ASVAB Math Knowledge Practice Test 16134 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

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

42% Answer Correctly
y = 1\(\frac{1}{2}\)x + 1
y = 1\(\frac{1}{2}\)x + 0
y = -\(\frac{1}{2}\)x + 2
y = -\(\frac{1}{2}\)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 0. 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, -3) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x + 0


2

Solve for a:
-8a + 2 = -5 + a

60% Answer Correctly
-3
\(\frac{5}{6}\)
\(\frac{7}{9}\)
-1

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.

-8a + 2 = -5 + a
-8a = -5 + a - 2
-8a - a = -5 - 2
-9a = -7
a = \( \frac{-7}{-9} \)
a = \(\frac{7}{9}\)


3

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

3

5

2

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

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

84% Answer Correctly

Inside

Last

First

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.


5

Simplify (9a)(2ab) - (2a2)(7b).

63% Answer Correctly
99ab2
32a2b
-4ab2
4a2b

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.

(9a)(2ab) - (2a2)(7b)
(9 x 2)(a x a x b) - (2 x 7)(a2 x b)
(18)(a1+1 x b) - (14)(a2b)
18a2b - 14a2b
4a2b