Pre-Algebra Simplifying Expresssions

Simplifying Expressions

Checking for understanding

Basics

1) Apply distributive property if needed

2) Combine like terms

Simplify: 5(6 + b)+4b-9

Step 1: 30 +5 b + 4b -9

Step 2: 9b+21

Fill in the Blanks

4m+12-3(2m+2)

Fill in the Blanks

15x-(10+15x)

Translating from words to expression:

You spend a total of 50 minutes talking long-distance to your friend and grandparents. It costs 4 cents per minute to call your friend and 6 cents to call your grandparents. Let t be the time you talk with your friend (in minutes). Write and expression in terms of t for the cost of both phone calls.

0.04t+0.06(50-t)

Simplify this expression

Now use the simplified expression to find the cost of the phone calls if you talk with your friend for 25 minutes.

3-0.02t

Cost of the phone call with your friend

$2.50

Fill in the Blanks

You spend a total of 25 minutes typing an email to your friend and writing a letter to your aunt. You can type 60 words per minute and hand write 20 words per minute. Let m be the number of minutes you type the e-mail to your friend. Write an expression in terms of m for the total number of words you wrote.

Fill in the Blanks

5a+8(a-6)+25

Fill in the Blanks

10(4m+1)-6m+3(12-15m)

Poll

Simplifying expressions makes me feel.....

• Fantastic!

• Pretty good!

• A little uneasy.

• You are crazy if you think I'm going to get a 100% on the quiz tomorrow.

Fill in the Blanks

Evaluate the expression you wrote if you spend 10 minutes typing the email to your friend.