Warm-Up Oct. 1 3(x + 4) (4y)2 (z + 5)2 w + 6 2 Draw an area and expression that matches the following: 3(x + 4) (4y)2 (z + 5)2 w + 6 2

Extra Practice Six less than twice a number. 6 – 2x 6 – x2 2x – 6

Extra Practice Three times the sum of a number and 5. A. 3(x + 5) B. 3x + 5 C. 3(x – 5) D. 3x – 5

Extra Practice Five less than half of a number. A. 5 – ½ x B. ½(5 – x) C. ½(x – 5) D. ½ x – 5

Extra Practice Four times the difference of a number squared and six. A. 4(2x – 6) B. 4(x2 – 6) C. 4(2x + 6) D. 4(x2 + 6)

Extra Practice Eight less than four times a number. 4x – 8 8 – 4x

Extra Practice Twice the sum of a number and seven. 2(x + 7) 2x + 7   2(x – 7) 2x – 7

Extra Practice Ten less than five times a number cubed. 5x2 – 10

Extra Practice Three times the difference of a number squared and 15. A. 3x2 – 15 B. 3(2x – 15) C. 3(x2 – 15) D. 3(15 – x2)

Extra Practice The square of a number decreased by six. A. 6 – 2x B. 6 – x2 C. 2x – 6 D. x2 – 6

Extra Practice Twice the sum of a number and five. A. 2(x + 5) B. 2x + 5 C. 2(x – 5) D. 2x – 5

Extra Practice Five less than three-fourths of a number. 5 – ¾ x   ¾ (x – 5) ¾ x – 5

Four less than the difference of a number squared and six. A Four less than the difference of a number squared and six. A. 4 – (2x – 6) B. 4 – (x2 – 6) C. (2x – 6) – 4 D. (x2 – 6) – 4

Ten less than a number cubed. A. 10 – x3 B. x3 – 10 C. 10 – 3x D Ten less than a number cubed. A. 10 – x3 B. x3 – 10 C. 10 – 3x D. 3x – 10

Are these equivalent? If not what is? (x+6)2 = x2 + 62

Are these equivalent? If not what is? (6x)2 = 6x2

Are these equivalent? If not what is? (x+3)2 = x2 + 6x + 9

Are these equivalent? 2(x+4) = 2x + 4

Are these equivalent? 3(x+2)-(x+5)= 2x+1

Word Problem Practice Jenny earns $30 a day working part time at a supermarket, plus a weekly $20. Write an algebraic expression to represent the amount of money she will earn in one week.

Word Problem Practice An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.

Word Problem Practice The students in Ms. Watts’ class are converting distances measured in miles to kilometers. To estimate the number of kilometers, Abby takes the number of miles, triples it and then subtracts 25% of the result. Renato first divides the number of miles by 4 and then multiplies the result by 3.

Word Problem Practice As Felicia gets on the freeway to drive to her cousin’s house, she notices that she is a little low on gas. There is a gas station at the exit she normally takes, and she wonders if she will have to get gas before then. She normally sets her cruise control at the speed limit of 70mph and the freeway portion of the drive takes about an hour and 15 minutes. Her car gets about 30 miles per gallon on the freeway, and gas costs $3.50 per gallon.

Word Problem Practice Describe an estimate that Felicia might do in her head while driving to decide how many gallons of gas she needs to make it to the gas station at the other end. ****Hint keep in mind when you are driving it is not reasonable for you to say you will need exactly 2.92 gallons

Word Problem Practice b) Assuming she makes it, how much does Felicia spend per mile on the freeway?

Closing Activities Multiply this by four. Find the result.

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