7th Grade Math 1st Semester Review Ch.1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Simplify the expression 45 + 16 2 4 – 6.
a. 24.5 c. 47
b. 13.25 d. 29
____ 2. Simplify the expression .
a. –12 c. 100
b. 76 d. 64
____ 3. Pablo earns money by caring for turtles while people are on vacation. Pablo earns $25 per week per pet.
The table shows the number of turtles cared for per week during July. Simplify the expression
to find out how much Pablo earned for the month of July.
Week Pets
Week 1 4
Week 2 2
Week 3 2
Week 4 2
a. $35 c. $450
b. $250 d. $154
____ 4. In an online media store, downloaded songs cost $3 each and books cost $9 each. Taji paid $7 in sales tax
when he purchased 15 songs and 3 books. Write and simplify an expression to show how much Taji spent on
everything, including sales tax.
a. ; $37 c. ; $151
b. ; $223 d. ; $79
____ 5. Tell which property is represented.
a. Associative Property c. Distributive Property
b. Commutative Property d. Identity Property
____ 6. Simplify the expression. Justify each step. Complete the justification.
= ?
= ?
= Add.
=
a. Commutative Property; Identity Property
b. Commutative Property; Associative Property
c. Associative Property; Commutative Property
d. Identity Property; Associative Property
____ 7. Use the Distributive Property to find .
a. 846 c. 534
b. 774 d. 666
____ 8. Evaluate n + 13 for n = 24.
a. 11 c. 312
b. 37 d. 24n + 13
____ 9. Evaluate 7y – 2 for y = 9.
a. 49 c. 9y – 2
b. 61 d. 77
____ 10. Evaluate for y = 6 and z = 3.
a.
c. 95
b. 61
2 d. 29
____ 11. Write the phrase as an algebraic expression.
4 times the sum of a number and 20
a. c.
b. 20 + y d. 4y – 20y
____ 12. A fence has a total of 650 planks. Violeta paints n planks each day. Write an algebraic expression for how
many days it will take Violeta to finish painting the fence.
a.
c. 650n
b.
d. 650 – n
____ 13. It takes 78 days to create a custom motorcycle. Write an algebraic expression to describe the number of days
it takes to create n custom motorcycles. How many days will it take to create 6 custom motorcycles?
a. ; 84 days c. ; 468 days
b. ; 546 days d. ; 13 days
____ 14. Identify like terms in the list: .
a. ;
b. ; ;
c. ; ;
d. ; ;
____ 15. Simplify . Justify your steps using the Commutative, Associative, and Distributive
Properties when necessary.
a. c. b. d.
____ 16. Write an expression for the perimeter of the trapezoid. Then, simplify the expression.
2a 2a
x
y a. ; c. ;
b. ; d. ;
____ 17. Jaime makes t dollars per hour installing computers. The table shows the number of hours he worked each
week in July. Write and simplify an expression for the amount of money Jaime earned in July. Evaluate the
expression for .
Hours Jaime Worked
Week Hours
1 19.0
2 19.5
3 17.5
4 23.0
a. ; ;
b. ; ;
c. ; ;
d. ; ;
7th Grade Math 1st Semester Review Ch.1
Answer Section
MULTIPLE CHOICE
1. C
2. D
3. B
4. D
5. D
6. B
7. B
8. B
9. B
10. D
11. C
12. A
13. C
14. B
15. B
16. A
17. C
7th Grade Math 1st Semester Review Ch.2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Graph the integer 4 and its opposite on a number line.
a.
0 2 4 6 8 100–2–4–6–8–10
c.
0 2 4 6 8 100–2–4–6–8–10
b.
0 2 4 6 8 100–2–4–6–8–10
d.
0 2 4 6 8 100–2–4–6–8–10
____ 2. Compare –2 _?__ 4. Write < or >.
0 1 2 3 4 5 60–1–2–3–4–5–6
a. < b. >
____ 3. Use a number line to order the integers 3, –7, 7, –9, 6, and 0 from least to greatest.
a.
