ASVAB Math Knowledge Practice Test 419251 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?

46% Answer Correctly
-2
3
1\(\frac{1}{2}\)
2

Solution

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, 0) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)


2

What is 9a + 3a?

81% Answer Correctly
6a2
12a
a2
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.

9a + 3a = 12a


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles

all acute angles equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

What is the circumference of a circle with a diameter of 17?

71% Answer Correctly
22π
17π
16π
32π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 17π


5

Solve for z:
-7z + 8 < -3 + 8z

55% Answer Correctly
z < -2\(\frac{1}{2}\)
z < -1\(\frac{4}{5}\)
z < \(\frac{11}{15}\)
z < -2

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.

-7z + 8 < -3 + 8z
-7z < -3 + 8z - 8
-7z - 8z < -3 - 8
-15z < -11
z < \( \frac{-11}{-15} \)
z < \(\frac{11}{15}\)