$$\dfrac{4}{36} \times \dfrac{128}{8} = \dfrac{4 \times 128}{36 \times 8} = \dfrac{512}{288} = \dfrac{16}{9}$$

$$\dfrac{7 \times 18}{6} = \dfrac{126}{6} = 21$$

Question 1

What is the value of the expression $$3^2 (12 - 11$$)$$?

Accepted Answer

$$9$$

Question 2

Simplify the inequality $$5(4 + 60) \u003c 80$$ and determine if it is true or false.

Accepted Answer

False, because $$5(64) = 320 \u003e 80$$

Question 3

Simplify the following: $$\dfrac{4y + 2y - 3y + 7y + 2}{9y + 2}$$

Accepted Answer

$$\dfrac{10y + 2}{9y + 2}$$

Question 4

Evaluate $$\sqrt{(-19)^2$}.$$

Accepted Answer

$$19$$

Question 5

Find the value of the expression $$\left( \dfrac{2^2$}{6^2$} \right) \div \dfrac{8}{128}.$$

Accepted Answer

$$\dfrac{4}{36} 	imes \dfrac{128}{8} = \dfrac{4 	imes 128}{36 	imes 8} = \dfrac{512}{288} = \dfrac{16}{9}$$

Question 6

If $$a = 7$$, $$b = 2$$, and $$c = 6$$, evaluate $$\dfrac{7(16 + 2)}{6}.$$

Accepted Answer

$$\dfrac{7 	imes 18}{6} = \dfrac{126}{6} = 21$$

Question 7

Which of the following best describes the process for simplifying $$4y + 2y - 3y + 7y + 2$$?

Accepted Answer

Combine like terms to get $$10y + 2$$

Question 8

Which property is used when evaluating $$\sqrt{(-19)^2$}$$?

Accepted Answer

The square root and square are inverse operations

Question 9

If $$x = 5$$, what is the value of $$x^2 - 2x + 1$?

Accepted Answer

$$25 - 10 + 1 = 16$$

Question 10

Which of the following is equivalent to $$\dfrac{2^2$}{6^2$}$$?

Accepted Answer

$$\dfrac{4}{36}$$

Step-by-Step Guidance for Mixed Review Algebra Worksheet

Study Guide - Practice Questions