Which equation can be used to find b, the amount of money Jane earned from baby-sitting? A. $22.25 – b = $48.75 C. $48.75 – b = $22.25 B.$22.25 + $48.75 = b D. $48.75 + b = $22.25

Warm Up – Day 2

1. What is the new ordered pair for reflecting point D across the x-axis?

-2

-3

-4

-5

-6

-7

-8

-9

-10

-1 0 -9 -8 -7 -6 -5 -4 -3 -2

1

2

3

4

5

6

7

8

9

1 0

10987654320-1

-1

1

G

D

O

Page 44: Objectives 7th Grade Math

D B

2. Find the approximate length and width and then find the perimeter. = 1 inch 3. Eliza’s grades on her daily math homework were 8, 10, 7, 9, 9, 4, 8, 2, 10, 8, 3, 7, 9, 6, and 4. Which measure of the data is not represented by a score of 8? A. Mean B. Median C. Mode D. Range 4. Ethan collected five rocks that weighed a total of 43.4 kg. Two of the rocks were identical, and each weighed 13.3 kg. If two of the other rocks weighed 4.7 kg and 5.3 kg, what was the weight of the fifth rock in kilograms?

Warm Up – Day 3

1. AC ≅ _____ Convert to a percent. 2. 0.35

3. 4

3 +

2

1 = x

4. Raul bought 3 posters for $2.59 each and 2 posters for $1.98 each. He paid $0.59 in tax. How much did he spend?

A

C

Page 45: Objectives 7th Grade Math

A

Warm Up – Day 4

1. Identify the equation below that models

a b • a c = a cb+

A. 5 3• 5 4 = 25 7 C. 5 + 5 + 5 +5 + 5 + 5 + 5 = 5 7

B. 53 + 54 = 57 D. 5 3• 5 4 = 5 7

2. Write an equation to represent the distance from A to B if the total distance around the diamond is 360 inches. B 3. If the figure is translated 5 units down and 2 units right, what is the new ordered pair for point C?

4. Brian is training for a race. He is increasing his long run each week by 1.5 miles. The first week his long run is 3 miles. During which week will his long run be 12 miles? A. Week 4 B. Week 6 C. Week 7 D. Week 9

A

B

C

Page 46: Objectives 7th Grade Math

Warm Up – Day 5

1. Estimate the volume of the rectangular prism.

2. If Corey buys a jacket for 30% off the original price $399, how much did he pay for the jacket? 3. If 4 slinkies costs $1.56, how much does one slinky cost? 4. A salon is offering a 20% discount on all haircuts. What was the regular price of a cut whose discount price is $30?

6 cm

5 cm

10 cm

Page 47: Objectives 7th Grade Math

Warm-Up - Day 6

1.) Convert 65% to a simplified fraction and decimal.

2.) Ten is _____ times greater than five.

3.) Three times Paul’s age is 12. What is Paul’s age?

4.) Mr. Porter bought 24 bagels at 6 for $2.49 and 12 cartons of juice at 6 for $1.98. What was the total cost of the bagels and juice Mr. Porter bought, not including tax?

Warm-Up – Day 7

1.) Find the perimeter of the following equilateral triangle. 1.74 cm 2.) ABC is similar to XYZ. What is the measure of angle Y? A X Y Z B C

3.) Daniel and Paul have saved $37.00 to buy their mother a present. Daniel saved $8.00 less than Paul. How much money did Paul save?

50

90 40

Page 48: Objectives 7th Grade Math

4.) Three ducks and two ducklings weigh 32 kg. Four ducklings weigh 44 kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?

Warm-Up Day 8

1.) If point Z is translated 7 units to the left and 4 units down, what will the new

coordinates are?

2.) The floor plan of a ballroom is shown below. The wall represented by AB is going to be removed, to provide an opening to the kitchen. How wide will the opening be? 31 ft A

B

3.) Mrs. Ramirez asked 30 friends how many times they went to the movies last month; the responses are shown in the table below.

Movies Number of People

0 4

1 8

2 4

3 6

Z

12 ft

7 ft

20 ft

6 ft

6 ft

Page 49: Objectives 7th Grade Math

Which number represents the most common number of times people went to the movies?

