ASVAB Math Knowledge Practice Test 884772 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 7. What is the volume?

83% Answer Correctly
36
189
441
70

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 3 x 9 x 7
v = 189


2

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

88% Answer Correctly

addition

exponents

pairs

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.)


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

Solve for x:
4x + 5 < \( \frac{x}{4} \)

44% Answer Correctly
x < 2\(\frac{4}{19}\)
x < -\(\frac{2}{17}\)
x < -1\(\frac{1}{3}\)
x < 2\(\frac{2}{9}\)

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.

4x + 5 < \( \frac{x}{4} \)
4 x (4x + 5) < x
(4 x 4x) + (4 x 5) < x
16x + 20 < x
16x + 20 - x < 0
16x - x < -20
15x < -20
x < \( \frac{-20}{15} \)
x < -1\(\frac{1}{3}\)


5

The dimensions of this trapezoid are a = 4, b = 6, c = 6, d = 8, and h = 3. What is the area?

51% Answer Correctly
26
21
28
15

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 8)(3)
a = ½(14)(3)
a = ½(42) = \( \frac{42}{2} \)
a = 21