ASVAB Math Knowledge Practice Test 14981 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

A coordinate grid is composed of which of the following?

89% Answer Correctly

all of these

x-axis

y-axis

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


2

Solve for b:
9b - 2 < \( \frac{b}{-6} \)

44% Answer Correctly
b < \(\frac{12}{55}\)
b < 7
b < -\(\frac{7}{11}\)
b < -\(\frac{1}{5}\)

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 < sign and the answer on the other.

9b - 2 < \( \frac{b}{-6} \)
-6 x (9b - 2) < b
(-6 x 9b) + (-6 x -2) < b
-54b + 12 < b
-54b + 12 - b < 0
-54b - b < -12
-55b < -12
b < \( \frac{-12}{-55} \)
b < \(\frac{12}{55}\)


3

What is 5a6 - 6a6?

73% Answer Correctly
11
-1a6
30a12
a612

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.

5a6 - 6a6 = -1a6


4

Which of the following expressions contains exactly two terms?

82% Answer Correctly

monomial

polynomial

binomial

quadratic


Solution

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


5

Solve for a:
a2 - 4a - 21 = 0

58% Answer Correctly
7 or -2
1 or -2
-5 or -9
-3 or 7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 - 4a - 21 = 0
(a + 3)(a - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 7) must equal zero:

If (a + 3) = 0, a must equal -3
If (a - 7) = 0, a must equal 7

So the solution is that a = -3 or 7