Free Printable Math 7 ACAP Review

1.

Compare these Integers using the symbols:
< > =
-56 ____ -47

a)

<

b)

>

c)

=

d)

⊕

2.

Compare these Integers using the symbols:
< > =
-5 ____ -7

a)

<

b)

>

c)

=

3.

Order the following

least to greatest

a)

-15

b)

-11

c)

-7

d)

-4

1)

2)

3)

4)

4.

What will you do to solve this equation?

X + 6 = 3

a)

subtract 6 from both sides

b)

add 6 to both sides

c)

subtract 3 from both sides

d)

add 3 to both sides

5.

3x+1=7

a)

2

b)

$\frac{8}{3}$

c)

3

d)

8

6.

$5=4x-15$

The first step to solve this problem is to (a) .The second step is to (b) . The answer is (c) .

Choose from the below words

add 15

divide by 4

x=5

subtract 15

divide 15

subtract 5

subtract 4

multiply 4

x=20

x=4

7.

Solve for x

9x + 1 = 10

a)

1

b)

10

c)

12

d)

11

8.

Solve for x:

6x - 5 = 7

a)

2

b)

3

c)

6

d)

12

9.

Sovle for x:

5x = 40

a)

8

b)

10

c)

45

d)

35

10.

Level 1

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

11.

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

12.

Level 2

23 < f + 12

a)

f > 11

b)

f > 35

c)

f < 35

d)

f < 11

13.

Solve

a)

x < -96

b)

x < 20

c)

x = 6

d)

x > 96

14.

Does the table show a proportional relationship?

a)

Yes

b)

No

15.

What is the constant of proportionality for this table?

a)

1/9

b)

9

c)

8

16.

Is the given table a proportional relationship? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

17.

Tell whether the expression is positive or negative without evaluating.

a)

Positive

b)

Negative

18.

Tell whether the expression is positive or negative without evaluating.

a)

Positive

b)

Negative

19.

$-\frac{6}{5}\ \div\ \left(-\frac{1}{2}\right)$ Simplify. Leave answer as an improper fraction. Use "/" for a fraction bar.

(a)

20.

Which of these products is positive? Select all that apply.

a)

$-0.2\ \times\ \left(12.5\right)$

b)

$-\frac{1}{12}\ \times\ \left(-6\frac{1}{2}\right)$

c)

$3.2\ \times\ \left(-\frac{1}{900}\right)$

d)

$-3\frac{1}{2}\ \times\ 0$

e)

$-4.7\ \times\ \left(-1\right)$

21.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

22.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

23.

Solve the complex fraction.

a)

49/30

b)

2/3

c)

30/49

d)

6/5

24.

What number would make this a true statement?

a)

1

b)

3

c)

9

d)

8

25.

\frac{4}{5}=\frac{8}{x}

a)

x = 8

b)

x = 10

c)

x = 4

d)

x = 5

26.

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480

b)

1960

c)

84

d)

25

27.

What is k in this proportional relationship?

a)

60

b)

120

c)

1

d)

180

28.

What is the equation for the following proportional table?

a)

x = 12y

b)

y = 1/12 x

c)

y = 12x

d)

x = 1/12 y

29.

Dinner at the Olive Garden cost $52.37. You leave a 20% tip. What is the total cost?

a)

$72.37

b)

$10.47

c)

$62.84

d)

$41.90

30.

A baseball bat cost $28. There is a 25% discount. What is the total cost?

a)

$3.00

b)

$7.00

c)

$21.00

d)

$35.00

31.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

32.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

33.

Find the MAD:
58, 38, 54, 48, 26, 36

a)

43

b)

20

c)

10

d)

12

34.

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

a)

3

b)

5

c)

1

d)

2

35.

How many students sent between 10 and 19 text?

a)

25

b)

22

c)

15

d)

45

36.

What is the theoretical probability that an even number will be rolled on a number cube?

a)

1/3

b)

1/2

c)

2/3

d)

1/6

37.

What was the experimental probability of how many times an even number was actually rolled using the table?

a)

2/3

b)

5/7

c)

5/12

d)

1/2

38.

If a car factory checks 360 cars and 8 of them have defects, how many out of 1260 will have defects?

a)

28

b)

45

c)

360

d)

2880

39.

Ben is getting customers at a music store. Of the first 20 people he sees enter the store, 13 are wearing jackets and 7 are not. What is the experimental probability that the next person to enter the store will be wearing a jacket?

a)

$\frac{13}{40}=0.325=32.5\%$

b)

$\frac{7}{20}=0.35=35\%$

c)

$\frac{13}{20}=0.65=65\%$

d)

$\frac{7}{40}=0.175=17.5\%$

40.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

41.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

$\frac{3}{7}\times\frac{3}{7}$

b)

$\frac{4}{7}\times\frac{4}{7}$

c)

$\frac{4}{7}\times\frac{3}{6}$

d)

$\frac{4}{7}\times\frac{3}{7}$

42.

What is the probability that you will get mushrooms on your pizza?

a)

2_/10

b)

2

c)

2_/5

43.

What is the probability of picking a green marble, keeping it, then picking another green marble?

a)

$\frac{3}{7}\times\frac{3}{7}$

b)

$\frac{3}{7}\times\frac{2}{6}$

c)

$\frac{3}{7}\times\frac{3}{6}$

d)

$\frac{3}{7}\times\frac{7}{3}$

44.

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

a)

9/49

b)

4/125

c)

1/10

d)

1/30

45.

Which triangle is similar to the above triangle ?

a)

A

b)

B

c)

C

d)

D

46.

What is the scale factor from the large triangle to the small triangle?

a)

1/2

b)

2/3

c)

3/4

d)

2

47.

What is the value of "a"?

a)

45

b)

55

c)

35

d)

65

48.

Find the missing angle.

a)

28

b)

32

c)

60

d)

38

49.

Solve for x

a)

5

b)

90

c)

25

d)

10

50.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

51.

The radius is 8 inches. What is the circumference?

a)

50.24 inches

b)

25.12 inches

c)

12.56 inches

d)

200.96 inches

52.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

53.

The stained glass window is a semicircle. What is the distance around the window?

a)

40.82 inches

b)

66.82 inches

c)

81.64 inches

d)

107.64 inches

54.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

55.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

56.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

57.

Select the best estimate of the area of the figure?

a)

$150\ in^2$

b)

$14\ in^2$

c)

$36\ in^2$

d)

$50\ in^2$

58.

What is the area of the figure?

a)

$275\ cm^2$

b)

$75\ cm^2$

c)

$125\ cm^2$

d)

$200\ cm^2$

Math 7 ACAP Review

Total questions: 58

Worksheet time: 3hrs 29mins

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