ASVAB Math Knowledge Practice Test 20098 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

Simplify (7a)(9ab) + (5a2)(6b).

65% Answer Correctly
33ab2
93a2b
-33ab2
33a2b

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.

(7a)(9ab) + (5a2)(6b)
(7 x 9)(a x a x b) + (5 x 6)(a2 x b)
(63)(a1+1 x b) + (30)(a2b)
63a2b + 30a2b
93a2b


2

What is 4a + 8a?

81% Answer Correctly
12a
12a2
12
32a

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.

4a + 8a = 12a


3

If AD = 12 and BD = 2, AB = ?

75% Answer Correctly
10
12
14
9

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 12 - 2
AB = 10


4

The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x + 0
y = -3x + 3
y = 2x - 3
y = -2\(\frac{1}{2}\)x + 1

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 1. 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, 6) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


5

Which of the following expressions contains exactly two terms?

82% Answer Correctly

quadratic

binomial

monomial

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.