ASVAB Math Knowledge Practice Test 831135 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

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

41% Answer Correctly
y = 2x + 0
y = -\(\frac{1}{2}\)x + 0
y = 3x - 2
y = -\(\frac{1}{2}\)x - 1

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

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

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x + 0


2

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

50% Answer Correctly

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

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral

the area of a parallelogram is base x height


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

Simplify (y - 6)(y - 3)

64% Answer Correctly
y2 + 3y - 18
y2 + 9y + 18
y2 - 9y + 18
y2 - 3y - 18

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 - 6)(y - 3)
(y x y) + (y x -3) + (-6 x y) + (-6 x -3)
y2 - 3y - 6y + 18
y2 - 9y + 18


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, right, obtuse

right, acute, obtuse

acute, obtuse, right

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

2

4

3

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.