ASVAB Math Knowledge Practice Test 267225 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

radius

chord

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope-intercept equation for this line?

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

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


3

What is 7a + 6a?

81% Answer Correctly
42a2
1
13a2
13a

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.

7a + 6a = 13a


4

Simplify (5a)(5ab) + (3a2)(4b).

65% Answer Correctly
13ab2
-13ab2
-13a2b
37a2b

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.

(5a)(5ab) + (3a2)(4b)
(5 x 5)(a x a x b) + (3 x 4)(a2 x b)
(25)(a1+1 x b) + (12)(a2b)
25a2b + 12a2b
37a2b


5

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

5

4

3

2


Solution

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