ASVAB Math Knowledge Practice Test 813562 Results

Your Results Global Average
Questions 5 5
Correct 0 3.52
Score 0% 70%

Review

1

Solve for x:
x2 - 3x - 16 = -x - 1

49% Answer Correctly
-6 or -8
8 or -2
4 or -9
-3 or 5

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:

x2 - 3x - 16 = -x - 1
x2 - 3x - 16 + 1 = -x
x2 - 3x + x - 15 = 0
x2 - 2x - 15 = 0

Next, factor the quadratic equation:

x2 - 2x - 15 = 0
(x + 3)(x - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x - 5) must equal zero:

If (x + 3) = 0, x must equal -3
If (x - 5) = 0, x must equal 5

So the solution is that x = -3 or 5


2

What is 4a7 + 6a7?

76% Answer Correctly
-2a14
-2
10a7
24a14

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a7 + 6a7 = 10a7


3

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

parallel

right angle

equal angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

92% Answer Correctly

division

pairs

exponents

addition


Solution

When solving an equation with two variables, 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.)


5

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal

the area is length x width

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).