0 2 4 6 8 100–2–4–6–8–10
3,
–7, 7, –9, 6, 0
c.
0 2 4 6 8 100–2–4–6–8–10
–9,
–7, 0, 3, 6, 7
b.
0 2 4 6 8 100–2–4–6–8–10
–9,
–7, 0, 3, 6, 7
d.
0 2 4 6 8 100–2–4–6–8–10
7,
6, 3, 0, –7, –9
____ 4. Find the absolute value.
|–3|
a. 3 c. 0
b. –3 d. 9
____ 5. The four best scores from an amateur golf tournament sponsored by a local golf club are given in the table.
Since the lowest score wins, which golfer won the tournament?
Player Score
Mr. Benitez 2
Mr. Hill –3
Mr. Williams –8
Mr. Hayashi 8
a. Mr. Hayashi c. Mr. Hill
b. Mr. Benitez d. Mr. Williams
____ 6. The table shows the change in four companies’ stock prices at the end of a day’s trading. Which company’s
stock lost the most?
Company Change in Price
King –5
Farley 1
Allendale 5
Tellers –3
a. Farley c. King
b. Tellers d. Allendale
____ 7. Find the sum –37 + (–25).
a. –12 c. 62
b. 12 d. –62
____ 8. Evaluate for –46 and 34.
a. –12 c. –80
b. 80 d. 12
____ 9. The income from the Spanish Club’s bake sale was $240. Expenses for the sale totaled $40. Use integer
addition to find the total profit or loss from the bake sale.
a. profit of $280 c. profit of $240
b. profit of $200 d. loss of $40
____ 10. Find the difference 10 (–25).
a. 35 c. –35
b. 15 d. –15
____ 11. Evaluate for –13 and –50.
a. 37 c. 63
b. –63 d. –37
____ 12. The highest temperature recorded in the town of Westgate this summer was °F. Last winter, the lowest
temperature recorded was –1 °F. Find the difference between these extremes.
a. –101 °F c. –99 °F
b. 101 °F d. 99 °F
____ 13. Find the product 2(–9).
a. 7 c. –7
b. 18 d. –18
____ 14. Find the product 6 • (–9).
a. 3 c. 54
b. –54 d. –3
____ 15. Find the quotient 130 2.
a. 128 c. 132
b. –65 d. 65
____ 16. Miguel spends $35 a day for 4 days. He earns $21 a day for 5 days. Does Miguel end up with more or less
money than he started with? By how much?
a. Miguel ends up with $35 more than he started with.
b. Miguel ends up with $35 less than he started with.
c. Miguel ends up with $91 more than he started with.
d. Miguel ends up with $91 less than he started with.
____ 17. Solve the equation h – (–22) = 11. Check your answer.
a. h = 11 c. h = 33
b. h = –33 d. h = –11
____ 18. Solve the equation = –9. Check your answer.
a. f = 18 c. f = –18
b. f = –7 d. f = –11
____ 19. This year, a construction company had expenses of $850 million, which was $75 million more than the
expenses from last year. How much were last year’s expenses?
a. $775 million c. $925 million
b. $850 million d. $75 million
____ 20. Write the fraction as a decimal. If necessary, round your answer to the nearest hundredth.
a. 0.55 c. 22.12
b. 1.83 d. 2.03
____ 21. Write the fraction as a decimal. If necessary, round your answer to the nearest hundredth.
a. 0.28 c. 0.5
b. 0.18 d. 0.09
____ 22. Write the decimal 0.51 as a fraction in simplest form.
a. 1
2 c. 1
51
100
b. 1
51 d. 51
100
____ 23. Write the decimal 1.71 as a mixed number in simplest form.
a. 71
100 c. 1
71
100
b. 17
10 d. 1
71
____ 24. During a review game, Mr. Pai’s class correctly answered 69 questions on the first try. If there were 72
questions in the game, at what rate were questions answered correctly on the first try? Express your answer as
a decimal. Round to the nearest hundredth.
