ASVAB Math Knowledge Practice Test 934222 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Solve for a:
3a - 2 > \( \frac{a}{-1} \)

44% Answer Correctly
a > -\(\frac{12}{17}\)
a > -\(\frac{9}{55}\)
a > 1\(\frac{25}{39}\)
a > \(\frac{1}{2}\)

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 > sign and the answer on the other.

3a - 2 > \( \frac{a}{-1} \)
-1 x (3a - 2) > a
(-1 x 3a) + (-1 x -2) > a
-3a + 2 > a
-3a + 2 - a > 0
-3a - a > -2
-4a > -2
a > \( \frac{-2}{-4} \)
a > \(\frac{1}{2}\)


2

The endpoints of this line segment are at (-2, -4) and (2, 8). What is the slope-intercept equation for this line?

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

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 2. 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, -4) and (2, 8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3

Plugging these values into the slope-intercept equation:

y = 3x + 2


3

Which of the following expressions contains exactly two terms?

83% Answer Correctly

monomial

quadratic

binomial

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

triangle

rhombus

quadrilateral

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


5

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

78% Answer Correctly

a = π d2

a = π r2

a = π d

a = π r


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.