ASVAB Math Knowledge Practice Test 670022 Results

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

Review

1

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

right angle

equal angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


2

The endpoints of this line segment are at (-2, 8) and (2, -2). What is the slope-intercept equation for this line?

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

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


3

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


4

Simplify (3a)(9ab) + (4a2)(8b).

65% Answer Correctly
-5a2b
59a2b
5a2b
5ab2

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)(9ab) + (4a2)(8b)
(3 x 9)(a x a x b) + (4 x 8)(a2 x b)
(27)(a1+1 x b) + (32)(a2b)
27a2b + 32a2b
59a2b


5

This diagram represents two parallel lines with a transversal. If z° = 16, what is the value of w°?

73% Answer Correctly
157
140
38
16

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 16, the value of w° is 16.