ASVAB Math Knowledge Practice Test 590467 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

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

41% Answer Correctly
y = -\(\frac{1}{2}\)x + 3
y = -\(\frac{1}{2}\)x - 1
y = -x + 0
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 0. 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, 2) and (2, -2) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

y = -x + 0


2

Find the value of c:
-2c + z = 7
-9c + 4z = -3

42% Answer Correctly
-1\(\frac{4}{11}\)
31
\(\frac{19}{27}\)
-1\(\frac{17}{27}\)

Solution

You need to find the value of c so solve the first equation in terms of z:

-2c + z = 7
z = 7 + 2c

then substitute the result (7 - -2c) into the second equation:

-9c + 4(7 + 2c) = -3
-9c + (4 x 7) + (4 x 2c) = -3
-9c + 28 + 8c = -3
-9c + 8c = -3 - 28
-c = -31
c = \( \frac{-31}{-1} \)
c = 31


3

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

formula

expression

equation

problem


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


4

What is 8a - 3a?

80% Answer Correctly
24a2
5a
5a2
24a

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.

8a - 3a = 5a


5

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

diameter

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).