ASVAB Math Knowledge Practice Test 28088 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.50
Score	0%	70%

Review

A coordinate grid is composed of which of the following?

91% Answer Correctly

	x-axis
	y-axis
	all of these
	origin

Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

Find the value of c:
-7c + z = -5
-9c + 7z = 3

42% Answer Correctly

	\(\frac{19}{20}\)
	-3\(\frac{7}{9}\)
	\(\frac{2}{11}\)
	1

Solution

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

-7c + z = -5
z = -5 + 7c

then substitute the result (-5 - -7c) into the second equation:

-9c + 7(-5 + 7c) = 3
-9c + (7 x -5) + (7 x 7c) = 3
-9c - 35 + 49c = 3
-9c + 49c = 3 + 35
40c = 38
c = \( \frac{38}{40} \)
c = \(\frac{19}{20}\)

If a = c = 8, b = d = 6, what is the area of this rectangle?

80% Answer Correctly

	5
	36
	48
	18

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 8 x 6
a = 48

If BD = 17 and AD = 21, AB = ?

76% Answer Correctly

	17
	5
	10
	4

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 21 - 17
AB = 4

Solve for x:
x² - 14x + 48 = 0

58% Answer Correctly

	6 or 8
	3 or -6
	6 or 2
	-5 or -6

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x² - 14x + 48 = 0
(x - 6)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 6) or (x - 8) must equal zero:

If (x - 6) = 0, x must equal 6
If (x - 8) = 0, x must equal 8

So the solution is that x = 6 or 8