ASVAB Math Knowledge Practice Test 854650 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

4

2

5

3


Solution

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


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

Simplify (7a)(7ab) - (3a2)(5b).

59% Answer Correctly
112a2b
-34ab2
112ab2
34a2b

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.

(7a)(7ab) - (3a2)(5b)
(7 x 7)(a x a x b) - (3 x 5)(a2 x b)
(49)(a1+1 x b) - (15)(a2b)
49a2b - 15a2b
34a2b


4

What is 2a9 - 2a9?

73% Answer Correctly
0a9
a918
18
0

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.

2a9 - 2a9 = 0a9


5

Simplify (3a)(6ab) + (6a2)(9b).

65% Answer Correctly
36a2b
72a2b
135ab2
-36ab2

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.

(3a)(6ab) + (6a2)(9b)
(3 x 6)(a x a x b) + (6 x 9)(a2 x b)
(18)(a1+1 x b) + (54)(a2b)
18a2b + 54a2b
72a2b