Free Printable ACT Math Review Practice Test

1.

What is the sum of the solutions of the 2 equations below?

$8x=12$

$2y+10=22$

a)

$2\frac{2}{5}$

b)

$7\frac{1}{2}$

c)

9

d)

10

e)

$17\frac{1}{2}$

2.

The price of a grill dropped from $48.00 to $38.40. What was the percent decrease in price?

a)

9.6%

b)

12%

c)

15%

d)

18%

e)

20%

3.

Betsy owns a pair of cows that drink water proportional to their weight. One of her cows weighs 600 pounds and drinks 200 cups of water a day. If the other cow drinks 225 cups of water a day, how much does it weigh?

a)

75 pounds

b)

200 pounds

c)

520 pounds

d)

585 pounds

e)

675 pounds

4.

In the figure above, what is the area of $\Delta ABC$ ?

a)

24

b)

48

c)

70

d)

96

e)

140

5.

On Monday morning, Sarah sold 14 boxes of girl-scout cookies before lunch. If the cookies are $3.25 a box and Sarah needs to sell at least $80 worth for the day, how many more boxes must Sarah sell after lunch in order to meet her goal?

a)

11

b)

14

c)

17

d)

21

e)

25

6.

Foggy the Frog is trying to climb out of a well. He climbs 6 inches the first day, 9 inches the second day, and 7 inches the third day. Unfortunately, it rained on the fourth day and Foggy slid down 6 inches. How many inches did Foggy average on each of the 4 days?

a)

1

b)

3

c)

4

d)

7

e)

8

7.

The area of circle Q is $16\pi$ . If $\overline{FC}$ is a diameter of circle Q and F corresponds to point (4, 7) on the standard (x, y) coordinate plane, which one of the following coordinates could be point C?

a)

(0, 7)

b)

(4, -1)

c)

(4, 3)

d)

(8, 7)

e)

(12, 15)

8.

If $a^2-1=\left(a-1\right)^2,$ what is the value of $a$ ?

a)

-1

b)

0

c)

1

d)

2

e)

3

9.

The cost of a taxi ride in a certain city is $1.25 for the first half-mile and $0.25 for each additional $\frac{1}{8}$ of a mile. If a taxi ride costs $7.75, which of the following could be the length of the ride in miles?

a)

$3\frac{3}{8}$

b)

$3\frac{1}{2}$

c)

$3\frac{3}{4}$

d)

$3\frac{7}{8}$

e)

4

10.

If $\left|b-3\right|=6,$ what are the two possible values of b?

a)

-9 and 3

b)

-9 and 9

c)

-6 and 6

d)

-3 and 3

e)

-3 and 9

11.

According to the measurements given in the figure below, which of the following expressions gives the distance, in miles, from the boat to the dock?

a)

$30\tan\left(52\right)$

b)

$30\cos\left(52\right)$

c)

$30\sin\left(52\right)$

d)

$\frac{30}{\cos\left(52\right)}$

e)

$\frac{30}{\sin\left(52\right)}$

12.

a)

-28

b)

-7

c)

\frac{12}{5}

d)

6

e)

60

13.

The sum of $9a$ and the square root of $2b$ is equal to the square of the sum of $3a$ and $3b.$ Which of the following is an expression for the statement above?

a)

$9a\ +\left(2b\right)^2=\sqrt{3a+3b}$

b)

$9a+\sqrt{2b}=\left(3a+3b\right)^2$

c)

$\left(9a+2b\right)^2=\sqrt{3a+3b}$

d)

$\sqrt{9a+2b}=3a^2+3b^2$

e)

$\sqrt{9a}+\sqrt{2b}=\left(3a+3b\right)^2$

14.

If

x=\frac{1}{2},

what is the value of

\frac{2}{x}+\frac{2}{\left(x-1\right)}?

a)

-2

b)

-1

c)

0

d)

1

e)

2

15.

If 20 percent of J is 1,500, what is 15 percent of J?

a)

1,125

b)

3,000

c)

5,125

d)

6,000

e)

7,500

16.

$\left(-3x^5y^4\right)^4=$

a)

$-3x^9y^8$

b)

$-3x^{20}y^{16}$

c)

$-81x^{20}y^{16}$

d)

$81x^9y^8$

e)

$81x^{20}y^{16}$

17.

A stationary store ordered a shipment of 800 erasers ad sold 360 of them. What percent of the shipment did it sell?

a)

3.6%

b)

4.5%

c)

18%

d)

36%

e)

45%

18.

In the figure above, what is the value of $a+b?$

a)

90

b)

120

c)

150

d)

180

e)

240

19.

The total cost of 5 books is $70. If the average (arithmetic mean) cost of 2 the books is $15, what is the total cost of the remaining 3 books?

a)

$40

b)

$45

c)

$50

d)

$55

e)

$60

20.

In the triangle above, the sides have been extended as shown. What is the value of r?

a)

34

b)

42

c)

74

d)

84

e)

96

21.

If two points on a certain line u a coordinate plane have coordinates (2,6) and (4,9), what is the slope of the line?

a)

$\frac{3}{4}$

b)

$\frac{5}{4}$

c)

$\frac{3}{2}$

d)

2

e)

3

22.

If $x^2+4x-12=0,$ which of the following is a possible value for x?

a)

-6

b)

-4

c)

-2

d)

4

e)

6

23.

In a crate of 56 oranges and apples, the ratio of the number of oranges to the number of apples is 4:3. After $n$ apples and $n$ oranges are removed, the ratio of the number of oranges to the number of apples is 3:2. What is the value of $n$ ?

a)

2

b)

5

c)

7

d)

8

e)

12

24.

When Mr. Schafer arrived at the grocery store, there were 8 cases of soda left on the shelf. One case contained 11 cans of soda, and each of the others contained 6. If Mr. Schafer bought all 8 cases, how many cans of soda did he purchase at this store?

a)

53

b)

54

c)

57

d)

59

e)

65

25.

What is AB?

a)

b)

c)

d)

AB is undefined.

ACT Math Review Practice Test

Total questions: 25

Worksheet time: 6hrs 15mins

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