4.) A farmer grows 252 kilograms of apples. He sells them to a grocer who dives them into 5 kilogram and 2 kilogram bags. If the grocer uses the same number of 5 kg and 2 kg bags, then how many bags did he use in all?

Warm-Up Day 9

1.) Solve. 4 + (8 ÷ 4)3 – 5 2.) Cindy worked for 23 hours last week baby-sitting. She earned $126.50. What was Cindy’s rate of pay? 3.) What is 20% of 120? 4.) A recipe that makes a dozen muffins calls for 1½ cups of flour. How much flour is needed to make 18 muffins using this recipe?

Warm-Up Day 10

1.) Name the quadrant and give the ordered pair that point V lies in?

4 4

5 0

6 4

Z

Page 50: Objectives 7th Grade Math

2.) When analyzing public drinking water, researches found a 10 to 1 ratio of type A to type B bacteria. If the number of type B bacteria in the sample was 420, how many type A bacteria were present?

3.) The estimated circumference of a circle is 12cm. Approximately how long is

diameter of the circle? (Use 3 for pi)

4.) Isabel has a bookcase with 6 shelves on it. She puts 40 books on the bottom shelf, 33 books on the next shelf, 27 books on the next shelf, and 22 books on the shelf above that one. If the pattern continues, how many books will be on the top shelf?

Warm-Up Day 11

1.) The ordered pair (0,-10) would lie on which axis? 2.) Find the volume of the figure below? 3.) If the measurement of ∠D + the measurement of ∠E = 180, the ∠D and ∠E are _____________ angles? 4.) A group of five workers received the following incomes last year: $23,000 $25,000 $48,000 $22,500 $24,000 The lowest-paid workers want to negotiate a pay raise. What measure of central tendency would be most favorable to them in the negotiation?

Warm-Up Day 12

1.) The ordered pair (-5, 9) would fall into which quadrant on a coordinate plane? 2.) The area of the rectangle pictured below is ______ times the size of the area of the triangle pictured below.

6 in

12 in 5 in

Page 51: Objectives 7th Grade Math

3.) The table below shows the cost of a movie ticket at seven different theaters.

Theater Ticket Cost

Tam’s $5.50

VistaPlex $6.75

Lighthouse $4.25

RPA $7.50

Brightview $4.95

What is the range for the data in the table? 4.) A packing company sells a large and a small packing box. How many more cubic feet does the large box hold than the small one? 4 in 8in 5 in 10in 6in 12in

Warm-Up Day 13

1.) How many faces, edges, and vertices does the following shape have? 2.) Which statement is always true about a rectangle?

a. It has exactly one pair of parallel sides. b. It has four congruent angles c. It has four congruent sides d. The sum of the measure of its angles is 180.

Page 52: Objectives 7th Grade Math

3.) If the 2-dimensional figure is cut out and turned into a 3-dimensional “solid”, which

figure best represents that solid?

A. B. C. D. 4.) Pablo spent half of his birthday money on concert tickets and one third of the remaining amount on food. After he used $12.35 on a train ticket, he had $8.25 left. How much money did Pablo begin with?

Warm-Up Day 14

1.) Jonah helped his uncle install fence on his ranch. They made a pen that was 11½ yards

long on two sides, 4½ yards on the third side, and 5¼ yards long on the fourth side. What

is the total length of fence they installed?

2.) Kaley determined that 42% of all jet engines built today are turbojets, rather than

turbofans. Approximately what fraction of jet engines built today are turbojets?

3.) The regular price of a leather jacket was $85. Robin bought the jacket on sale for $62.

If the tax rate is 8%, which number sentence could be used to find T, the total cost of the

jacket with tax?

A. T= $62 x 0.08 C. T = $85 x 0.08 - $62

B. T = ($62 x 0.08) + $62 D. T= ($85 - $62) x 0.08

Page 53: Objectives 7th Grade Math

4.) Three people share a car for a period of one year and the mean number of kilometers

travelled by each person is 152 per month. How many kilometers will be traveled in one

year?

