ASVAB Math Knowledge Practice Test 379857 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

Simplify 3a x 2b.

85% Answer Correctly
6a2b2
6\( \frac{b}{a} \)
5ab
6ab

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.

3a x 2b = (3 x 2) (a x b) = 6ab


2

A right angle measures:

90% Answer Correctly

90°

45°

180°

360°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

Solve for x:
-x + 9 > \( \frac{x}{-4} \)

44% Answer Correctly
x > 12
x > -6\(\frac{3}{10}\)
x > -\(\frac{9}{14}\)
x > \(\frac{14}{29}\)

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 > sign and the answer on the other.

-x + 9 > \( \frac{x}{-4} \)
-4 x (-x + 9) > x
(-4 x -x) + (-4 x 9) > x
4x - 36 > x
4x - 36 - x > 0
4x - x > 36
3x > 36
x > \( \frac{36}{3} \)
x > 12


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

exponents

pairs

addition

division


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


5

The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the surface area?

48% Answer Correctly
80π
48π
182π
96π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 2)
sa = 2π(36) + 2π(12)
sa = (2 x 36)π + (2 x 12)π
sa = 72π + 24π
sa = 96π