ASVAB Math Knowledge Practice Test 949928 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.67
Score	0%	73%

Review

Which of the following statements about math operations is incorrect?

71% Answer Correctly

	all of these statements are correct
	you can subtract monomials that have the same variable and the same exponent
	you can add monomials that have the same variable and the same exponent
	you can multiply monomials that have different variables and different exponents

Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

If AD = 26 and BD = 17, AB = ?

76% Answer Correctly

	20
	1
	9
	18

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 26 - 17
AB = 9

The formula for the area of a circle is which of the following?

78% Answer Correctly

	a = π r
	a = π d²
	a = π r²
	a = π d

Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

Solve for y:
y² + 8y + 8 = 4y + 5

49% Answer Correctly

	5 or 4
	-1 or -6
	-1 or -3
	4 or 4

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 + 8y + 8 = 4y + 5
y² + 8y + 8 - 5 = 4y
y² + 8y - 4y + 3 = 0
y² + 4y + 3 = 0

Next, factor the quadratic equation:

y² + 4y + 3 = 0
(y + 1)(y + 3) = 0

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

If (y + 1) = 0, y must equal -1
If (y + 3) = 0, y must equal -3

So the solution is that y = -1 or -3

A coordinate grid is composed of which of the following?

92% Answer Correctly

	x-axis
	all of these
	origin
	y-axis

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.