# ASVAB Math Knowledge Practice Test

with video solutions by Coach Anderson.

Once you're done, get more free practice tests, free Zoom classes, and more at the end of this page.

Once you're done, get more free practice tests, free Zoom classes, and more at the end of this page.

## How to Take This Practice Test

It's not about memorizing the questions. It's about doing your honest best and seeing where you can grow. Mistakes happen; it's up to you to learn from your mistakes.

My name is Coach Anderson, and thanks for choosing to serve. Let's Ace The ASVAB.

At the end of this page, you can find:

My name is Coach Anderson, and thanks for choosing to serve. Let's Ace The ASVAB.

At the end of this page, you can find:

- Step-by-Step Video Solutions
- More free resources (practice tests, free live class on zoom, etc.)
- Our ASVAB Prep Program that over 6000 of our students have used to raise their scores and get the jobs they want.

## Start Your ASVAB Math Knowledge Practice Test

Reveal each correct answer by swiping right on the question. Video solutions for all 16 questions are at the end. Good luck!

### Question 1

Simplify the following expression:

8 + 12 ÷ 3 × 2 - 1

11

15

23

31

Swipe/click right for the answer

Swipe/click right for the answer

### Question 1

Simplify the following expression:

8 + 12 ÷ 3 × 2 - 1

11

15

23

31

Watch step by step solutions at the end of this page.

### Question 2

**Solve for x:**

0.2x + 4 = 3.4

-17

-3

-0.3

17

Swipe/click right for the answer

### Question 2

**Solve for x:**

0.2x + 4 = 3.4

-17

-3

-0.3

17

Watch step by step solutions at the end of this page.

Watch step by step solutions at the end of this page.

### Question 3

**Solve the inequality:**

-4x + 7 > -1

x > -2

x > 2

x < -2

x < 2

Swipe/click right for the answer

### Question 3

**Solve the inequality:**

-4x + 7 > -1

x > -2

x > 2

x < -2

x < 2

Watch step by step solutions at the end of this page.

### Question 4

**Multiply the following binomials:**

(3x + 5)(2x - 7)

6x

^{2}- 11x + 356x

^{2}- 11x - 355x

^{2}- 11x - 356x

^{2}- 21x - 35Swipe/click right for the answer

### Question 4

**Multiply the following binomials:**

(3x + 5)(2x - 7)

6x

^{2}- 11x + 35

6x

^{2}- 11x - 355x

^{2}- 11x - 356x

^{2}- 21x - 35Watch step by step solutions at the end of this page.

### Question 5

**Simplify the following expression by combining like terms:**

4.2x + 3.7x

^{2}- 1.5x + 2.4x

^{2}- 0.8

6.1x

^{2}+ 1.9x - 0.8

6.1x

^{2}+ 2.7x - 0.8

7.9x

^{2}+ 2.7x - 0.8

6.1x

^{2}+ 2.7x

Swipe/click right for the answer

### Question 5

**Simplify the following expression by combining like terms:**

4.2x + 3.7x

^{2}- 1.5x + 2.4x

^{2}- 0.8

6.1x

^{2}+ 1.9x - 0.8

6.1x

^{2}+ 2.7x - 0.8

7.9x

^{2}+ 2.7x - 0.8

6.1x

^{2}+ 2.7x

Watch step by step solutions at the end of this page.

### Question 6

The line passing through the points
(2, 5) and (6, 13) on a coordinate plane is extended so that the x-coordinate
of a third point is 9. What is the y-coordinate of this third point?

17

18

19

21

17

18

19

21

Swipe/click right for the answer

### Question 6

The line passing through the points
(2, 5) and (6, 13) on a coordinate plane is extended so that the x-coordinate
of a third point is 9. What is the y-coordinate of this third point?

17

18

19

21

17

18

19

21

Watch step by step solutions at the end of this page.

### Question 7

In a right triangle, one leg
measures 8 inches and the hypotenuse measures 17 inches. What is the length of
the other leg? Round your answer to the nearest tenth of an inch.

9 inches

12.7 inches

15 inches

16 inches

9 inches

12.7 inches

15 inches

16 inches

Swipe/click right for the answer

### Question 7

In a right triangle, one leg
measures 8 inches and the hypotenuse measures 17 inches. What is the length of
the other leg? Round your answer to the nearest tenth of an inch.

9 inches

12.7 inches

15 inches

16 inches

9 inches

12.7 inches

15 inches

16 inches

Watch step by step solutions at the end of this page.

