ASVAB Math Knowledge Practice Test 413222 Results

Your Results Global Average
Questions 5 5
Correct 0 2.98
Score 0% 60%

Review

1

Find the value of c:
4c + x = -3
-6c + 3x = -6

42% Answer Correctly
-\(\frac{5}{9}\)
-\(\frac{1}{6}\)
-\(\frac{1}{4}\)
-4\(\frac{1}{7}\)

Solution

You need to find the value of c so solve the first equation in terms of x:

4c + x = -3
x = -3 - 4c

then substitute the result (-3 - 4c) into the second equation:

-6c + 3(-3 - 4c) = -6
-6c + (3 x -3) + (3 x -4c) = -6
-6c - 9 - 12c = -6
-6c - 12c = -6 + 9
-18c = 3
c = \( \frac{3}{-18} \)
c = -\(\frac{1}{6}\)


2

The dimensions of this cube are height (h) = 6, length (l) = 1, and width (w) = 4. What is the volume?

83% Answer Correctly
224
315
200
24

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 6 x 1 x 4
v = 24


3

Simplify (y - 7)(y + 2)

64% Answer Correctly
y2 + 9y + 14
y2 - 9y + 14
y2 - 5y - 14
y2 + 5y - 14

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 - 7)(y + 2)
(y x y) + (y x 2) + (-7 x y) + (-7 x 2)
y2 + 2y - 7y - 14
y2 - 5y - 14


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

diameter

radius


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).


5

Simplify (8a)(9ab) - (9a2)(8b).

62% Answer Correctly
b2
289a2b
0a2b
144ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(9ab) - (9a2)(8b)
(8 x 9)(a x a x b) - (9 x 8)(a2 x b)
(72)(a1+1 x b) - (72)(a2b)
72a2b - 72a2b
0a2b