WARM UP

1. An expression that has only numbers and operations is a _______________________ expression.

2. Simplify .

3. Simplify .

4. Simplify .

5. Which value is equivalent to ?

A QUICK NOTE…

• We are officially at MIDTERM!

• Parent/Teacher conferences are coming soon (October 2)

• If you have a D or an F I will be emailing your parents soon.

• If you are getting less than an 80% on homework, you need to make corrections.

• Above an 80% (which is a B-) you may choose whether to make corrections.

• 24 out of 30 is an 80%

LESSON 17, TRANSLATING

BETWEEN WORDS AND ALGEBRAIC

EXPRESSIONSEXPRESSIONS AN EQUATIONS

Translating Words and Phrases into Algebraic ExpressionsWords Phrases Expressions

AdditionSum, total, more than, increased, plus, added

4 added to a number7 increased by a number

SubtractionLess, minus, decreased

by, difference, less than, subtracted from

The difference of 5 and a number

8 less than a number

MultiplicationProduct, times, multiplied, of

The product of a number and 12

A number times 3Division

Quotient, divided by, divided into

The quotient of a number and 6

10 divided by a number

EXAMPLE

Write an algebraic expression for each phrase.

a. increased by 12

b. The product of and 4

c. 8 less than the quotient of and 15

d. James is 6 years younger than Lydia, who is years old. Write the expression that shows James’s age.

EXAMPLE

Use words to write each algebraic expression in two different ways.

EXAMPLE

EXAMPLE

Jayne is saving money to buy a car. She has dollars saved and is saving dollars per week. Write an algebraic expression to represent the total amount of money she will have saved after 52 weeks.

VOCABULARY

• Terms that have the same variable (or variables) raised to the same power are like terms.

• We can simplify expressions by combining like terms.

EXAMPLE

Simplify each expression.

EXAMPLE

Simplify each expression.

EXAMPLE

Olympic competition offers three equestrian disciplines: dressage, show jumping, and endurance. The diagram represents the measurements for a regulation dressage arena. Find the perimeter as a simplified variable expression. Then evaluate the expression for meters

3 𝑥+3

𝑥−1

CORRECTING HOMEWORK

• Be kind.

• Hold questions until the end.

• Write “C.B. ____________” with your name.

• If the paper in front of you is not in pencil or black ink hand it back to its owner.

HOMEWORK

• 1st and 2nd hour: Lesson 18 #1-30

• 3rd hour: Lesson 18 #1-30 even