ASVAB Math Knowledge Practice Test 853547 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

The endpoints of this line segment are at (-2, -3) and (2, 3). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x + 1
y = -3x - 4
y = 2x - 2
y = 1\(\frac{1}{2}\)x + 0

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, -3) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x + 0


2

Solve for y:
-4y - 9 = \( \frac{y}{9} \)

46% Answer Correctly
\(\frac{64}{65}\)
-\(\frac{7}{11}\)
5
-2\(\frac{7}{37}\)

Solution

To solve this equation, 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.

-4y - 9 = \( \frac{y}{9} \)
9 x (-4y - 9) = y
(9 x -4y) + (9 x -9) = y
-36y - 81 = y
-36y - 81 - y = 0
-36y - y = 81
-37y = 81
y = \( \frac{81}{-37} \)
y = -2\(\frac{7}{37}\)


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

addition

pairs

exponents

division


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

5

4

3

2


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.