ASVAB Math Knowledge Practice Test 336598 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

Solve for x:
-5x - 8 > \( \frac{x}{3} \)

44% Answer Correctly
x > \(\frac{15}{28}\)
x > -1\(\frac{13}{22}\)
x > -1\(\frac{1}{2}\)
x > \(\frac{8}{11}\)

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.

-5x - 8 > \( \frac{x}{3} \)
3 x (-5x - 8) > x
(3 x -5x) + (3 x -8) > x
-15x - 24 > x
-15x - 24 - x > 0
-15x - x > 24
-16x > 24
x > \( \frac{24}{-16} \)
x > -1\(\frac{1}{2}\)


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

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

51% Answer Correctly
102
234
178
118

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 9) + (2 x 9 x 2) + (2 x 9 x 2)
sa = (162) + (36) + (36)
sa = 234


4

What is 3a9 + 4a9?

75% Answer Correctly
12a9
7a18
7a9
7

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.

3a9 + 4a9 = 7a9


5

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

x-axis

origin

y-axis


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.