Free Printable Grade 7 SBA Review

1.

Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

2.

Figure B is a scaled copy of Figure A. Select all of the statements that MUST be true:

a)

Figure B is larger than Figure A.

b)

Figure B has the same number of edges as Figure A.

c)

Figure B has the same perimeter as Figure A.

d)

Figure B has the same number of angles as Figure A.

e)

Figure B has angles with the same measures as Figure A.

3.

Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD. Point P corresponds to A, Q to B, R to C, and S to D. If the distance from P to R is 3 units, what is the distance from Q to S?

a)

3

b)

5

c)

6

d)

1

4.

Triangle S and Triangle L are scaled copies of one another. What is the scale factor from L to S?

a)

$\frac{3}{10}$

b)

$2$

c)

$1.5$

d)

$\frac{4}{8}$

5.

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?

a)

158

b)

186

c)

180

d)

165

6.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

7.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

8.

How many degrees make up a triangle?

a)

45

b)

90

c)

60

d)

180

9.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

10.

Angles that add up to 90 degrees are called

a)

Supplementary Angles

b)

Complementary Angles

c)

Adjacent Angles

d)

Opposite Angles

11.

Based on the data in the table, what is the probability that a andom customer will NOT rent a drama?

a)

1/4, because the probability of renting a drama is 3/4

b)

3/4, because the probability of renting a drama is 1/4

c)

4/5, because the probability of renting a drama is 1/5

d)

1/5, because the probability of renting a drama is 4/5

12.

A coin bag contains 10 dimes, 5 nickels, and 1 penny. Two coins will be selected from the bag one at a time without replacement. What is the probability that a dime will be selected first and then a penny?

a)

83/120

b)

11/16

c)

5/128

d)

1/24

13.

Axl and his family drove 6 hours every day during a road trip. Which graph best represents y, the total number of hours driven in x days?

a)

b)

c)

d)

14.

The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

a)

6.57

b)

3

c)

2.19

d)

Not here

15.

Amanda increased the amount of protein she eats from 48 g to 54 g. By what percentage did Amanda increase the amount of protein?

a)

11.1%

b)

88.9%

c)

112.5%

d)

12.5%

16.

Which equation represents the relationships between the x-values and the y-values in the table?

a)

y = 2x + 12

b)

y = 4x + 6

c)

y = 2x + 4

d)

y = 6x + 4

17.

Which number line represents the solution to the inequality -7x - 13 > 8

a)

b)

c)

d)

18.

Which equation is true when the value of x is -12?

a)

1/2x + 22 = 20

b)

15 - 1/2x = 21

c)

11 - 2x = 17

d)

3x - 19 = -17

19.

In the scale used on a blueprint ¼ inch represents 2 feet. What is the length of a room with an actual length of 20 feet?

a)

10 in.

b)

5 in.

c)

^{½ in.}

d)

2 ½ in.

20.

Fabi wants to buy a pair of shoes for $26.50 and a shirt for $9.50. If the sales tax rate is 8.25%, what will be the amount of sales tax on her purchase?

a)

$2.89

b)

$2.97

c)

$3.06

d)

$3.13

21.

Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Fazio selects a striped jersey both times?

a)

1/100

b)

1/16

c)

1/25

d)

1/81

22.

Area of a square with side 5cm =

a)

25cm

b)

10cm

c)

25sqcm

d)

10sqcm

23.

The diameter of a circle, with radius 6 cm=

a)

3cm

b)

12cm

c)

6cm

d)

15cm

24.

Classify the angles. There could be more than one answer.

a)

complementary

b)

adjacent

c)

vertical

d)

supplementary

25.

Solve for x. $-4x+7=15$

a)

$x=-32$

b)

$x=2$

c)

$x=5.5$

d)

$x=-2$

26.

Solve $5.5-\ -7.5$

a)

13

b)

2

c)

-2

d)

-13

27.

Solve. $\frac{1}{5}\div\frac{3}{4}$

a)

$\frac{3}{4}$

b)

$\frac{15}{20}$

c)

$\frac{3}{20}$

d)

$\frac{4}{15}$

28.

Tim is bringing donuts to work as a treat for his co-workers. He buys 12 donuts for $9.96. How much does each donut cost?

a)

$8.30

b)

$0.83

c)

$0.13

d)

$119.52

29.

What is $\left|43.65\right|$ ?

a)

$43.65$

b)

$-43.65$

c)

$-\left|-43.65\right|$

30.

What is the circle's area?

a)

$8\pi$

b)

$16\pi$

c)

$256\pi$

d)

$64\pi$

31.

Solve. $-8\cdot-4$

a)

-32

b)

32

c)

4

d)

-4

32.

What is the mean?

a)

6

b)

5

c)

7

d)

8

33.

What is the median in the box plot?

a)

79

b)

66

c)

90

d)

60

34.

The measure of an angle is $34\degree$ . What is the measure of its supplementry angle?

a)

180

b)

124

c)

56

d)

146

35.

Solve. $\frac{5}{12}+\frac{2}{3}$

a)

$\frac{7}{15}$

b)

$\frac{13}{12}$

c)

$\frac{8}{14}$

36.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

37.

-32/8

a)

-4

b)

-5

c)

4

d)

24

38.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

39.

Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?

a)

40.50

b)

715.50

c)

6.00

d)

634.50

40.

What is 82% As a decimal?

a)

8200

b)

820

c)

0.082

d)

0.82

41.

What percent is 40 of 200?

a)

10

b)

30

c)

20

d)

40

42.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

43.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

44.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

45.

-32/8

a)

-4

b)

-5

c)

4

d)

24

46.

−x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

47.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

48.

How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?

a)

$6.28

b)

$33.59

c)

$21.03

49.

Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?

a)

40.50

b)

715.50

c)

6.00

d)

634.50

50.

What is 82% As a decimal?

a)

8200

b)

820

c)

0.082

d)

0.82

51.

What percent is 40 of 200?

a)

10

b)

30

c)

20

d)

40

52.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

53.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

54.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

55.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

C = 2π15

c)

c = 15 ÷ π

d)

c = 15 π

56.

Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

57.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

58.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

59.

Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

60.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

61.

Order the following from least to greatest:
-61, -21, -40, -85

a)

-21, -40, -61, -85

b)

-85, -61, -40, -21

c)

-85, -61, -21, -40

d)

-21, -40, -85, -61

62.

Solve for y:
$2+y=11$

a)

y = 13

b)

y = 22

c)

y = 9

d)

y = 5.5

63.

Evaluate the following expression:
$9+6^2-2\cdot8$

a)

29

b)

2,900

c)

281

d)

209

64.

Evaluate the expression $\frac{15}{k}$ when $k=3$ .

a)

12

b)

45

c)

5

d)

18

65.

$-7\cdot6=$ ?

a)

49

b)

-49

c)

42

d)

-42

66.

What is the area of the following circle? (Remember: $A=\pi r^2$ )

a)

615.44 $units^2$

b)

43.96 $units^2$

c)

153.86 $units^2$

d)

87.92 $units^2$

67.

Solve for d. $41=12d-7$

a)

d = 576

b)

d = 408

c)

d = 2.83

d)

d = 4

68.

A furniture store bought a book shelf at a wholesale price of $147.00, and the store marks up all furniture by 60%. At what price will the store sell the book shelf?

a)

$147.00

b)

$235.20

c)

$58.80

d)

$207.00

69.

$\frac{5}{3}\cdot\left(-\frac{6}{7}\right)=$ ?

a)

$\frac{11}{10}$

b)

$\frac{10}{7}$

c)

$-\frac{10}{7}$

d)

$-\frac{11}{10}$

70.

Finley's pumpkin has a mass of 6.5 kilograms before he carved it. After carving it, the pumpkin had a mass of 3.9 kilograms. What was the percent decrease in the mass of the pumpkin?

a)

166%

b)

66%

c)

40%

d)

140%

71.

A scale on a map shows that 2.5 centimeters represents 15 kilometers. What number of actual kilometers are represented by 17.5 centimeters on the map?

a)

105 kilometers

b)

37.5 kilometers

c)

43.75 kilometers

d)

262.5 kilometers

72.

The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many does the regular bottle of sunscreen hold?

a)

9 fluid ounces

b)

21 fluid ounces

c)

3 fluid ounces

d)

15 fluid ounces

73.

$-7-\left(-7\right)=$ ?

a)

-14

b)

14

c)

0

d)

-7

74.

$-\frac{1}{2}-\frac{2}{5}=$ ?

a)

$\frac{9}{10}$

b)

$-\frac{9}{10}$

c)

$\frac{1}{10}$

d)

$-\frac{1}{10}$

75.

Which table has a constant of proportionality between y and x of 2?

a)

b)

c)

76.

A circle has a circumference of 153.86 units. What is the radius of the circle? (Remember: $C=2\pi r$ )

a)

307.72 units

b)

49 units

c)

76.93 units

d)

24.5 units

77.

Figure A is a scale image of Figure B. What is the value of x?

a)

56

b)

60

c)

64

d)

72

78.

The scale on a map is: 2 cm = 5 mi

If the distance from Anthony's house to

school is 16 miles, how long is the

distance on the map?

a)

4.5 cm

b)

6.4 cm

c)

40 cm

d)

9.3 cm

79.

12 is what percent of 80?

a)

5%

b)

10%

c)

15%

d)

20%

80.

What is the area of a circle, if the radius is 6 cm? Use: A=πr²

a)

6π cm²

b)

12π cm²

c)

36π cm²

d)

64π cm²

81.

What is 35% of 60?

a)

21

b)

25

c)

20

d)

15

82.

Solve the following equation for x:

6 = 2x + 14

a)

10

b)

-10

c)

4

d)

-4

83.

5 pounds of apples cost $6.45. You only need 1 pound for a recipe. How much will it cost for one pound of apples?

a)

$0.45

b)

$1.29

c)

$0.50

d)

$0.95

84.

If Ben has 5 different color pairs of pants, 8 different color shirts and 4 different color belts, how many different combinations are possible?

a)

96

b)

100

c)

125

d)

160

85.

Find the perimeter of the following rectangle:

a)

3x² - 5x +1

b)

x² - 7x - 1

c)

6x² -7x + 7

d)

None of the above

Grade 7 SBA Review

Total questions: 85

Worksheet time: 2hrs 24mins

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