ASVAB Math Knowledge Practice Test 953920 Results

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

Review

1

What is 3a8 + 7a8?

75% Answer Correctly
21a8
10a8
-4a16
a816

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.

3a8 + 7a8 = 10a8


2

Solve for y:
y2 + + 5 = 5y - 1

48% Answer Correctly
9 or 6
8 or -7
9 or -5
2 or 3

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 + + 5 = 5y - 1
y2 + + 5 + 1 = 5y
y2 - 5y + 6 = 0
y2 - 5y + 6 = 0

Next, factor the quadratic equation:

y2 - 5y + 6 = 0
(y - 2)(y - 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 3) must equal zero:

If (y - 2) = 0, y must equal 2
If (y - 3) = 0, y must equal 3

So the solution is that y = 2 or 3


3

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


4

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

42% Answer Correctly

x-intercept

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

y-intercept

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.


5

What is the circumference of a circle with a radius of 16?

71% Answer Correctly
34π
32π
18π
13π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π