1.5 Translating Sentences into Equations

• Objective: To translate word sentences into equations.

• Warm – up: – The sum of three and a number– Al earns (p + 3) dollars per hour. In 8 hours, how much

does he earn?– The quotient of n and three– Bob’s house is y years old. How old was it four years ago?– You buy (m + 5) bagels at 35 cents each. What is the cost?

1.5 Translating Sentences into Equations

Addition• Some common words that

are used to describe addition are:– Sum of– Increased by– More than

Subtraction• Some common words that

are used to describe subtraction are:– Difference – Decreased by– Less than– Minus

1.5 Translating Sentences into Equations

Multiplication• Some common words that

are used to describe multiplication are:– Product of– Times – Of

Division• Some common words that

are used to describe division are:– Quotient of – Divided by

1.5 Translating Sentences into Equations

• Twelve more than the number p is 37.

• Eight is five less than twice the number r.

• Forty decreased by the number m is 24.5.

1.5 Translating Sentences into Equations

• The quotient of the number b and 4 is eight.

• Three fourths of the number h is 192.

• The sum of one third of the number s and 12 is 23.

• The product of 7 and the sum of twice the number x and 3 is 126.

• The product of 58 and the number n is 1.

• The product of 12 and the quantity 1 less than the number d is 84.

1.5 Translating Sentences into Equations

Use the figure and the information below it to write an equation involving x.

8

7 7 x x

x 16 40Perimeter =18 Perimeter = 56

x x

20 Perimeter = 60

1.5 Translating Sentences into Equations

• A dozen eggs cost $1.19. (Cost of one egg)

• Nine days ago a new radio station had been on the air for 13 days. (Station’s age now)

• A rectangular floor is tiled with 928 square tiles. The floor is 32 tiles long. (Number of tiles in the width)

• Homework:– Pg. 20 – 22

Written Exercises #1 – 16, 17 – 29 odd