a. 0.958 c. 0.042
b. 1.043 d. 0.096
____ 25. Write as a decimal.
a. 3.16 c. 4.16 b. 2.05 d. 3.05
____ 26. Compare the fractions . Write < or >.
a. < b. >
____ 27. Compare the decimals 0.22 __?_ 0.79. Write < or >.
a. < b. >
____ 28. Order –0.985, –0.95, 3
4 from least to greatest.
a. –0.95, –0.985, 3
4 c. 3
4, –0.95, –0.985
b. –0.985, 3
4, –0.95 d. –0.985, –0.95,
3
4
7th Grade Math 1st Semester Review Ch.2
Answer Section
MULTIPLE CHOICE
1. A
2. A
3. C
4. A
5. D
6. C
7. D
8. A
9. B
10. A
11. A
12. B
13. D
14. B
15. D
16. B
17. D
18. C
19. A
20. B
21. B
22. D
23. C
24. A
25. A
26. A
27. A
28. D
7th Grade Math 1st Semester Review Ch.3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Add. Estimate to check whether the answer is reasonable.
31.9 + 6.9
a. 38.7 c. 3.88
b. 3.87 d. 38.8
____ 2. Subtract. Estimate to check whether the answer is reasonable.
91.4 87.7
a. 3.71 c. 179.1
b. 179 d. 3.7
____ 3. Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip through
upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove 347.9 miles. How
many more miles did he drive the first day than the second day?
a. 8.55 miles c. 85.4 miles
b. 855 miles d. 85.5 miles
____ 4. Two pounds of corned beef cost $14.91, and a package of cabbage cost $3.34. What is the total cost of the
corned beef and the cabbage?
a. $18.35 c. $1.83
b. $18.25 d. $182.50
____ 5. Multiply.
–4.46 • 11
a. –49.06 c. –48.96
b. –4.906 d. –4.896
____ 6. Multiply. Estimate to check whether the answer is reasonable.
6.1 • (–15.8)
a. –96.38 c. –96.28
b. –9.628 d. –9.638
____ 7. The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in
Lakeview in 5.75 years?
a. 12.39125 inches c. 1,239.125 inches
b. 27.3 inches d. 123.9125 inches
____ 8. Divide.
48.18 (–21.9)
a. –0.22 c. 22
b. –2.2 d. 2.2
____ 9. Divide. Estimate to check whether the answer is reasonable.
76 (–3.8)
a. –2 c. –20
b. 200 d. 20
____ 10. Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new
house is 1128.85 miles. If their car gets 21.1 miles per gallon, how many gallons of gas will they need for the
trip?
a. 54.5 gallons c. 53.4 gallons
b. 5.35 gallons d. 53.5 gallons
____ 11. Kristi had $7.00 when she went to the store. When she got back, she had $2.39. How much did she spend?
a. $4.43 c. $9.39
b. $6.76 d. $4.61
____ 12. Add. Express your answer in simplest form.
a. 1
3 c. 1
6
b. 1
3 d. 2
3
____ 13. Add. Express your answer in simplest form.
a. 11
56 c. 7
15
b. 53
56 d. 53
16
____ 14. Two carpenters are building a fence. After 5 minutes, one carpenter is finished of the way and the other is
finished of the way. How much of the way ahead of the second carpenter is the first carpenter?
a. 25
14 of the way c. 25
56 of the way
b. 13
28 of the way d. 39
56 of the way
____ 15. There are two bookcases against a wall. If one takes up 5
9 of the wall and the other takes up
1
5 of the wall,
how much of the wall is covered by bookcases?
