ASVAB Math Knowledge Practice Test 808915 Results

Your Results Global Average
Questions 5 5
Correct 0 2.73
Score 0% 55%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r

c = π r2

c = π d

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


3

What is 2a4 - 3a4?

73% Answer Correctly
a48
-1a4
6a8
5

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.

2a4 - 3a4 = -1a4


4

Solve 3b - 9b = -5b - 3z + 6 for b in terms of z.

34% Answer Correctly
z + 1\(\frac{1}{6}\)
5z - 8
\(\frac{3}{4}\)z + \(\frac{3}{4}\)
-\(\frac{11}{12}\)z + \(\frac{1}{6}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

3b - 9z = -5b - 3z + 6
3b = -5b - 3z + 6 + 9z
3b + 5b = -3z + 6 + 9z
8b = 6z + 6
b = \( \frac{6z + 6}{8} \)
b = \( \frac{6z}{8} \) + \( \frac{6}{8} \)
b = \(\frac{3}{4}\)z + \(\frac{3}{4}\)


5

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

88% Answer Correctly

pairs

exponents

addition

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.)