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Algebra Algebra Data Data Numbers Numbers Slope Slope Geometr Geometr y y ?????? ?????? 100 100 100 100 100 100 100 100 100 100 100 100 200 200 200 200 200 200 200 200 200 200 200 200 300 300 300 300 300 300 300 300 300 300 300 300 400 400 400 400 400 400 400 400 400 400 400 400 500 500 500 500 500 500 500 500 500 500 500 500
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AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Dec 28, 2015

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Page 1: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

AlgebraAlgebra DataData NumbersNumbers SlopeSlope GeometrGeometryy

????????????

100100 100100 100100 100100 100100 100100

200200 200200 200200 200200 200200 200200

300300 300300 300300 300300 300300 300300

400400 400400 400400 400400 400400 400400

500500 500500 500500 500500 500500 500500

Page 2: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 48?What is 48?

EvaluateEvaluate

77(y(y + 4) + 6 for + 4) + 6 for yy = = 22

1-1

Page 3: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 25.3?What is 25.3?

EvaluateEvaluate

2.52.5nn + 4 + 4m m

for for nn = 5 and = 5 and mm = = 3.23.2

1-2

Page 4: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is x What is x ≥ ≥ 55

Solve and graph the Solve and graph the inequality inequality

44xx ≥≥ 20. 20.

1-3

0 5

Page 5: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 45What is 45aa – 8? – 8?

SimplifySimplify6(76(7aa – 3) + 3 – 3) + 3aa..

1-4

Page 6: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is -289?What is -289?

Simplify Simplify

16 – 5 16 – 5 • • (12 + (7)(12 + (7)22))

1-5

Page 7: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 57?What is 57?

A toy superstore is selling a video game for a special price the A toy superstore is selling a video game for a special price the week before Christmas. The store receives shipments on week before Christmas. The store receives shipments on

Monday, Wednesday, and Friday. The table below shows the Monday, Wednesday, and Friday. The table below shows the number of the video games shipped to the store and the number number of the video games shipped to the store and the number of the video games sold during the week. Use this information to of the video games sold during the week. Use this information to find the number of the video games the store has left at the end find the number of the video games the store has left at the end

of the week. of the week.

2-1

ReceivedReceived SoldSold

MondayMonday 4949 1212

TuesdayTuesday 1515

WednesdayWednesday 2828 1414

ThursdayThursday 99

FridayFriday 3939 99

Page 8: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 4:9?What is 4:9?

To mix the color “autumn To mix the color “autumn orange,” a painter mixes 24 orange,” a painter mixes 24 parts of blue to 54 parts of parts of blue to 54 parts of

red. What is the ratio of blue red. What is the ratio of blue to red? Express the ratio in to red? Express the ratio in

simplest form.simplest form.

2-2

Page 9: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Demetri gets 8.3 and Terrell gets Demetri gets 8.3 and Terrell gets 5.6 miles/gallon 5.6 miles/gallon

Demetri and Terrell Demetri and Terrell wanted to see whose wanted to see whose car gets better gas car gets better gas

mileage, so they each mileage, so they each drove 100 miles and drove 100 miles and recorded how much recorded how much

gas they used. Use the gas they used. Use the bar graph to find how bar graph to find how many miles per gallon many miles per gallon each person’s car got. each person’s car got. Round decimals to the Round decimals to the

nearest tenth. nearest tenth.

2-3

0

2

4

6

8

10

12

14

16

18

Demetri Terrell

Gas Used Driving

100 Miles

Page 10: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 5 games?What is 5 games?

A basketball season ticket holder pays A basketball season ticket holder pays $84 for her tickets plus $9 for a $84 for her tickets plus $9 for a

program each game. A person who program each game. A person who didn’t buy season tickets pays $25.80 didn’t buy season tickets pays $25.80 for regular admission, but doesn’t buy for regular admission, but doesn’t buy programs. Approximately how many programs. Approximately how many games would the person who doesn’t games would the person who doesn’t hold season tickets need to attend to hold season tickets need to attend to pay the same amount as the season pay the same amount as the season

ticket holder? ticket holder? 2-4

Page 11: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Given the following table, plot Given the following table, plot the data and find an equation the data and find an equation

of a line of best fit. of a line of best fit.

2-5

XX 22 77 33 44 66 11 99 55

yy 44 1313 77 88 1111 22 1717 1010

Y = 1.9x +0.26Y = 1.9x +0.26(x(xmm,y,ymm) = (4.6,9)) = (4.6,9)

Page 12: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 546/y or 39?What is 546/y or 39?

At a Saturday morning job, At a Saturday morning job, MauriceMaurice stuffs 546 baggies with stuffs 546 baggies with 3 toothpaste samples each and 3 toothpaste samples each and must pack them into must pack them into yy boxes for boxes for easy transportation to the post easy transportation to the post

office. If there are 14 boxes, how office. If there are 14 boxes, how many baggies should Maurice many baggies should Maurice

put in each box?put in each box? 3-1

Page 13: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

The temperature in 2001 was 98The temperature in 2001 was 98°?°?

In 2002, the temperature on In 2002, the temperature on the first day of summer was the first day of summer was 92°F. This is 6°F less than it 92°F. This is 6°F less than it was the previous year on the was the previous year on the

first day of summer. What first day of summer. What was the temperature on the was the temperature on the

first day of summer in 2001? first day of summer in 2001? 3-2

Page 14: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 112 days?What is 112 days?

