ASVAB Math Knowledge Practice Test 202887 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

problem

expression

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

Simplify (y + 4)(y - 6)

64% Answer Correctly
y2 - 10y + 24
y2 - 2y - 24
y2 + 10y + 24
y2 + 2y - 24

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 + 4)(y - 6)
(y x y) + (y x -6) + (4 x y) + (4 x -6)
y2 - 6y + 4y - 24
y2 - 2y - 24


4

Simplify (8a)(5ab) + (5a2)(2b).

66% Answer Correctly
50ab2
91a2b
30ab2
50a2b

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)(5ab) + (5a2)(2b)
(8 x 5)(a x a x b) + (5 x 2)(a2 x b)
(40)(a1+1 x b) + (10)(a2b)
40a2b + 10a2b
50a2b


5

The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -\(\frac{1}{2}\)x + 1
y = x + 3
y = -\(\frac{1}{2}\)x - 1
y = -1\(\frac{1}{2}\)x - 4

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. 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, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x + 3