ASVAB Math Knowledge Practice Test 449686 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

Solve for a:
a2 - 11a + 24 = 0

59% Answer Correctly
7 or -5
3 or 8
2 or -4
8 or 1

Solution

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

a2 - 11a + 24 = 0
(a - 3)(a - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a - 8) must equal zero:

If (a - 3) = 0, a must equal 3
If (a - 8) = 0, a must equal 8

So the solution is that a = 3 or 8


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

rhombus

trapezoid

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

The endpoints of this line segment are at (-2, 1) and (2, -3). What is the slope of this line?

46% Answer Correctly
2\(\frac{1}{2}\)
-1
-3
-\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1


4

What is 8a - 8a?

80% Answer Correctly
16
64a2
0a
0

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.

8a - 8a = 0a


5

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

84% Answer Correctly

Inside

Last

Odd

First


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.