ASVAB Math Knowledge Practice Test 233027 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

Simplify (2a)(7ab) + (2a2)(6b).

65% Answer Correctly
26ab2
-2a2b
2a2b
26a2b

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.

(2a)(7ab) + (2a2)(6b)
(2 x 7)(a x a x b) + (2 x 6)(a2 x b)
(14)(a1+1 x b) + (12)(a2b)
14a2b + 12a2b
26a2b


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

h2 x l2 x w2

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

What is 7a + 3a?

81% Answer Correctly
a2
10a
10a2
10

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 + 3a = 10a


4

The endpoints of this line segment are at (-2, -6) and (2, 4). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 2\(\frac{1}{2}\)x - 1
y = -1\(\frac{1}{2}\)x - 4
y = -1\(\frac{1}{2}\)x - 3
y = 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 -1. 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, -6) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


5

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

49% Answer Correctly

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

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


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).