ASVAB Math Knowledge Practice Test 568768 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

Solve for c:
8c + 9 = -4 + 7c

59% Answer Correctly
-\(\frac{6}{7}\)
-2\(\frac{1}{4}\)
\(\frac{1}{2}\)
-13

Solution

To solve this equation, 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.

8c + 9 = -4 + 7c
8c = -4 + 7c - 9
8c - 7c = -4 - 9
c = -13


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

quadrilateral

rhombus

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

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

you can multiply monomials that have different variables and different exponents

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

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

34% Answer Correctly
6z - 7
\(\frac{5}{6}\)z - 1\(\frac{1}{6}\)
-\(\frac{3}{10}\)z - \(\frac{7}{10}\)
-\(\frac{11}{12}\)z + \(\frac{5}{12}\)

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.

9b + 6z = -3b - 5z + 5
9b = -3b - 5z + 5 - 6z
9b + 3b = -5z + 5 - 6z
12b = -11z + 5
b = \( \frac{-11z + 5}{12} \)
b = \( \frac{-11z}{12} \) + \( \frac{5}{12} \)
b = -\(\frac{11}{12}\)z + \(\frac{5}{12}\)


5

Simplify (4a)(9ab) + (8a2)(2b).

65% Answer Correctly
130ab2
20ab2
-20a2b
52a2b

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.

(4a)(9ab) + (8a2)(2b)
(4 x 9)(a x a x b) + (8 x 2)(a2 x b)
(36)(a1+1 x b) + (16)(a2b)
36a2b + 16a2b
52a2b