ASVAB Math Knowledge Practice Test 781385 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.41
Score	0%	68%

Review

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

	3
	5
	4
	2

Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

Which of the following statements about math operations is incorrect?

71% Answer Correctly

	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
	all of these statements are correct

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 endpoints of this line segment are at (-2, 9) and (2, -1). What is the slope of this line?

46% Answer Correctly

	1
	-1
	-\(\frac{1}{2}\)
	-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, 9) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

If a = 1 and x = -5, what is the value of 3a(a - x)?

69% Answer Correctly

	-567
	18
	-7
	108

Solution

To solve this equation, 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.)

3a(a - x)
3(1)(1 + 5)
3(1)(6)
(3)(6)
18

Simplify (5a)(9ab) + (3a²)(7b).

65% Answer Correctly

	24ab²
	24a²b
	-24a²b
	66a²b

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)(9ab) + (3a²)(7b)
(5 x 9)(a x a x b) + (3 x 7)(a² x b)
(45)(a¹⁺¹ x b) + (21)(a²b)
45a²b + 21a²b
66a²b