ASVAB Math Knowledge Practice Test 864340 Results

Your Results Global Average
Questions 5 5
Correct 0 2.53
Score 0% 51%

Review

1

Solve for y:
y2 - 11y + 18 = 0

58% Answer Correctly
2 or 9
6 or 4
-2 or -3
9 or -3

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 - 11y + 18 = 0
(y - 2)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 9) must equal zero:

If (y - 2) = 0, y must equal 2
If (y - 9) = 0, y must equal 9

So the solution is that y = 2 or 9


2

The dimensions of this cube are height (h) = 4, length (l) = 9, and width (w) = 2. What is the surface area?

51% Answer Correctly
158
124
34
212

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 9 x 2) + (2 x 2 x 4) + (2 x 9 x 4)
sa = (36) + (16) + (72)
sa = 124


3

The dimensions of this cylinder are height (h) = 5 and radius (r) = 4. What is the volume?

62% Answer Correctly
80π
256π
405π
16π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 5)
v = 80π


4

Solve for z:
-8z - 7 = -8 - 7z

59% Answer Correctly
1\(\frac{2}{5}\)
\(\frac{1}{4}\)
1
-\(\frac{2}{7}\)

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.

-8z - 7 = -8 - 7z
-8z = -8 - 7z + 7
-8z + 7z = -8 + 7
-z = -1
z = \( \frac{-1}{-1} \)
z = 1


5

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r2

c = π r

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.