Expressions and Equations Review

Chapter 7 Review

by Hanna Costello

​Expressions vs. Equations

Multiple Choice

Simplify the following expression:

n -10 +9n -3

• -3
• 9n-3
• n
• 10n -13

Multiple Choice

Use the distributive property to simplify the following expression:

5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

​Solving Equations

​GOAL: isolate the variable (get the variable by itself)

​

​STEPS TO SOLVE:

​1. Use inverse operations 

• Addition and subtraction

• Multiplication and division 

2. Whatever operation you do to one side, you must do to the other side

3. Check your answer by plugging the x-value back in to the original equation

Multiple Select

What are the two basic rules for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always use inverse operations

Multiple Choice

What is one difference between an algebraic expression and an equation?

• Algebraic expressions do not have variables, but equations do have variables

• Expressions and equations are not different

• Expressions do not have an equal sign and equations need to have an equal sign

• Expressions need to have an equal sign and equations do not have an equal sign

Multiple Choice

Solve:

2x = -16

• -8

• $$\frac{1}{8}$$

• 8

• $$\frac{-1}{8}$$

Multiple Choice

Solve:

y + 9 = -10

• 1

• -1

• 19

• -19

​Writing Expressions and Equations from Word Problems

​*Look for clue words that help you determine which operation should be used.

​*Phrases such as, "equals", "is", and "is equal to" indicate an equation rather than an expression

Multiple Choice

twice a number plus 8

• 2 + 8a

• 8 - 2a

• 2a + 8

• $$\frac{a}{2}$$ + 8

Multiple Choice

The sum of a number k and a number j reduced by 10

• k + j - 10

• (k + j) + 10

• (k - j) - 10

• (k + j) - 10