ASVAB Math Knowledge Practice Test 758596 Results

Your Results Global Average
Questions 5 5
Correct 0 2.79
Score 0% 56%

Review

1

Solve for b:
-4b + 7 = \( \frac{b}{-8} \)

46% Answer Correctly
-4
-\(\frac{24}{65}\)
\(\frac{8}{25}\)
1\(\frac{25}{31}\)

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.

-4b + 7 = \( \frac{b}{-8} \)
-8 x (-4b + 7) = b
(-8 x -4b) + (-8 x 7) = b
32b - 56 = b
32b - 56 - b = 0
32b - b = 56
31b = 56
b = \( \frac{56}{31} \)
b = 1\(\frac{25}{31}\)


2

If the base of this triangle is 7 and the height is 5, what is the area?

58% Answer Correctly
77
17\(\frac{1}{2}\)
60
49

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)


3

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

45% Answer Correctly

trisects

intersects

midpoints

bisects


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.


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

What is 9a2 + 6a2?

75% Answer Correctly
3a4
15
15a2
a24

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.

9a2 + 6a2 = 15a2