ASVAB Math Knowledge Practice Test 25753 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.89
Score	0%	78%

Review

Simplify 4a x 6b.

85% Answer Correctly

	24\( \frac{a}{b} \)
	24ab
	24\( \frac{b}{a} \)
	10ab

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.

4a x 6b = (4 x 6) (a x b) = 24ab

If BD = 11 and AD = 14, AB = ?

75% Answer Correctly

	20
	3
	19
	5

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 = 14 - 11
AB = 3

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

77% Answer Correctly

	a = π d
	a = π r
	a = π r²
	a = π d²

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.

Simplify (y - 8)(y - 9)

63% Answer Correctly

	y² + y - 72
	y² - 17y + 72
	y² + 17y + 72
	y² - y - 72

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 8)(y - 9)
(y x y) + (y x -9) + (-8 x y) + (-8 x -9)
y² - 9y - 8y + 72
y² - 17y + 72

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

	division
	pairs
	addition
	exponents

Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)