ASVAB Math Knowledge Practice Test 389689 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

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

45% Answer Correctly

midpoints

bisects

intersects

trisects


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 a:
a2 - 4a + 3 = 0

58% Answer Correctly
1 or 3
2 or -5
6 or -7
3 or -1

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 - 4a + 3 = 0
(a - 1)(a - 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a - 3) must equal zero:

If (a - 1) = 0, a must equal 1
If (a - 3) = 0, a must equal 3

So the solution is that a = 1 or 3


3

Find the value of c:
-7c + y = 3
2c + y = 3

42% Answer Correctly
-\(\frac{9}{53}\)
\(\frac{3}{8}\)
-1

Solution

You need to find the value of c so solve the first equation in terms of y:

-7c + y = 3
y = 3 + 7c

then substitute the result (3 - -7c) into the second equation:

2c + 1(3 + 7c) = 3
2c + (1 x 3) + (1 x 7c) = 3
2c + 3 + 7c = 3
2c + 7c = 3 - 3
9c = 0
c = \( \frac{0}{9} \)
c =


4

Simplify 9a x 5b.

86% Answer Correctly
45a2b2
45\( \frac{b}{a} \)
45ab
14ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

9a x 5b = (9 x 5) (a x b) = 45ab


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

h x l x w

lw x wh + lh

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.