Warm-Up Day 15

1. What is the correct way to express 5% as a decimal? (7.1B)

2. When analyzing public drinking water, researchers found a 10 to 1 ratio of type A

to type B bacteria. If the number of type B bacteria in the sample was 420, how many type A bacteria were present? (7.3B)

3. Mr. Wendell donated $5000 to NASA for its youth scholarship program. NASA

then gave equal amounts of that money to 40 middle school students, to help them

pay for Space Camp. Write an equation that can be used to find a, the amount of

money each student received. (7.5B)

4. Paula is 8 years old and her little sister is 6 years old. Their mother is 4 times Paula’a age. How old is Paula’s mother? (7.14A)

Warm-Up Day 16

1. A quadrilateral is graphed. Which figure is a reflection of the quadrilateral?

(7.7B)

a. c.

Page 54: Objectives 7th Grade Math

b. d.

2. A box of cereal measures 2 inches by 7 inches by 11 inches. What is the volume

of the box? (6.8B ~ 7.9C)

3. The Acme Lawn Service Company works 2 teams of high school students each

summer. The graph shows the profits that each team made during the last

3 summers.

How much more profit did Team A make in 1996 than in 1994? (6.10D ~ 7.11B)

4. Alfred purchased tickets to the baseball game for himself, his father, and his

2 brothers. The amount he paid was based on the prices posted on the chart. What

other information do you need to know to determine how much he spent for the

tickets? (6.11C ~ 7.13C)

a. The age of his father

b. The section where they wanted to sit

Page 55: Objectives 7th Grade Math

c. The ages of Alfred and his brothers

d. The names of the teams that were played.

e. The time the game was played.

Warm-Up Day 17

1. What is the correct way to express 3/5 as a decimal? (7.1B)

2. The diameter of a circle is 24 ft. What is the radius? (6.6C ~ 7.6D)

3. The first row in a theater has 8 seats, the second row has 12 seats, and the third

row has 16 seats. If this pattern continues, how many seats will the sixth row have?

(7.4C ~ 7.5B)

4. Which number less than 100 has the following characteristics? (6.12A ~ 7.14A)

• It is a multiple of 9.

• The tens digit is odd and the ones digit is even.

• The ones digit is twice the tens digit.

a. 36 b. 63 c. 81 d. 90

Page 56: Objectives 7th Grade Math

Warm-Up Day 18

1. Dwayne wants to translate pentagon ABCDE in such a way that vertex C is

moved from the point (1, -2) to (7, -6). What are the steps that can be used for this

translation? (7.7B)

a. Move the pentagon six units left and four units up.

b. Move the pentagon six units right and four units down.

c. Move the pentagon four units left and six units up.

d. Move the pentagon four units right and six units down.

2. Find the perimeter of a rectangle having a length of 3 feet and a width of 6 inches.

(7.9A)

3. The chart relates the number of counselors at each campus in the school district to

the number of students at that campus. What is the most accurate statement

regarding this data? (7.11B)

Counselors Students

5 618

3 359

6 776

2 265

a. Students prefer attending large schools.

b. Large school students never see their counselor.

Page 57: Objectives 7th Grade Math

c. Small schools have more students per counselor.

d. More students means there will be more counselors.

4. A certain cement block can be stacked to heights of 9, 18, 27, and 36 inches. Using

the same block, which of the following stacks could be made?

e. 40 in. c. 51 in.

f. 47 in. d. 54 in.

Warm-up Day 19

1. Is the transformation shown below a translation, reflection, or rotation? (7.7B) 2. In the prism below, what missing piece of information is needed in order to find

the volume? (7.9C)

3. The heights of 5 boys in Ms. Smith’s class are 60 in., 58 in., 59.5 in., 62 in., and 58 in. Which of the following statements is true about this set of data? (7.11B)

a) The mode is 59.5 in. b) The mean is 59.5 in. c) The range is 59.5 in. 4. One year, Texas had about 2.6 times as many head of cattle as Oklahoma.

Oklahoma had 5.2 million. How many head of cattle did Texas have?

