ASVAB Math Knowledge Practice Test 105160 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

Simplify (y - 4)(y - 4)

64% Answer Correctly
y2 - 8y + 16
y2 - 16
y2 + 8y + 16
20

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 - 4)(y - 4)
(y x y) + (y x -4) + (-4 x y) + (-4 x -4)
y2 - 4y - 4y + 16
y2 - 8y + 16


2

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


3

The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope-intercept equation for this line?

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

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 -2. 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, -5) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x - 2


4

What is 3a + 9a?

81% Answer Correctly
a2
27a
12a
-6

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.

3a + 9a = 12a


5

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

right angle

parallel

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.