ASVAB Math Knowledge Practice Test 545993 Results

Your Results Global Average
Questions 5 5
Correct 0 2.67
Score 0% 53%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

all of these statements are correct

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


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.


2

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

y-intercept

\({\Delta y \over \Delta x}\)

x-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


3

Solve for z:
z2 + 2z - 8 = 0

58% Answer Correctly
3 or 1
8 or 2
2 or -4
9 or -3

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 + 2z - 8 = 0
(z - 2)(z + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 4) must equal zero:

If (z - 2) = 0, z must equal 2
If (z + 4) = 0, z must equal -4

So the solution is that z = 2 or -4


4

The dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 6. What is the surface area?

51% Answer Correctly
22
72
88
92

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 6) + (2 x 6 x 2) + (2 x 3 x 2)
sa = (36) + (24) + (12)
sa = 72


5

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

midpoints

bisects

intersects

trisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.