ASVAB Math Knowledge Practice Test 41351 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

monomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


2

Solve for a:
4a - 9 = \( \frac{a}{-3} \)

46% Answer Correctly
\(\frac{3}{4}\)
2\(\frac{1}{13}\)
-1\(\frac{2}{7}\)
\(\frac{8}{11}\)

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 equal sign and the answer on the other.

4a - 9 = \( \frac{a}{-3} \)
-3 x (4a - 9) = a
(-3 x 4a) + (-3 x -9) = a
-12a + 27 = a
-12a + 27 - a = 0
-12a - a = -27
-13a = -27
a = \( \frac{-27}{-13} \)
a = 2\(\frac{1}{13}\)


3

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

63% Answer Correctly

all interior angles are right angles

the area is length x width

the lengths of all sides are equal

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


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).


4

The dimensions of this cube are height (h) = 6, length (l) = 9, and width (w) = 8. What is the surface area?

51% Answer Correctly
160
22
348
106

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 8) + (2 x 8 x 6) + (2 x 9 x 6)
sa = (144) + (96) + (108)
sa = 348


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

\({\Delta y \over \Delta x}\)

x-intercept

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.