ASVAB Math Knowledge Practice Test 490016 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

Solve for x:
3x - 7 = \( \frac{x}{1} \)

46% Answer Correctly
1\(\frac{1}{23}\)
-\(\frac{3}{7}\)
3\(\frac{1}{2}\)
-6\(\frac{2}{3}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

3x - 7 = \( \frac{x}{1} \)
1 x (3x - 7) = x
(1 x 3x) + (1 x -7) = x
3x - 7 = x
3x - 7 - x = 0
3x - x = 7
2x = 7
x = \( \frac{7}{2} \)
x = 3\(\frac{1}{2}\)


2

Simplify (7a)(5ab) + (8a2)(6b).

65% Answer Correctly
13ab2
83a2b
-13ab2
168ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(5ab) + (8a2)(6b)
(7 x 5)(a x a x b) + (8 x 6)(a2 x b)
(35)(a1+1 x b) + (48)(a2b)
35a2b + 48a2b
83a2b


3

If BD = 21 and AD = 27, AB = ?

75% Answer Correctly
6
14
5
13

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 27 - 21
AB = 6


4

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

π r2h2

4π r2

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

Simplify 6a x 2b.

85% Answer Correctly
12ab
12a2b2
12\( \frac{b}{a} \)
8ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

6a x 2b = (6 x 2) (a x b) = 12ab