Warm-up Day 20

h = 10

w = 7

Page 58: Objectives 7th Grade Math

1. If point A is at (-3, 4) and is translated down 2 units and right 5 units, what will

the new coordinates of point A’ be? (7.7B) 2. Estimate the perimeter of the figure shown. (7.9A)

3. The table below shows the net profit of Julie’s Jewels gift shop for the past 5

years. If sales continue to increase, what would be a reasonable profit amount to expect for next year? (7.11B)

Julie’s Jewels: �et Profit

Year Profit

2007 $600

2008 $725

2009 $835

2010 $975

2011 ?

4. Diego subtracted 2 from the number of sides in an octagon. Then he multiplied

this difference by 180 and divided the product by the number of sides of an octagon. If he did all of this correctly, what was the final value?

Warm-Up: Day 21

3.7 cm

Page 59: Objectives 7th Grade Math

1. If the figure of the arrow is reflected across the y axis, what coordinates

best describe the location of the image of the tip of the arrow? 2. W hat is the area of a trapezoid with base lengths of 8 centimeters and 12

centimeters and a height of 3 centimeters.

3. The following data set shows the number of past receptions Michael Irvin had in each of his 12 years with the Cowboys.

32, 26, 20, 93, 78, 88, 79, 111, 64, 75, 74, 10 Which one of the central tendencies best describe the difference between Irvin’s worst year and his best year?

4. Tom bought several tickets to the rodeo for his family. Tom gave the cashier a fifty dollar bill and received $18.75 in change. How many tickets did Tom buy?

Warm up Day 22

1. What will be the tax on a $10 T-shirt? (Tax is 8.25%) 2. A 1500 square foot house costs $175,000. What is the price per square foot?

3. Design a word problem that can be described by the equation 4b ?

4. Three cases of hamburgers can feed 115 people. A company is expecting 455

people for their annual family picnic. How many cases of hamburgers do they need?

Page 60: Objectives 7th Grade Math

Warm up: Day 23

1. Write two fractions that are equivalent to 0.5.

2. On a map 1 centimeter equals 60 miles. How many miles are represented by 3

centimeters?

3. Write an equation to match this statement: A number divided by 3, increased by 10, is 28.

4. A teacher has 32 students in her class. She wants to put them into groups of equal

number. How many ways can she group her students equally?

Warm up: Day 24

1. 2/3x1/2 = 2. Triangle ABC and Triangle DEF are both equilateral triangles. Are the two

triangles similar?

3. Write an equation to match this situation: Rudy saw 7 groups of birds each afternoon for 2 days. How many birds did he see all together?

4. Profits at the school concession stand decreased $25.00 per game compared to

last year’s profits. What was the total change in profits for the last five games compared to the previous year?

Warm up: Day 25

1. In the coordinate plane below, which coordinates best represent the translation of the heart down 4 units and left 6 units?

Page 61: Objectives 7th Grade Math

2. A circle has a diameter of 10 inches. What is the circumference of the circle? 3. Use the table below to answer #3.

English Test Scores

Test 1 2 3 4 5 6 7

Score 71 82 79 85 70 70 82

What score does Tia need to receive on the eighth test to have a mode of 82? 4, Gina purchased 3 paint brushes for $18.87, not including tax. If each paint brush cost the same amount what was the price of each paint brush?

Warm up: Day 26

1. Order from least to greatest: 0.1,4

3,25.0,

2

3−−

2. A 6 ft. tall person standing near a flagpole casts a shadow 4.5 feet long. The flagpole casts a shadow 15 ft long. What is the height of the flagpole? 3. Estimate the value of g to the nearest whole number: 3.1g = 20.9 4. You make 72 cookies for a bake sale. This is 20% of the cookies at the bake sale. How many cookies are at the bake sale?

Warm up: Day 27

Page 62: Objectives 7th Grade Math

1. A figure is a parallelogram but not a rectangle. It has two lines of symmetry. What type of figure is it? Draw the figure and the two lines of symmetry. 2. Find the area of a triangle with base 12 meters and height 17 meters. 3. The median of a data set is 48. Find the value of the missing data item: 23 34 42 ? 62 67 4. A rectangle has a perimeter of 14 inches. Write whole-number dimensions for another rectangle with the same perimeter.

