ASVAB Math Knowledge Practice Test 643612 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

What is 7a + 8a?

81% Answer Correctly
15a2
56a
15a
-1

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.

7a + 8a = 15a


2

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Inside

First

Last

Odd


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.


3

Solve for b:
b2 - 6b + 3 = b - 3

48% Answer Correctly
1 or 6
8 or -3
3 or -8
8 or 6

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - 6b + 3 = b - 3
b2 - 6b + 3 + 3 = b
b2 - 6b - b + 6 = 0
b2 - 7b + 6 = 0

Next, factor the quadratic equation:

b2 - 7b + 6 = 0
(b - 1)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 6) must equal zero:

If (b - 1) = 0, b must equal 1
If (b - 6) = 0, b must equal 6

So the solution is that b = 1 or 6


4

If a = c = 3, b = d = 8, and the blue angle = 73°, what is the area of this parallelogram?

65% Answer Correctly
7
2
24
3

Solution

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

a = l x w
a = a x b
a = 3 x 8
a = 24


5

The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 9. What is the surface area?

51% Answer Correctly
22
150
124
318

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 6 x 9) + (2 x 9 x 7) + (2 x 6 x 7)
sa = (108) + (126) + (84)
sa = 318