a. 17
9 of the wall c. 34
45 of the wall
b. 3
7 of the wall d. 11
15 of the wall
____ 16. Multiply. Express your answer in simplest form.
–3 • 1
4
a. 1
12 c. 12
b. 12 d. 3
4
____ 17. Multiply. Express your answer in simplest form. 7
9 •
1
2
a. 7
18 c. 7
3
b. 14
9 d. 7
54
____ 18. Multiply. Express your answer in simplest form.
32
7 •
5
8
a. 56
115 c. 5
9
35
b. 23
56 d. 35
184
____ 19. In 2001, bus fare on the Metropolitan Bus Line was $4.00. In 1975, the fare was 1
2 the fare in 2001. What
was the fare in 1975?
a. $1.46 c. $8.00
b. $2.00 d. $7.42
____ 20. A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3
4 its current price.
How much will it cost in 8 months?
a. $72.14 c. $128.00
b. $72.00 d. $127.34
____ 21. Marcus hikes at a rate of 2 miles per hour. If he hikes for 6 hours, how many miles will he hike?
a. 12 miles c. 122
3 miles
b. 14 miles d. 8 miles
____ 22. Divide. Express your answer in simplest form. 3
10 ÷
13
14
a. 21
65 c. 140
39
b. 65
21 d. 39
140
____ 23. Divide. Express your answer in simplest form.
17
11 ÷ 2
1
2
a. 36
55 c. 4
1
11
b. 119
36 d. 11
45
____ 24. How many 3
8-foot pieces of wood can you cut from a board that is 1
7
8 feet long?
a. 45
64 pieces of wood c. 1
5 pieces of wood
b. 3 pieces of wood d. 5 pieces of wood
____ 25. In a fish tank, 1
2 of the fish have a red stripe on them. If 10 of the fish have red stripes, how many total fish
are in the tank?
a. 25 fish c. 24 fish
b. 22 fish d. 20 fish
____ 26. On one day, the temperature at dawn in Chattanooga, Tennessee is 211
4 °C. During the day, it warms up 6
2
7
°C. What is the new temperature?
a. 118
11 °C c. 14
27
28 °C
b. 271
2 °C d. 27
15
28 °C
7th Grade Math 1st Semester Review Ch.3
Answer Section
MULTIPLE CHOICE
1. D
2. D
3. D
4. B
5. A
6. A
7. D
8. B
9. C
10. D
11. D
12. D
13. B
14. C
15. C
16. D
17. A
18. B
19. B
20. B
21. C
22. A
23. A
24. D
25. D
26. D
7th Graede Math 1st Semester Review Ch.4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. You can get 640 calories from eating 8 apples. How many calories can you get from eating 1 apple?
a. 80 calories per apple c. 82 calories per apple
b. 83 calories per apple d. 81 calories per apple
____ 2. Ignacio is going on vacation. He needs to drive 579 miles in 8 hours. What is his average speed in miles per
hour?
a. 63 miles per hour c. 67 miles per hour
b. 65 miles per hour d. 69 miles per hour
____ 3. Tony and Tiffany collect semi-precious stones. At the Rockhound Hut, Tiffany paid $38 for 9 pounds of
snowflake obsidian. At The Solid Rock Shop, Tony paid $19 for 3 pounds of the same type of stone. Who
made the better buy?
a. Tony b. Tiffany
____ 4. Tina and Noly wanted to see whose car gets better gas mileage, so they each drove 210 miles and recorded
how much gas they used. Use the bar graph to find how many miles per gallon each person’s car gets. Round
your answers to the nearest tenth.
Am
ou
nt
of
Gas
Use
d (
ga
l)
Tina's car Noly's car
12
20
3
6
9
12
15
18
21
a. Tina’s car: 17.5 mi/gal. Noly’s car: 10.5 mi/gal.
b. Tina’s car: 19.5 mi/gal. Noly’s car: 12.5 mi/gal.
c. Tina’s car: 175 mi/gal. Noly’s car: 105 mi/gal.
d. Tina’s car: 12.5 mi/gal. Noly’s car: 19.5 mi/gal.
