ASVAB Math Knowledge Practice Test 382562 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -1\(\frac{1}{2}\)x + 1
y = -\(\frac{1}{2}\)x + 3
y = -\(\frac{1}{2}\)x - 4
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 3. 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, 4) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x + 3


2

The endpoints of this line segment are at (-2, -2) and (2, 6). What is the slope of this line?

46% Answer Correctly
3
-2
-1
2

Solution

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, -2) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


3

Simplify (6a)(2ab) + (5a2)(4b).

65% Answer Correctly
8a2b
-8ab2
32a2b
72a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(2ab) + (5a2)(4b)
(6 x 2)(a x a x b) + (5 x 4)(a2 x b)
(12)(a1+1 x b) + (20)(a2b)
12a2b + 20a2b
32a2b


4

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

3

4

2

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.


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

triangle

rhombus

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.