ASVAB Math Knowledge Practice Test 318262 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

Simplify (y + 2)(y - 3)

63% Answer Correctly
y2 + 5y + 6
y2 - y - 6
y2 + y - 6
y2 - 5y + 6

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y - 3)
(y x y) + (y x -3) + (2 x y) + (2 x -3)
y2 - 3y + 2y - 6
y2 - y - 6


2

Solve for y:
9y - 7 > \( \frac{y}{7} \)

44% Answer Correctly
y > 1\(\frac{1}{62}\)
y > \(\frac{49}{62}\)
y > -\(\frac{45}{64}\)
y > 8\(\frac{3}{4}\)

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.

9y - 7 > \( \frac{y}{7} \)
7 x (9y - 7) > y
(7 x 9y) + (7 x -7) > y
63y - 49 > y
63y - 49 - y > 0
63y - y > 49
62y > 49
y > \( \frac{49}{62} \)
y > \(\frac{49}{62}\)


3

What is the circumference of a circle with a radius of 6?

71% Answer Correctly
12π
19π
36π
32π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π


4

Simplify (8a)(2ab) - (3a2)(3b).

62% Answer Correctly
25a2b
7a2b
60a2b
-7ab2

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.

(8a)(2ab) - (3a2)(3b)
(8 x 2)(a x a x b) - (3 x 3)(a2 x b)
(16)(a1+1 x b) - (9)(a2b)
16a2b - 9a2b
7a2b


5

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

88% Answer Correctly

division

exponents

pairs

addition


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.)