ASVAB Math Knowledge Practice Test 722371 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

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

63% Answer Correctly

the lengths of all sides are equal

all interior angles are right angles

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

the area is length x width


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).


2

Simplify 6a x 8b.

85% Answer Correctly
14ab
48\( \frac{a}{b} \)
48ab
48a2b2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

6a x 8b = (6 x 8) (a x b) = 48ab


3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


4

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

expression

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


5

Find the value of a:
6a + x = -3
-3a - 6x = -9

42% Answer Correctly
-\(\frac{19}{21}\)
-\(\frac{17}{30}\)
-\(\frac{9}{11}\)
2\(\frac{1}{5}\)

Solution

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

6a + x = -3
x = -3 - 6a

then substitute the result (-3 - 6a) into the second equation:

-3a - 6(-3 - 6a) = -9
-3a + (-6 x -3) + (-6 x -6a) = -9
-3a + 18 + 36a = -9
-3a + 36a = -9 - 18
33a = -27
a = \( \frac{-27}{33} \)
a = -\(\frac{9}{11}\)