____ 5. Determine whether the ratios are proportional.
a. not proportional b. proportional
____ 6. Determine whether the ratios and are proportional.
a. proportional b. not proportional
____ 7. Determine whether the ratios are proportional.
a. proportional b. not proportional
____ 8. Marie rode her bike 325 kilometers in 20 hours last month. Tamara rode her bike 255 kilometers in 15 hours
last month. Are these speed rates proportional? Explain.
a. No; Marie’s rate is 16.25 km/h and Tamara’s rate is 17 km/h.
b. Yes; to find both speed rates, you need to divide the distance by the time.
c. No; Marie’s distance and time are greater than Tamara’s distance and time.
d. Yes; Marie’s and Tamara’s rates are almost the same.
____ 9. Solve the proportion .
a. r = 528 c. r = 10
b. r = 4.09 d. r = 8.8
____ 10. The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6
children who attend. How many juice boxes will they need if they are expecting 12 children?
a. 22 juice boxes c. 44 juice boxes
b. 264 juice boxes d. 132 juice boxes
____ 11. Tell whether and similar. The measures of the corresponding angles are equal.
A
BC
15
12
20
X
YZ
5
4
7
a. similar b. not similar
____ 12. Tell whether parallelogram ABCD and parallelogram WXYZ are similar. The measures of the corresponding
angles are equal, and the opposite sides are equal.
12
8
A B
CD
9
6
W X
YZ
a. not similar b. similar
____ 13. Tell whether trapezoid ABCD and trapezoid WXYZ are similar. The measures of the corresponding angles are
equal.
18
14
22
14
A B
CD
9
7
11
7
W X
YZ
a. not similar b. similar
____ 14. Tell whether the rectangles are similar. If so, write the similarity ratio and a similarity statement. The
measures of the corresponding angles are equal, and the opposite sides are equal.
6
9M N
OP
10
15R S
TU
a. similarity ratio:
rectangle MNOP ~ rectangle RSTU
b. The rectangles are not similar.
c. similarity ratio:
rectangle MNOP ~ rectangle RSTU
d. similarity ratio:
rectangle MNOP ~ rectangle RSTU
____ 15. . Find XY.
A
BC
16.517
X
YZ
8.5 ?
a. s = 8 c. s = 8.25
b. s = 33 d. s = 8.76
____ 16. The front of Jane’s house is similar in shape to the front of Spot’s doghouse. The base of the doghouse is 5
feet and the height is 6 feet. If the height of Jane’s house is 30 feet, what is the length of its base? If necessary,
round your answer to the nearest tenth.
Jane30
base = x
Spot
5
6
a. 30 ft c. 36 ft
b. 25 ft d. 29 ft
____ 17. Juan sees a maple tree and a pine tree in the forest. He knows that the pine tree is 20.68 feet tall. On a sunny
day, the shadow of the pine is 4.2 feet long while the maple’s shadow is 20.02 feet long. Estimate the height
of the maple tree.
a. about 63 feet c. about 100 feet
b. about 97 feet d. about 80 feet
____ 18. A model airplane is built to a scale of 1 in.:12 ft. If the model plane is 11 inches long, find the length of the
actual plane. Round your answer to the nearest foot.
a. 1584 feet c. 13 feet
b. 132 feet d. 11 feet
____ 19. Identify the scale factor if the length of a model train engine is 36 inches and the length of the engine itself is
24 feet.
a. 3 c. 288 to 1
b. 3
2 d. 1
8
____ 20. In an investigation, Detective Tracy discovered a photograph that showed his number one suspect at the scene
of the crime. To get a better look, he enlarged the picture by a scale factor of . If the original photo
measured 4 inches by 6 inches, what were the dimensions of the enlargement?
a. 40 inches by 60 inches c. 14 inches by 16 inches
b. 20 inches by 60 inches d. 40 inches by 30 inches
____ 21. Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On
the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale
is 1 in. = 50 mi?
a. 162
3 miles c. 225 miles
b. 175 miles d. 3
50 mile
7th Graede Math 1st Semester Review Ch.4
Answer Section
MULTIPLE CHOICE
1. A
2. B
3. B
4. A
5. A
6. A
7. B
8. A
9. D
10. C
11. B
12. B
13. B
14. A
15. C
16. B
17. D
18. B
19. D
20. A
21. B
7th Grade Math 1st Semester Review Ch.5
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Identify the quadrant that contains the point (3, 6).
