ASVAB Math Knowledge Practice Test 746778 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

What is 4a + 6a?

81% Answer Correctly
a2
10a
10a2
10

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.

4a + 6a = 10a


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

y-axis

x-axis

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

The dimensions of this cube are height (h) = 1, length (l) = 4, and width (w) = 7. What is the surface area?

51% Answer Correctly
232
166
32
78

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 4 x 7) + (2 x 7 x 1) + (2 x 4 x 1)
sa = (56) + (14) + (8)
sa = 78


4

Solve for y:
y2 + 6y - 27 = 0

58% Answer Correctly
-1 or -8
9 or 6
9 or -6
3 or -9

Solution

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

y2 + 6y - 27 = 0
(y - 3)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y + 9) must equal zero:

If (y - 3) = 0, y must equal 3
If (y + 9) = 0, y must equal -9

So the solution is that y = 3 or -9


5

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

69% Answer Correctly
49π
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π