ASVAB Math Knowledge Practice Test 503196 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

A right angle measures:

91% Answer Correctly

360°

45°

180°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


2

Solve for b:
b2 + 4b - 5 = 0

59% Answer Correctly
3 or -3
8 or 7
4 or -4
1 or -5

Solution

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

b2 + 4b - 5 = 0
(b - 1)(b + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 5) must equal zero:

If (b - 1) = 0, b must equal 1
If (b + 5) = 0, b must equal -5

So the solution is that b = 1 or -5


3

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope-intercept equation for this line?

41% Answer Correctly
y = x + 4
y = 2\(\frac{1}{2}\)x - 2
y = -3x - 1
y = -3x + 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 -2. 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, -7) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


4

What is 4a3 - 5a3?

74% Answer Correctly
9
9a6
-1a3
a36

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.

4a3 - 5a3 = -1a3


5

Simplify (y + 9)(y - 2)

64% Answer Correctly
y2 - 7y - 18
y2 - 11y + 18
y2 + 11y + 18
y2 + 7y - 18

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 + 9)(y - 2)
(y x y) + (y x -2) + (9 x y) + (9 x -2)
y2 - 2y + 9y - 18
y2 + 7y - 18