ASVAB Math Knowledge Practice Test 698448 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

Solve for b:
-9b - 7 > \( \frac{b}{-2} \)

44% Answer Correctly
b > 3\(\frac{3}{20}\)
b > 1\(\frac{1}{53}\)
b > -\(\frac{14}{17}\)
b > \(\frac{12}{13}\)

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.

-9b - 7 > \( \frac{b}{-2} \)
-2 x (-9b - 7) > b
(-2 x -9b) + (-2 x -7) > b
18b + 14 > b
18b + 14 - b > 0
18b - b > -14
17b > -14
b > \( \frac{-14}{17} \)
b > -\(\frac{14}{17}\)


2

Simplify (y + 8)(y + 4)

63% Answer Correctly
y2 + 4y - 32
y2 - 12y + 32
y2 + 12y + 32
y2 - 4y - 32

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 + 8)(y + 4)
(y x y) + (y x 4) + (8 x y) + (8 x 4)
y2 + 4y + 8y + 32
y2 + 12y + 32


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

acute, obtuse

vertical, supplementary

obtuse, acute

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

What is 6a4 - 3a4?

73% Answer Correctly
18a8
9a8
3a4
18a4

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.

6a4 - 3a4 = 3a4


5

The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the surface area?

48% Answer Correctly
44π
16π
18π
156π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 8)
sa = 2π(1) + 2π(8)
sa = (2 x 1)π + (2 x 8)π
sa = 2π + 16π
sa = 18π