Math Practice Tests For The ACT

Vibrant Publishers

• Publisher: Vibrant Publishers
• Year: 2020
• eBook ISBN: 9781949395877
• Edition: 1
• Topic: Study Aids
• Subtopic: ACT Study Guides

MATHEMATICS TEST

60 Minutes—60 Questions

DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document.

Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left for this test.

You are permitted to use a calculator on this test. You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.

Note: Unless otherwise stated, all of the following should be assumed.

1. Illustrative figures are NOT necessarily drawn to scale.

2. Geometric figures lie in a plane.

3. The word line indicates a straight line.

4. The word average indicates arithmetic mean.

MATHEMATICS TEST

60 Minutes—60 Questions

DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document.

Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left for this test.

You are permitted to use a calculator on this test. You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.

Note: Unless otherwise stated, all of the following should be assumed.

1. Illustrative figures are NOT necessarily drawn to scale.

2. Geometric figures lie in a plane.

3. The word line indicates a straight line.

4. The word average indicates arithmetic mean.

1. An air conditioner repair man charges a $55 fee for a service call plus $27.50 per hour to repair an air conditioning unit. If you paid the air conditioner repair man $327.50 to repair your air conditioner, about how many hours did the repair man work on the unit?

A. 8

B. 20

C. 5

D. 12

E. 10

2. If $f(x)={(4-x)}^2+5$. Then f(–2) =?

F. 9

G. 41

H. 61

I. 14

J. 17

3. Below is the graph of a function in the form $y=a{x}^2+c$ where a and c are constants. Which of the following must be true for a and c?

A. a > 0 and c < 0

B. a < 0 and c > 0

C. a > 0 and c > 0

D. a < 0 and c < 0

E. a > 0 and c = 0

4. Jeni’s beginning hourly wage at her new job is $12.50. After 6 months, she will receive an increase in her hourly wage of 3%. Approximately how many hours did she work if she made $1850 for the 7^th month of work?

F. 144

G. 148

H. 152

I. 160

J. 100

5. Let $p=q{r}^2-q$. If p = 120 and q = 8, r > 0, then r =?

A. 8

B. 16

C. 4

D. 20

E. 128

6. The cost of a seedless watermelon is directly proportional to its weight. If a 25-pound watermelon costs $0.38 per pound, what is the approximate cost for a 32-pound watermelon?

F. $0.45

G. $0.37

H. $0.49

I. $0.95

J. $0.30

7. Which of the following statements is true about the graph of the function y = f(x) shown below?

A. Its graph has symmetry about the x-axis.

B. The domain is for the function is $-4\le y\le 4$.

C. The graph has y-axis symmetry.

D. The function has more positive real zeros than negative real zeros

E. The graph has symmetry about the origin.

8. Find two consecutive integers if the sum of four times the smaller integer and three less than the larger integer is 523.

F. 261 and 262

G. 53 and 54

H. 100 and 101

I. 105 and 106

J. 85 and 86.

9. Which expression is equivalent to $(4x^3+3xy-5)-x\left(2x^2-7y+6\right)$?

A. $2x^3-10xy-11$

B. $2x^3+10xy-11x$

C. $2x^3-10xy+6x-5$

D. $2x^3-4xy-6x-5$

E. $2x^3+10xy-6x-5$

10. The table below shows how many gallons of water are poured into a 10,000-gallon pool at various times in order to fill it. There are initially 4500 gallons of water in the pool. Which equation could be used to find the time, t, in hours, it takes to fill the pool?

Time in hours, t	2	5	13	22
Gallons of water	7	17.5	45.5	77

F. 4500 = 10,000 + 3.5t

G. 4500 = 10,000 – 3.5t

H. 10,000 = 4500 + 3.5t²

I. 10,000 = 4500 – 3.5t

J. 10,000 = 4500 + 3.5t

11. Let a, b, and c are constants where a > 0. If $x=a^{3b}\text{and}y=a^{b-c}$, then $\frac{x}{y}$ =?

A. $a^{2b-c}$

B. $a^{2b+c}$

C. $a^{4b-c}$

D. $\frac{1}{a^{2b+c}}$

E. $\frac{1}{a^{2b-c}}$

12. For a set of 7 numbers, the mean is 45. The median of the set is 42 and the mode is 51. What is the sum of the other four numbers in the set?

F. 150

G. 171

H. 14

I. 228

J. 342

13. In diagram shown below, points A, C, and E are colinear. $\Delta ABC$ has an exterior angle measuring ${142}^{\circ }$. What is the measure of angle C in degrees?

A. 38

B. 57

C. 42

D. 85

E. 40

14. A rectangular garden is 15 yards long and 8 yards wide. The garden is fertilized with a blended bottle of fish emulsion that covers 360 square feet. If the garden needs to be fertilized 3 times during the spring growing season, how many bottles of fish emulsion will be needed?

F. 10

G. 12

H. 9

I. 3

J. 15

2323__perlego__chapter_div...

Table of contents

• Cover
• Copyright Page
• QUESTION TEST
• ANSWERS TEST