ASVAB Math Knowledge Practice Test 459026 Results

Your Results Global Average
Questions 5 5
Correct 0 2.72
Score 0% 54%

Review

1

Simplify (3a)(4ab) - (8a2)(7b).

62% Answer Correctly
-44a2b
105a2b
105ab2
44ab2

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.

(3a)(4ab) - (8a2)(7b)
(3 x 4)(a x a x b) - (8 x 7)(a2 x b)
(12)(a1+1 x b) - (56)(a2b)
12a2b - 56a2b
-44a2b


2

Simplify (4a)(8ab) + (5a2)(8b).

65% Answer Correctly
72a2b
72ab2
156a2b
-8a2b

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)(8ab) + (5a2)(8b)
(4 x 8)(a x a x b) + (5 x 8)(a2 x b)
(32)(a1+1 x b) + (40)(a2b)
32a2b + 40a2b
72a2b


3

If b = 6 and z = 4, what is the value of 8b(b - z)?

68% Answer Correctly
168
96
60
-120

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.)

8b(b - z)
8(6)(6 - 4)
8(6)(2)
(48)(2)
96


4

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

24% Answer Correctly

c = π d

c = π r

c = π r2

c = 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.


5

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.