Olivia has recorded rainfall Olivia has recorded rainfall data for 28 days so far. If data for 28 days so far. If

this is 1/4 of the data this is 1/4 of the data needed for her science fair needed for her science fair project, for how many total project, for how many total days will she record data?days will she record data?

3-3

Page 15: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 4 additional days?What is 4 additional days?

David rented a car for his family David rented a car for his family vacation. The total bill for the vacation. The total bill for the car was $520. The standard car was $520. The standard

rate for one week is $380. The rate for one week is $380. The rate for an additional day is rate for an additional day is

$35. How many additional days $35. How many additional days did David have the car?did David have the car?

3-4

Page 16: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is -12?What is -12?

SolveSolve

-9h = 108-9h = 108

3-5

Page 17: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is -1?What is -1?

What is the slope of the What is the slope of the line that passes through line that passes through the points (9, 2) and (4, the points (9, 2) and (4,

7)?7)?

4-1

Page 18: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is y = -1x – 2What is y = -1x – 2Slope = -1Slope = -1

y-intercept = -2y-intercept = -2

Write the equation in slope Write the equation in slope intercept form, then find intercept form, then find the slope and the slope and yy-intercept -intercept

ofof

- 4- 4x x – 4– 4yy = 8. = 8.4-2

Page 19: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Y = -3/5x + 56/5Y = -3/5x + 56/5

Write the equation of the Write the equation of the line that passes through line that passes through

(7, 7) and (2, 10) (7, 7) and (2, 10)

in slope-intercept form? in slope-intercept form?

4-3

Page 20: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Y – 120 = -5(x – 6) , 100Y – 120 = -5(x – 6) , 100

A paper airplane descends at a A paper airplane descends at a rate of 5 feet per second. After rate of 5 feet per second. After 6 seconds it is 120 feet above 6 seconds it is 120 feet above the ground. Write the equation the ground. Write the equation in point slope form that models in point slope form that models the situation. How high will the the situation. How high will the

plane be after 10 seconds?plane be after 10 seconds?

4-4

Page 21: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

Jim’s height when traveling up a Jim’s height when traveling up a hill is represented according to hill is represented according to

the linear equation the linear equation yy = 1/2 = 1/2x x + 2. + 2. Use the slope and Use the slope and yy-intercept to -intercept to

graph this equation.graph this equation.

4-5

Page 22: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 82 Ft.What is 82 Ft.22??

Find the perimeter of the Find the perimeter of the figure.figure.

5-1

23 Ft.

18 Ft.

Page 23: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 61x units?What is 61x units?

Find the perimeter of the figure.Find the perimeter of the figure.

5-2

12x

18.5x

Page 24: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

(0,3), (-2,-2), (2,-2), A = 10 units(0,3), (-2,-2), (2,-2), A = 10 units22

5-3

Identify the ordered pairs for the vertices on the given figure and find the area of the figure.

Page 25: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is What is ≈ 8.3; 74.8 units≈ 8.3; 74.8 units22??

Use the Pythagorean Theorem to find the Use the Pythagorean Theorem to find the height of the triangle to the nearest tenth. height of the triangle to the nearest tenth. Then use the height to find the area of the Then use the height to find the area of the

triangle to the nearest tenth. triangle to the nearest tenth.

5-4

13

108

a

69

Page 26: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is C = 28.4 What is C = 28.4 ππ m m22 or or 89.289.2 m m22

Find the circumference of a Find the circumference of a circle with radius 14.2 m, circle with radius 14.2 m, both in terms of both in terms of ππ and to and to the nearest tenth. Use the nearest tenth. Use

3.14 for 3.14 for ππ. .

5-5

Page 27: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 2,952 cmWhat is 2,952 cm33??

Find the volume of a Find the volume of a rectangular prism with a rectangular prism with a base of 8 cm by 20.5 cm base of 8 cm by 20.5 cm

and height of 18 cm. and height of 18 cm. Round to the nearest Round to the nearest

tenth. tenth.

6-1

Page 28: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 1 gallonWhat is 1 gallon 4 quarts 4 quarts

The appropriate The appropriate conversion factor for conversion factor for

quarts to gallonsquarts to gallons

6-2

Page 29: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 16 cm wide?What is 16 cm wide?

Mona needs to photocopy a 8 Mona needs to photocopy a 8 cm wide by 12 cm long cm wide by 12 cm long

picture from a book for her picture from a book for her report. She wants to enlarge report. She wants to enlarge the picture so that its length the picture so that its length will be 24 cm. How wide will will be 24 cm. How wide will

the enlarged picture be?the enlarged picture be?

6-3

Page 30: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is reduces?What is reduces?

Tell whether the scale Tell whether the scale 15 in:15 ft reduces, 15 in:15 ft reduces,

enlarges, or preserves enlarges, or preserves the size of the actual the size of the actual

object.object.6-4

Page 31: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 3:1What is 3:1

A 6cm cube is built from small A 6cm cube is built from small cubes, each 2 cm on an edge. cubes, each 2 cm on an edge. Compare the following Compare the following values.values.

The edge lengths of the large The edge lengths of the large and small cubesand small cubes

6-5

Page 32: AlgebraDataNumbersSlopeGeometry?????? 100 200 300 400 500.

What is 2,952 cmWhat is 2,952 cm33??

Find the volume of a Find the volume of a rectangular prism with a rectangular prism with a base of 8 cm by 20.5 cm base of 8 cm by 20.5 cm

and height of 18 cm. and height of 18 cm. Round to the nearest Round to the nearest

tenth. tenth.

6-1