ASVAB Math Knowledge Practice Test 119123 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

Solve for b:
6b + 4 > \( \frac{b}{-1} \)

44% Answer Correctly
b > -\(\frac{4}{7}\)
b > 1\(\frac{1}{14}\)
b > -1\(\frac{1}{4}\)
b > 1\(\frac{1}{39}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

6b + 4 > \( \frac{b}{-1} \)
-1 x (6b + 4) > b
(-1 x 6b) + (-1 x 4) > b
-6b - 4 > b
-6b - 4 - b > 0
-6b - b > 4
-7b > 4
b > \( \frac{4}{-7} \)
b > -\(\frac{4}{7}\)


2

The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 9. What is the surface area?

51% Answer Correctly
92
16
126
246

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 8) + (2 x 3 x 8)
sa = (54) + (144) + (48)
sa = 246


3

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

88% Answer Correctly

pairs

exponents

addition

division


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.)


4

Simplify (5a)(9ab) + (3a2)(8b).

65% Answer Correctly
154ab2
154a2b
69a2b
-21a2b

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)(8b)
(5 x 9)(a x a x b) + (3 x 8)(a2 x b)
(45)(a1+1 x b) + (24)(a2b)
45a2b + 24a2b
69a2b


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

rhombus

quadrilateral

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.