**ALGEBRAIC EXPRESSIONS**

**Review**

**Variable - is a**

letter

or

symbol

that represents an unknown quantity.

letter

or

symbol

that represents an unknown quantity.

Algebraic Expressions

You can use

algebraic expressions

to explain a relationship between

quantities.

Words that Lead to Addition

Add

Addition

Sum

Plus

Increases

Words that Lead to Division

Divide

Division

Quotient

Goes Into

How Many Times

Algebraic Expression

- contains at least

one

variable and does not contain an

equal

sign.

Algebraic Expressions

Since an algebraic expression contains a

variable

, we can evaluate the expression if we are given what

the variable equals.

Words that Lead to Subtraction

Subtract

Subtraction

Minus

Less

Difference

Words that Lead to Multiplication

Multiply

Multiplication

Product

By

Times

Example: T + 3

Example: If m = 8, solve the expression m + 5.

m + 5

8 + 5

13

Example: Her math grade decreased by 6 points. Let g represent her math grade.

g - 6

More Than

Altogether

Total

Decreases

Take Away

Deduct

Practice Problems

1. Five plus y

2. 6 times q

3. 2 less than x

Answers

1. Five plus y

2. 6 times q

3. 2 less than x

5 + y

6q

x - 2

More Practice Problems

4. Evaluate 7y, when y = 2.

5. Evaluate 6 -w, when w = 1.

Answers

4. Evaluate 7y, when y = 2.

14

5. Evaluate 6 -w, when w = 1.

5

Write Algebraic Expressions for These Word Phrases

Ten more than a number

A number decreased by 5

6 less than a number

A number increased by 8

The sum of a number and 9

4 more than a number

Write Algebraic Expressions for These Word Phrases

A number "s" plus 2

A number decreased by 1

31 less than a number

A number "b" increased by 7

The sum of a number and 6

9 more than a number

A number "s" plus 2

s + 2

A number decreased by 1

k - 1

31 less than a number

x - 31

A number "b" increased by 7

b + 7

The sum of a number and 6

n + 6

9 more than a number

z + 9

Answers

Write an Algebraic Expression for These Situations

Scott's brother is 2 years younger than Scott

The sum of two numbers is 12

The difference between two numbers is 5

Answers

Scott's brother is 2 years younger than Scott

s - 2

The sum of two numbers is 12

v + c = 12

The difference between two numbers is 5

m - n = 5

Write an Algebraic Expression for These Situations

A cake will serve 12 people. Write an expression for how many people will "C" cakes serve.

The drama club sold 60 more tickets on Saturday than on Friday (f). Write an expression for the number of tickets sold on Saturday.

Answers

A cake will serve 12 people. Write an expression for how many people will "C" cakes serve.

12c

The drama club sold 60 more tickets on Saturday than on Friday (f). Write an expression for the number of tickets sold on Saturday.

f + 60

Whole Class Practice

Solve the following expressions if p = 5 and w = 6.

1) 7 + p

2) 5p + 4w

3) (p +w) + p

2

4) 2w - p