ASVAB Math Knowledge Practice Test 788857 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


2

The endpoints of this line segment are at (-2, -1) and (2, 5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 3x + 0
y = -3x - 2
y = 2x - 4
y = 1\(\frac{1}{2}\)x + 2

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, -1) and (2, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


3

Solve for z:
z2 - 20 = -2z + 4

49% Answer Correctly
4 or -6
-1 or -5
-4 or -9
7 or -4

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:

z2 - 20 = -2z + 4
z2 - 20 - 4 = -2z
z2 + + 2z - 24 = 0
z2 + 2z - 24 = 0

Next, factor the quadratic equation:

z2 + 2z - 24 = 0
(z - 4)(z + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 4) or (z + 6) must equal zero:

If (z - 4) = 0, z must equal 4
If (z + 6) = 0, z must equal -6

So the solution is that z = 4 or -6


4

What is the area of a circle with a radius of 2?

70% Answer Correctly
36π
49π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


5

What is 8a - 5a?

80% Answer Correctly
40a2
40a
a2
3a

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.

8a - 5a = 3a