ASVAB Math Knowledge Practice Test 365066 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

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.)


2

If side x = 13cm, side y = 5cm, and side z = 6cm what is the perimeter of this triangle?

84% Answer Correctly
27cm
20cm
24cm
34cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 5cm + 6cm = 24cm


3

Solve for x:
x2 + 6x - 16 = 0

58% Answer Correctly
2 or -4
6 or -6
-4 or -7
2 or -8

Solution

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

x2 + 6x - 16 = 0
(x - 2)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 8) must equal zero:

If (x - 2) = 0, x must equal 2
If (x + 8) = 0, x must equal -8

So the solution is that x = 2 or -8


4

The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 4. What is the surface area?

51% Answer Correctly
136
94
82
22

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 3 x 4) + (2 x 4 x 8) + (2 x 3 x 8)
sa = (24) + (64) + (48)
sa = 136


5

Simplify (y + 7)(y - 3)

63% Answer Correctly
y2 - 4y - 21
y2 + 4y - 21
y2 - 10y + 21
y2 + 10y + 21

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 7)(y - 3)
(y x y) + (y x -3) + (7 x y) + (7 x -3)
y2 - 3y + 7y - 21
y2 + 4y - 21