ASVAB Math Knowledge Practice Test 681548 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

A coordinate grid is composed of which of the following?

92% Answer Correctly

x-axis

y-axis

origin

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


2

Solve for x:
x2 + 3x - 40 = 0

59% Answer Correctly
5 or -8
2 or -8
9 or -3
-2 or -3

Solution

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

x2 + 3x - 40 = 0
(x - 5)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 5) or (x + 8) must equal zero:

If (x - 5) = 0, x must equal 5
If (x + 8) = 0, x must equal -8

So the solution is that x = 5 or -8


3

Solve for x:
x2 + 15x + 26 = 4x + 2

49% Answer Correctly
2 or -8
-3 or -8
-3 or -9
4 or -2

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:

x2 + 15x + 26 = 4x + 2
x2 + 15x + 26 - 2 = 4x
x2 + 15x - 4x + 24 = 0
x2 + 11x + 24 = 0

Next, factor the quadratic equation:

x2 + 11x + 24 = 0
(x + 3)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 8) must equal zero:

If (x + 3) = 0, x must equal -3
If (x + 8) = 0, x must equal -8

So the solution is that x = -3 or -8


4

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

55% Answer Correctly

equilateral and right

equilateral and isosceles

equilateral, isosceles and right

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

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

problem

formula

equation

expression


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.