ASVAB Math Knowledge Practice Test 381421 Results

Your Results Global Average
Questions 5 5
Correct 0 3.73
Score 0% 75%

Review

1

Simplify (3a)(2ab) + (2a2)(3b).

65% Answer Correctly
25a2b
2b
12a2b
b2

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)(2ab) + (2a2)(3b)
(3 x 2)(a x a x b) + (2 x 3)(a2 x b)
(6)(a1+1 x b) + (6)(a2b)
6a2b + 6a2b
12a2b


2

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

88% Answer Correctly

pairs

addition

division

exponents


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.)


3

A right angle measures:

90% Answer Correctly

90°

360°

180°

45°


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.


4

Solve for y:
y2 - 4y - 21 = 0

58% Answer Correctly
-5 or -6
7 or 7
-4 or -5
-3 or 7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 - 4y - 21 = 0
(y + 3)(y - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y - 7) must equal zero:

If (y + 3) = 0, y must equal -3
If (y - 7) = 0, y must equal 7

So the solution is that y = -3 or 7


5

What is the area of a circle with a diameter of 4?

69% Answer Correctly
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π