ASVAB Math Knowledge Practice Test 341153 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 9. What is the surface area?

51% Answer Correctly
202
70
28
158

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 9) + (2 x 9 x 7) + (2 x 1 x 7)
sa = (18) + (126) + (14)
sa = 158


2

The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 7, and h = 3. What is the area?

50% Answer Correctly
30
15
25
21

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(3 + 7)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15


3

What is 8a4 - 4a4?

73% Answer Correctly
4a8
12a8
4a4
12

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.

8a4 - 4a4 = 4a4


4

If b = -3 and y = 6, what is the value of -8b(b - y)?

68% Answer Correctly
-120
-54
-216
-210

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.)

-8b(b - y)
-8(-3)(-3 - 6)
-8(-3)(-9)
(24)(-9)
-216


5

What is 9a - 3a?

78% Answer Correctly
6a
6
27a
6a2

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.

9a - 3a = 6a