ASVAB Math Knowledge Practice Test 925963 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

Simplify (y + 1)(y + 1)

63% Answer Correctly
y2 + 2y + 1
y2 - 2y + 1
14
y2 - 1

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 + 1)(y + 1)
(y x y) + (y x 1) + (1 x y) + (1 x 1)
y2 + y + y + 1
y2 + 2y + 1


2

Solve for b:
2b - 9 = \( \frac{b}{-4} \)

46% Answer Correctly
-\(\frac{32}{33}\)
4
-4\(\frac{5}{19}\)
-\(\frac{20}{37}\)

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 equal sign and the answer on the other.

2b - 9 = \( \frac{b}{-4} \)
-4 x (2b - 9) = b
(-4 x 2b) + (-4 x -9) = b
-8b + 36 = b
-8b + 36 - b = 0
-8b - b = -36
-9b = -36
b = \( \frac{-36}{-9} \)
b = 4


3

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

midpoints

trisects

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the surface area?

48% Answer Correctly
140π
72π
306π
24π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 3)
sa = 2π(49) + 2π(21)
sa = (2 x 49)π + (2 x 21)π
sa = 98π + 42π
sa = 140π


5

If a = 2, b = 2, c = 7, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
17
16
21
19

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 2 + 7 + 6
p = 17