ASVAB Math Knowledge Practice Test 132454 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

What is 4a7 - 8a7?

74% Answer Correctly
12
32a14
-4a14
-4a7

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 - 8a7 = -4a7


2

On this circle, line segment AB is the:

71% Answer Correctly

diameter

radius

chord

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Solve for y:
y2 - 26 = -y + 4

49% Answer Correctly
8 or 5
4 or -3
5 or -6
1 or -4

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 - 26 = -y + 4
y2 - 26 - 4 = -y
y2 + + y - 30 = 0
y2 + y - 30 = 0

Next, factor the quadratic equation:

y2 + y - 30 = 0
(y - 5)(y + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y + 6) must equal zero:

If (y - 5) = 0, y must equal 5
If (y + 6) = 0, y must equal -6

So the solution is that y = 5 or -6


4

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

63% Answer Correctly

the area is length x width

all interior angles are right angles

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

the lengths of all sides are equal


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).


5

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

91% Answer Correctly

addition

exponents

pairs

division


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.)