Simplifying Expressions

Simplifying Expressions

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Distributing a Positive

• First, identify the terms inside the parentheses. These go on top of the area model.

• Next, identify the number you are distributing. This goes on the short side of the area model.

• Last, multiply each term from inside the parentheses by the term your are distributing.

Distributing a Negative

• First, identify the terms inside the parentheses. These go on top of the area model.

• Next, identify the number you are distributing. This goes on the short side of the area model.

• Last, multiply each term from inside the parentheses by the term your are distributing.

Distribute and Combine Like Terms

• First, apply the distributive property.

• Then, combine like terms.

Multiple Choice

Simplify:

4(7x+5)

• 28x+5

• 11x+9

• 7x+20

• 28x+20

Multiple Choice

-5(x-9)

• 5x+45

• 5x-45

• -5x-45

• -5x+45

Multiple Choice

Simplify:

6(7 + x) + 5x

• 6x + 13

• x + 42

• 6x + 42

• 11x + 42

​First, choose a number to substitute for x. Use the same number in both expressions. Then, solve.

​Use substitution to determine if the expressions are equivalent.

In this example, x=2. Because both expressions equal the same solution, they are equivalent.

First, choose a value to substitute for the variable.

Then, solve each expression.​

In this case, the expressions do NOT have the same solution, so the expressions are not equivalent.

Multiple Choice

Are 5x + 3(x - 2) and 8x - 6 equivalent expressions?

• Yes. They are equivalent.

• No. The expressions are not equivalent.

• I need help.

Multiple Choice

Is 3x + 4 equivalent to (x + 1) - (2x + 3)?

• Yes. They are equivalent.

• No. The expressions are not equivalent.

• I need help.

Multiple Choice

Is 4x - 8 equivalent to 2(2x - 4)?

• Yes. They are equivalent.

• No. The expressions are not equivalent.

• I need help.

Practice

Some text here about the topic of discussion

Multiple Choice

Choose the expression that is equivalent to 6(3x - 2) + 4x.

Use either method.

• 22x - 12

• 7x + 4

• 22x - 2

• 18x + 2

Multiple Choice

Which expression is equivalent to:

9(x + 2) - 4(x - 3)

• 5x + 6

• 5x - 1

• 5x - 18

• 5x + 30