ASVAB Math Knowledge Practice Test 961957 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.72
Score	0%	74%

Review

If a = c = 4, b = d = 3, what is the area of this rectangle?

79% Answer Correctly

	36
	4
	12
	24

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 4 x 3
a = 12

If AD = 30 and BD = 27, AB = ?

75% Answer Correctly

	19
	6
	16
	3

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 = 30 - 27
AB = 3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

	you can subtract monomials that have the same variable and the same exponent
	all of these statements are correct
	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 a = 5 and z = 4, what is the value of -9a(a - z)?

68% Answer Correctly

	72
	297
	-45
	396

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.)

-9a(a - z)
-9(5)(5 - 4)
-9(5)(1)
(-45)(1)
-45

What is 8a + 4a?

80% Answer Correctly

	4a²
	32a
	12
	12a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a + 4a = 12a