ASVAB Math Knowledge Practice Test 566727 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

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

63% Answer Correctly

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

all interior angles are right angles

the area is length x width

the lengths of all sides are equal


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).


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

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


3

The endpoints of this line segment are at (-2, 0) and (2, -8). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -3x + 2
y = -2x - 4
y = -3x - 2
y = -1\(\frac{1}{2}\)x + 3

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x - 4


4

Simplify (y + 9)(y - 8)

63% Answer Correctly
y2 - 17y + 72
y2 + y - 72
y2 - y - 72
y2 + 17y + 72

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 + 9)(y - 8)
(y x y) + (y x -8) + (9 x y) + (9 x -8)
y2 - 8y + 9y - 72
y2 + y - 72


5

What is 9a2 - 3a2?

73% Answer Correctly
12
6a2
27a2
27a4

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.

9a2 - 3a2 = 6a2