ASVAB Math Knowledge Practice Test 871247 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

If b = -8 and x = -8, what is the value of -4b(b - x)?

69% Answer Correctly
0
-420
400
330

Solution

To solve this equation, 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.)

-4b(b - x)
-4(-8)(-8 + 8)
-4(-8)(0)
(32)(0)
0


2

A coordinate grid is composed of which of the following?

92% Answer Correctly

y-axis

all of these

origin

x-axis


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.


3

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

55% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles 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.


4

Solve for a:
a2 + 14a + 10 = 4a + 1

49% Answer Correctly
7 or -3
-1 or -9
2 or -5
7 or -8

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:

a2 + 14a + 10 = 4a + 1
a2 + 14a + 10 - 1 = 4a
a2 + 14a - 4a + 9 = 0
a2 + 10a + 9 = 0

Next, factor the quadratic equation:

a2 + 10a + 9 = 0
(a + 1)(a + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a + 9) must equal zero:

If (a + 1) = 0, a must equal -1
If (a + 9) = 0, a must equal -9

So the solution is that a = -1 or -9


5

Find the value of a:
-7a + y = 6
-5a - 4y = -5

42% Answer Correctly
\(\frac{20}{21}\)
\(\frac{1}{37}\)
-1\(\frac{5}{11}\)
-\(\frac{19}{33}\)

Solution

You need to find the value of a so solve the first equation in terms of y:

-7a + y = 6
y = 6 + 7a

then substitute the result (6 - -7a) into the second equation:

-5a - 4(6 + 7a) = -5
-5a + (-4 x 6) + (-4 x 7a) = -5
-5a - 24 - 28a = -5
-5a - 28a = -5 + 24
-33a = 19
a = \( \frac{19}{-33} \)
a = -\(\frac{19}{33}\)