ASVAB Math Knowledge Practice Test 283128 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

What is 2a9 + 2a9?

75% Answer Correctly
4
a918
0
4a9

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.

2a9 + 2a9 = 4a9


2

Solve for c:
c2 + 3c - 3 = 3c + 1

49% Answer Correctly
2 or -2
3 or -3
4 or 2
7 or -3

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

c2 + 3c - 3 = 3c + 1
c2 + 3c - 3 - 1 = 3c
c2 + 3c - 3c - 4 = 0
c2 - 4 = 0

Next, factor the quadratic equation:

c2 - 4 = 0
(c - 2)(c + 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c + 2) must equal zero:

If (c - 2) = 0, c must equal 2
If (c + 2) = 0, c must equal -2

So the solution is that c = 2 or -2


3

The endpoints of this line segment are at (-2, -1) and (2, 3). What is the slope-intercept equation for this line?

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

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, -1) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x + 1


4

What is 4a2 - 2a2?

74% Answer Correctly
8a4
2a2
6a4
6

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.

4a2 - 2a2 = 2a2


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

rhombus

trapezoid

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.