ASVAB Math Knowledge Practice Test 190583 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Solve for y:
-3y + 5 > \( \frac{y}{-6} \)

44% Answer Correctly
y > -\(\frac{28}{29}\)
y > \(\frac{18}{19}\)
y > 1\(\frac{13}{17}\)
y > 1\(\frac{13}{36}\)

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.

-3y + 5 > \( \frac{y}{-6} \)
-6 x (-3y + 5) > y
(-6 x -3y) + (-6 x 5) > y
18y - 30 > y
18y - 30 - y > 0
18y - y > 30
17y > 30
y > \( \frac{30}{17} \)
y > 1\(\frac{13}{17}\)


2

What is 2a + 2a?

81% Answer Correctly
4
0
4a
a2

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.

2a + 2a = 4a


3

Solve for y:
-5y + 7 < 6 - 2y

55% Answer Correctly
y < \(\frac{2}{3}\)
y < 1\(\frac{1}{3}\)
y < -4
y < \(\frac{1}{3}\)

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.

-5y + 7 < 6 - 2y
-5y < 6 - 2y - 7
-5y + 2y < 6 - 7
-3y < -1
y < \( \frac{-1}{-3} \)
y < \(\frac{1}{3}\)


4

Simplify (y + 7)(y + 7)

63% Answer Correctly
y2 - 49
y2 - 14y + 49
80
y2 + 14y + 49

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 + 7)(y + 7)
(y x y) + (y x 7) + (7 x y) + (7 x 7)
y2 + 7y + 7y + 49
y2 + 14y + 49


5

What is the area of a circle with a radius of 4?

69% Answer Correctly
16π
49π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π