1. Suppose the daughter is 12 years old. How old is the son? “In one year the man will be 6 times as old as the daughter is now and in 10 years he will be fourteen years older than the combined ages of his children...What is the man’s present age?” “I’m sorry, we are unable to complete your call...please check the number and try again!” “A Man has a daughter and a son...the son is 3 years older than the daughter..” “Problem Number 5” 1. Suppose the daughter is 12 years old. How old is the son? 2. What operation did you use to find the son’s age? Explain. 3. Suppose the comic said that the son is twice as old as the daughter. If the daughter is 12 years old, how old is the son? 4. What operation did you use to find the son’s age? Explain.

Chapter 4 Lesson 1 Objective: Write verbal phrases and sentences as simple algebraic expressions and equations

Today we are going to write verbal expressions to solve algebraic expressions

New Vocabulary Expression: a combination of variables, numbers, and at least one operation (no equal sign) Equation: a sentence, in math, that contains an equal sign

Words & Phrases Addition & Subtraction Multiplication & Division Plus Minus Sum Difference More than Less than Increased by Less In all Decreased by Times divided Product quotient Multiplied per Twice separate Each

Write a phrase as an Expression 1. Write the phrase five dollars less than Jennifer earned as an algebraic expression. Five dollars less than Jennifer earned Let d represent the number of dollars Jennifer earned d - 5

Your Turn Write each phrase as an algebraic expression. Twice as many tomatoes as last year 2t 3 more runs than the Pirates scored P + 3

Write these EXPRESSIONS 6 less than p P-6 Kelly’s age plus 6 K + 6 Twenty-six less q 26 – q 35 increased by a 35 + a

Write these EXPRESSIONS! Twice as many lemons 2l 20 more than c 20 + c X increased by 12 X +12 A product of 7 and m 7m

Write these EXPRESSIONS 19 is decreased by z 19 – z 400 divided into n N 400 8 more than x 8 + x

NOW WE ARE GOING TO WRITE EQUATIONS

IS MEANS EQUAL

Write Sentences as Equations Five more than a number is 20. Three times Jack’s age equals 12. N + 5 = 20 3J = 12

LETS WRITE EQUATIONS!! Three times number less four is 17 3x – 4 = 17 Twenty more than twice a number is -30 20 + 2n = -30 Four plus three times a number is 18 4 + 3n = 18 The difference of a number and 24 is -30 N – 24 = -30

It is estimated that 12.4 million pounds of potato chips were consumed during a recent Super Bowl. This was 3.1 million pounds more than the number of pounds of tortilla chips consumed. Write an equation that models this situation. 3.1 + t = 12.4

WHAT’S WRONG???? Six less than p 6 – p $1000 divided by z Z $1000 5 plus 4 times a number is 34 5n + 4 = 34

Skill & Concept Check Open Ended - Write a sentence that translates to the equation… n + 5 = 8 Find the Error – Antonio and Julia are writing an algebraic expression for the phrase 2 less than a number. Who is correct? Explain. Antonio 2 - n Julia n - 2

On Your Own Eight more than x x + 8 Nine less than t t - 9 The sum of a number and 4 is –9. n + 4 = -9 Twice a number equals –10. 2n = -10

Try some on your own! Page 152 numbers 11 – 25 odd

Your homework Page 152 numbers 10 – 24 even

Wrap Up What is the difference between an expression and an equation? What are some key words/phrases that help you to identify different operations?