10–10 x
10
–10
y
a. Quadrant III c. Quadrant II
b. Quadrant IV d. Quadrant I
____ 2. Identify the quadrant that contains the point (9, 0).
10–10 x
10
–10
y
a. between Quadrants II and III c. between Quadrants I and II
b. between Quadrants I and IV d. between Quadrants III and IV
____ 3. Plot the point (–6, 0) on a coordinate plane.
a.
5–5–10 x
5
10
–5
–10
y
c.
5–5–10 x
5
10
–5
–10
y
b.
5–5–10 x
5
10
–5
–10
y
d.
5–5–10 x
5
10
–5
–10
y
____ 4. Give the coordinates of the point.
5 10–5–10 x
5
10
–5
–10
y
a. (4, –4) c. (–4, 4)
b. (–4, –4) d. (4, 4)
____ 5. The coordinates of three vertices of a rectangle are , , and . Find the coordinates of
the fourth vertex D.
a. c.
b. d.
____ 6. Kathy rented a bicycle. In the first half hour, she rode the bike for 2 miles. Then, she stopped and rested for a
half hour. In the next two hours, she increased her speed and rode as fast as she can to race with another
bicyclist for 12 miles. She stopped by a water fountain to get a drink of water and rested for another half hour.
Finally, she rode the bike back to the rental site to return the bike in the last hours. Sketch a graph to
show the distance that Kathy rode the bike compared to time. Use the graph to find the total distance traveled.
a.
Time (h)
Dis
tan
ce f
rom
Ren
tal S
ite
(mi)
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
2
4
6
8
10
12
14
16
Kathy traveled a total of 14 miles.
c.
Time (h)
Dis
tan
ce f
rom
Ren
tal S
ite
(mi)
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
2
4
6
8
10
12
14
16
Kathy traveled a total of 14 miles.
b.
Time (h)
Dis
tan
ce f
rom
Ren
tal S
ite
(mi)
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
2
4
6
8
10
12
14
16
Kathy traveled a total of 14 miles.
d.
Time (h)
Dis
tan
ce f
rom
Ren
tal S
ite
(mi)
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
2
4
6
8
10
12
14
16
Kathy traveled a total of 12 miles.
____ 7. Tell whether the slope is positive or negative. Then, find the slope.
(2, 4) (5, 2)
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
a. positive; 2
3 c. negative;
2
3
b. positive; 2
5 d. negative;
3
2
____ 8. Use the slope of 2 and the point (–6, –3) to graph the line.
a.
3 6 9 12 15–3–6–9–12–15 x
3
6
9
12
15
–3
–6
–9
–12
–15
y
c.
3 6 9 12 15–3–6–9–12–15 x
3
6
9
12
15
–3
–6
–9
–12
–15
y
b.
3 6 9 12 15–3–6–9–12–15 x
3
6
9
12
15
–3
–6
–9
–12
–15
y
d.
3 6 9 12 15–3–6–9–12–15 x
3
6
9
12
15
–3
–6
–9
–12
–15
y
____ 9. Tell whether the graph shows a constant or variable rate of change.
4 8–4–8 x
4
8
–4
–8
y
a. variable rate of change b. constant rate of change
7th Grade Math 1st Semester Review Ch.5
Answer Section
MULTIPLE CHOICE
1. D
2. B
3. C
4. A
5. B
6. B
7. C
8. A
9. B