ASVAB Math Knowledge Practice Test 936454 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 8. What is the surface area?

51% Answer Correctly
100
170
178
46

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 1 x 8) + (2 x 8 x 9) + (2 x 1 x 9)
sa = (16) + (144) + (18)
sa = 178


2

If b = 1 and y = 6, what is the value of 5b(b - y)?

69% Answer Correctly
-100
180
-25
-72

Solution

To solve this equation, 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.)

5b(b - y)
5(1)(1 - 6)
5(1)(-5)
(5)(-5)
-25


3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

c - a

c2 + a2

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


4

What is 3a + 5a?

81% Answer Correctly
8a
-2a2
-2
a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a + 5a = 8a


5

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

expression

problem

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.