ASVAB Math Knowledge Practice Test 986251 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.87
Score	0%	57%

Review

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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.

The dimensions of this trapezoid are a = 5, b = 2, c = 8, d = 4, and h = 3. What is the area?

51% Answer Correctly

	27\(\frac{1}{2}\)
	10\(\frac{1}{2}\)
	9
	28

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 4)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9

Solve -7b + 9b = 2b - 8z + 4 for b in terms of z.

34% Answer Correctly

	-\(\frac{1}{2}\)z + \(\frac{1}{2}\)
	1\(\frac{8}{9}\)z - \(\frac{4}{9}\)
	-\(\frac{3}{7}\)z + \(\frac{4}{7}\)
	-\(\frac{1}{3}\)z - \(\frac{1}{3}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-7b + 9z = 2b - 8z + 4
-7b = 2b - 8z + 4 - 9z
-7b - 2b = -8z + 4 - 9z
-9b = -17z + 4
b = \( \frac{-17z + 4}{-9} \)
b = \( \frac{-17z}{-9} \) + \( \frac{4}{-9} \)
b = 1\(\frac{8}{9}\)z - \(\frac{4}{9}\)

The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?

46% Answer Correctly

	2
	3
	2\(\frac{1}{2}\)
	\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3

Which of the following expressions contains exactly two terms?

82% Answer Correctly

	binomial
	monomial
	polynomial
	quadratic

Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.