ASVAB Math Knowledge Practice Test 833557 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Simplify (y - 2)(y - 1)

64% Answer Correctly
y2 + y - 2
y2 - y - 2
y2 + 3y + 2
y2 - 3y + 2

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:

(y - 2)(y - 1)
(y x y) + (y x -1) + (-2 x y) + (-2 x -1)
y2 - y - 2y + 2
y2 - 3y + 2


2

If a = c = 3, b = d = 5, and the blue angle = 63°, what is the area of this parallelogram?

66% Answer Correctly
54
21
6
15

Solution

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

a = l x w
a = a x b
a = 3 x 5
a = 15


3

On this circle, line segment AB is the:

71% Answer Correctly

chord

circumference

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

Solve for a:
-2a - 9 = 3 + 2a

59% Answer Correctly
-\(\frac{3}{4}\)
1\(\frac{1}{3}\)
-3
-1\(\frac{1}{8}\)

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 equal sign and the answer on the other.

-2a - 9 = 3 + 2a
-2a = 3 + 2a + 9
-2a - 2a = 3 + 9
-4a = 12
a = \( \frac{12}{-4} \)
a = -3


5

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can add monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.