ASVAB Math Knowledge Practice Test 708097 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

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

70% Answer Correctly

parallel

right angle

equal length

equal angle


Solution

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


2

Solve for y:
y2 - 5y + 4 = 0

58% Answer Correctly
-1 or -4
-1 or -8
1 or 4
5 or 1

Solution

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

y2 - 5y + 4 = 0
(y - 1)(y - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y - 4) must equal zero:

If (y - 1) = 0, y must equal 1
If (y - 4) = 0, y must equal 4

So the solution is that y = 1 or 4


3

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

42% Answer Correctly

x-intercept

y-intercept

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

slope


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.


4

If the base of this triangle is 9 and the height is 4, what is the area?

58% Answer Correctly
36
22\(\frac{1}{2}\)
82\(\frac{1}{2}\)
18

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 4 = \( \frac{36}{2} \) = 18


5

What is 7a + 7a?

81% Answer Correctly
49a
14a
2
a2

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 + 7a = 14a