ASVAB Math Knowledge Practice Test 170278 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

If a = c = 8, b = d = 2, what is the area of this rectangle?

80% Answer Correctly
14
5
16
27

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 8 x 2
a = 16


2

Factor y2 + y - 30

54% Answer Correctly
(y - 5)(y + 6)
(y - 5)(y - 6)
(y + 5)(y + 6)
(y + 5)(y - 6)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -30 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -5 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + y - 30
y2 + (-5 + 6)y + (-5 x 6)
(y - 5)(y + 6)


3

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

91% Answer Correctly

division

addition

exponents

pairs


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.)


4

Solve for a:
-5a + 1 > -4 + 5a

55% Answer Correctly
a > 3\(\frac{1}{2}\)
a > -1\(\frac{1}{3}\)
a > \(\frac{1}{2}\)
a > -1\(\frac{1}{2}\)

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.

-5a + 1 > -4 + 5a
-5a > -4 + 5a - 1
-5a - 5a > -4 - 1
-10a > -5
a > \( \frac{-5}{-10} \)
a > \(\frac{1}{2}\)


5

The dimensions of this cube are height (h) = 9, length (l) = 7, and width (w) = 7. What is the surface area?

51% Answer Correctly
350
28
144
80

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 7) + (2 x 7 x 9) + (2 x 7 x 9)
sa = (98) + (126) + (126)
sa = 350