ASVAB Math Knowledge Practice Test 245899 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

Solve for y:
y2 - 6y + 12 = 3y - 2

48% Answer Correctly
4 or -2
9 or -7
5 or -8
2 or 7

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:

y2 - 6y + 12 = 3y - 2
y2 - 6y + 12 + 2 = 3y
y2 - 6y - 3y + 14 = 0
y2 - 9y + 14 = 0

Next, factor the quadratic equation:

y2 - 9y + 14 = 0
(y - 2)(y - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 7) must equal zero:

If (y - 2) = 0, y must equal 2
If (y - 7) = 0, y must equal 7

So the solution is that y = 2 or 7


2

On this circle, line segment CD is the:

46% Answer Correctly

chord

diameter

circumference

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Simplify 5a x 9b.

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

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.

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


4

Solve for a:
5a + 4 = 2 + 6a

59% Answer Correctly
-\(\frac{4}{5}\)
2
1
-1\(\frac{2}{5}\)

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.

5a + 4 = 2 + 6a
5a = 2 + 6a - 4
5a - 6a = 2 - 4
-a = -2
a = \( \frac{-2}{-1} \)
a = 2


5

If side x = 5cm, side y = 13cm, and side z = 11cm what is the perimeter of this triangle?

84% Answer Correctly
30cm
26cm
29cm
36cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 13cm + 11cm = 29cm