ASVAB Math Knowledge Practice Test 211648 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

The endpoints of this line segment are at (-2, 4) and (2, 0). What is the slope of this line?

46% Answer Correctly
-\(\frac{1}{2}\)
1\(\frac{1}{2}\)
-1
-3

Solution

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, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1


2

Solve for b:
7b + 4 > 1 + 3b

55% Answer Correctly
b > \(\frac{2}{7}\)
b > -7
b > 1\(\frac{1}{2}\)
b > -\(\frac{3}{4}\)

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.

7b + 4 > 1 + 3b
7b > 1 + 3b - 4
7b - 3b > 1 - 4
4b > -3
b > \( \frac{-3}{4} \)
b > -\(\frac{3}{4}\)


3

Solve for y:
y2 + 9y - 6 = 5y - 1

49% Answer Correctly
2 or -8
7 or -9
1 or -5
8 or -9

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 + 9y - 6 = 5y - 1
y2 + 9y - 6 + 1 = 5y
y2 + 9y - 5y - 5 = 0
y2 + 4y - 5 = 0

Next, factor the quadratic equation:

y2 + 4y - 5 = 0
(y - 1)(y + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 5) must equal zero:

If (y - 1) = 0, y must equal 1
If (y + 5) = 0, y must equal -5

So the solution is that y = 1 or -5


4

A right angle measures:

91% Answer Correctly

360°

180°

90°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.