Warm up: Day 28

1. Estimate the quotient 8

75

4

143 ÷

2. About 21 out of 25 Texans live in an urban area. Write this data as a ratio three different ways. 3. Solve for t: t – 32.8 = -27

4. You rowed 3

2of a mile. You friend rowed

10

8of a mile. Who rowed farther and

by how much?

Warm up: Day 29

1. Give an example of line symmetry seen in a plant or animal. Describe the line symmetry. 2. A circle has a diameter of 50 cm. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi. 3. Find the range: from -3 to 7 4. If a rectangle has a length of 14 inches and a perimeter of 34 inches, what is the width and area?

Warm up: Day 30

1. Write 0.65 as a fraction in simplest form. 2. Brenda lives 1.9 miles from school. Jamar lives 2.5 times as far as Brenda. How

far does Jamar live from school?

Page 63: Objectives 7th Grade Math

3. Write a word phrase for the following algebraic expression: w – 3 4. Calli and Jordan are playing a video game. Calli has 784.95 points when she hits

a bonus and scores 165.5 more points. Jordan has 952.6 points when he hits a trap and loses 130.25 points. Who has more points now? How many more points?

Warm up: Day 31

1. The vertices of ∆ABC are A(-3,4), B(-1,5), and C(-2,1). If the triangle is moved 3

units to the right and 2 units up, what are the new coordinates of A’? 2. What is the area of this triangles?

6cm 8cm 3. Maddie wants to show how many times she scored 92 on a science test. Which is

the most appropriate to show her data? (circle graph, line graph, line plot, Venn diagram)

4. Melinda is sending her friend blocks for a gift. Each of the blocks is a cube with

sides that are 3in. long. The box that the blocks will go in is a cube with sides that are 12in long. What is the greatest number of blocks that will fit in the box?

Warm up: Day 32

1. Evaluate: 48 ÷ (-4 · 3) + 2

2. Two of the angle measures of a triangle are 70º and 50º. If a similar triangle were created, which is not one of the angle measures of the similar triangle?

a) 70 º b) 60 º c) 50 º d) 40 º

3.Your job pays $7 per hour. Write an algebraic expression for your pay in dollars for working h hours. 4. Greg bought a book for $20 and a magazine for $5. The sales tax on his purchase was 5%. What was the total amount of Greg purchase, including sales tax, in dollars and cents?

Page 64: Objectives 7th Grade Math

Warm up: Day 34

1) Multiply 15 by 4.12. Estimate the answer. 2) A designer drew a scale model of a ramp that

will be used to load crates onto a truck. What will be the length, x, of the ramp?

3) Keola has a circular fish pond in his backyard that has a circumference of 36 ft. Write an equation that Keola could use to find the radius of the circle.

4) A high school yearbook adviser knows that last year about

74% of graduating students purchased a yearbook. This year’s graduating class has 233 students. Based on last year’s purchase rate, the yearbook adviser estimates that 172 graduating students will purchase a yearbook this year. Is this a reasonable estimate?

Warm up: Day 35

1) Describe the transformation of triangle ABC.

3

8

4

x

Page 65: Objectives 7th Grade Math

2) Find the volume of a cylinder that has a radius of 4 and a height of 10.

3) The list below shows the number of months each of several

employees worked for a company. 12, 17, 21, 2, 19, 16

Is the mean of this set of data greater than the median?

4) John has scores of 88, 73, 90, 85, and 93 on

five math quizzes. What score must John earn on the next math quiz to have a mean quiz score of exactly 88?

Warm up: Day 36

1) At a school football game, 35% of the people watching the game were middle school students. What fraction of the people watching the game were middle school students?

2) If a 5-pound bag of rice costs $3, how much would a 25-pound

bag of rice cost at that rate?

3) Zena estimates that she needs 3.5 yards of fabric to make a new dress. The fabric she wants costs $8.75 per yard. What expression can Zena use to find the cost of the fabric needed to make the dress?

4) Mr. Taylor purchased hamburger patties and buns for a party. Each package of hamburger patties contained 10 patties. Each package of buns contained 8 buns. Mr. Taylor purchased 9 packages of patties and 11 packages of buns. What expression could be used to represent how many more hamburger patties Mr. Taylor had than buns?