### Question 8

Solve the following system of
equations:

4x + 3y = 23

5x - 2y = 8

x = 3, y = 5

x = 7, y = 83/23

x = 70/23, y = 83/23

x = 7/23, y = 8/23

4x + 3y = 23

5x - 2y = 8

x = 3, y = 5

x = 7, y = 83/23

x = 70/23, y = 83/23

x = 7/23, y = 8/23

Swipe/click right for the answer

### Question 8

Solve the following system of
equations:

4x + 3y = 23

5x - 2y = 8

x = 3, y = 5

x = 7, y = 83/23

x = 70/23, y = 83/23

x = 7/23, y = 8/23

4x + 3y = 23

5x - 2y = 8

x = 3, y = 5

x = 7, y = 83/23

x = 70/23, y = 83/23

x = 7/23, y = 8/23

Watch step by step solutions at the end of this page.

### Question 9

**Evaluate the following expression:**

7.5 + 12 ÷ 3 × 4

19.5

23.5

27.5

31

Swipe/click right for the answer

### Question 9

**Evaluate the following expression:**

7.5 + 12 ÷ 3 × 4

19.5

23.5

27.5

31

Watch step by step solutions at the end of this page.

### Question 10

Angles 1 and 2 are complementary
angles. The measure of angle 1 is (5x + 20) degrees, and the measure of angle 2
is (3x + 40) degrees. What is the value of x?

3.75

7.5

8

12

3.75

7.5

8

12

Swipe/click right for the answer

### Question 10

Angles 1 and 2 are complementary
angles. The measure of angle 1 is (5x + 20) degrees, and the measure of angle 2
is (3x + 40) degrees. What is the value of x?

3.75

7.5

8

12

3.75

7.5

8

12

Watch step by step solutions at the end of this page.

### Question 11

Multiply:

(2x + 3)(x

2x

2x

2x

2x

(2x + 3)(x

^{2}- 4x + 5)2x

^{3}- 8x^{2}+ 17x + 152x

^{3}- 5x^{2}+ 4x + 152x

^{3}- 2x^{2}- 8x + 152x

^{3}- 5x^{2}- 2x + 15Swipe/click right for the answer

### Question 11

Multiply:

(2x + 3)(x

2x

2x

2x

2x

(2x + 3)(x

^{2}- 4x + 5)2x

^{3}- 8x^{2}+ 17x + 152x

^{3}- 5x^{2}+ 4x + 152x

^{3}- 2x^{2}- 8x + 152x

^{3}- 5x^{2}- 2x + 15Watch step by step solutions at the end of this page.

### Question 12

What is the greatest common factor
of 135 and 180?

9

15

45

90

9

15

45

90

Swipe/click right for the answer

### Question 12

What is the greatest common factor
of 135 and 180?

9

15

45

90

9

15

45

90

Watch step by step solutions at the end of this page.

### Question 13

What is the slope of the line that
passes through the points (-3, 5) and (4, -2)?

-7

-1

1

7

-7

-1

1

7

Swipe/click right for the answer

### Question 13

What is the slope of the line that
passes through the points (-3, 5) and (4, -2)?

-7

-1

1

7

-7

-1

1

7

Watch step by step solutions at the end of this page.

### Question 14

What is the slope of the line
passing through the points (3.5, -2) and (7, 6)?

7/16

16/7

3.5/8

4

7/16

16/7

3.5/8

4

Swipe/click right for the answer

### Question 14

What is the slope of the line
passing through the points (3.5, -2) and (7, 6)?

7/16

16/7

3.5/8

4

7/16

16/7

3.5/8

4

Watch step by step solutions at the end of this page.

### Question 15

Solve for x:

4(2x - 3) - 3(x + 5) = 5x - 2(3x - 1)

13/6

29/6

37/6

25/6

4(2x - 3) - 3(x + 5) = 5x - 2(3x - 1)

13/6

29/6

37/6

25/6

Swipe/click right for the answer

### Question 15

Solve for x:

4(2x - 3) - 3(x + 5) = 5x - 2(3x - 1)

13/6

29/6

37/6

25/6

4(2x - 3) - 3(x + 5) = 5x - 2(3x - 1)

13/6

29/6

37/6

25/6

Watch step by step solutions at the end of this page.

### Question 16

Simplify the following expression:

(x

8x

x

x

x

(x

^{5})(x^{3})8x

x

^{15}x

^{8}x

^{2}Swipe/click right for the answer

### Question 16

Simplify the following expression:

(x

8x

x

x

x

(x

^{5})(x^{3})8x

x

^{15}x

^{8}x

^{2}Watch step by step solutions at the end of this page.

Step-by-Step Answers and Solutions

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We hope you enjoyed this free ASVAB Math Knowledge Practice Test! It's all about learning from mistakes, not memorizing questions and hoping for the best.

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