ASVAB Math Knowledge Practice Test 331274 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

trisects

bisects

intersects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


2

Solve for y:
-9y + 2 = -4 + 5y

59% Answer Correctly
1\(\frac{3}{4}\)
-5
-\(\frac{1}{9}\)
\(\frac{3}{7}\)

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 equal sign and the answer on the other.

-9y + 2 = -4 + 5y
-9y = -4 + 5y - 2
-9y - 5y = -4 - 2
-14y = -6
y = \( \frac{-6}{-14} \)
y = \(\frac{3}{7}\)


3

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

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

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 0. 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, -1) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x + 0


4

What is 7a + 6a?

81% Answer Correctly
13a
a2
1
13

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.

7a + 6a = 13a


5

If angle a = 62° and angle b = 47° what is the length of angle c?

71% Answer Correctly
71°
94°
116°
114°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 47° = 71°