ASVAB Math Knowledge Practice Test 40298 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.67
Score	0%	53%

Review

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

41% Answer Correctly

	y = 1\(\frac{1}{2}\)x + 0
	y = -3x + 2
	y = \(\frac{1}{2}\)x - 4
	y = -\(\frac{1}{2}\)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, 8) and (2, -4) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

y = -3x + 2

Solve for y:
9y - 2 > \( \frac{y}{1} \)

45% Answer Correctly

	y > 3\(\frac{12}{17}\)
	y > 1\(\frac{13}{41}\)
	y > \(\frac{1}{4}\)
	y > 1

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.

9y - 2 > \( \frac{y}{1} \)
1 x (9y - 2) > y
(1 x 9y) + (1 x -2) > y
9y - 2 > y
9y - 2 - y > 0
9y - y > 2
8y > 2
y > \( \frac{2}{8} \)
y > \(\frac{1}{4}\)

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

	a parallelogram is a quadrilateral
	opposite sides and adjacent angles are equal
	the area of a parallelogram is base x height
	the perimeter of a parallelogram is the sum of the lengths of all sides

Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

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

78% Answer Correctly

	a = π r²
	a = π d
	a = π d²
	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.

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

52% Answer Correctly

	trapezoid
	rhombus
	quadrilateral
	triangle

Solution

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