WB pg 1 - Weebly

Module 11 Workbook in SMART.notebook

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WB pg 41. 3x + 3y + xy – 6xy + 5x + (‐4y)

Step 1: Separate the terms into families.

X y xy

Step 2: Add the terms in each family.

Step 3: Place a plus sign between each family.

Final Answer: _________________________________

2. 12p + 4pd – 2p + 6pd

Step 1: Separate the terms into families.

p pd



Final Answer: _________________________________

3. 2x + 3xy + 4x + 5xy + 6x

Step 1: Separate the terms into families. X xy



Final Answer: _________________________________


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WB pg 5 4. 4x – 2x + 6xy + 21x – 9xy ‐ 9

Step 1: X xy Constants

Step 2:

Step 3: Final Answer: _________________________________

5. ‐3n + 12 – 4n

Step 1: n Constants

Step 2:


6. 5e + 6ed + 5d – 7ed + 7

Step 1: e ed d Constants

Step 2:


7. 3xy + 13xy – 12xy

Step 1: xy

Step 2:


WB pg 6 8. 2r + 4ry ‐5r + 3x – 4ry

Step 1: r ry x

Step 2:


9. 10ax – 2ax + 12x – 2a + (‐2x)

Step 1: ax x a

Step 2:


10. 7a + a – 2a + 3ab – ab + 2ab

Step 1: a ab

Step 2:



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WB pg 7 1) 7x2 + 6x + 5y2+ 15 +8x2 – 4y2 2) ‐ 3g4 + 6 + 7g4 – 20 + 9g2 – 4g2

3) 4m3 + 10m – 60 + 25m3 + 3m +10 4) ‐5w6 +4w – 12 + 7w6 – 4w + 7w6

5) ‐4x4 + 3y4 – 6x4 + 3x + 8y4+ 9y – 10x 6) 25g2h2 ‐ 6g2 h2 – 3h + 4g + 2h – 3g

Welcome Back Today's Date: January 5, 2015Today's Topic: Review of Simplifying Terms and Solving OneStep EquationsToday's WarmUp:


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WB pg 9 1) 7x + 4y + 8(6x + 5y) 2) ‐4( 3g + 6) + 7g – 20

3) 5( 3m + 10) – 60 + 25m + 3m 4) ‐3(‐5w +4) – 12 + 7w – 4f + 7f

5) 7(‐4x + 3y) – 6x + 2(3x + 8y) 6) 9gh + gh – 3h + 4g + 3(2h+3g)

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January 05, 2015WB pg 11

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January 05, 2015Pgs 1516

1a) Ashley went to Target and bought a purse. The purse was originally $45.50. She had a 20% off coupon. How much was the purse aer her discount?

2a) Maggie went to Kohls and bought a shirt. The shirt was originally $42.10. She has a coupon for a 15% discount. How much was the shirt aer the discount?

1b) Ashley then bought a wallet for x dollars.She had a 20% discount. Write an expression for how much Ashley would pay for the wallet.

2b) Maggie then bought a skirt for x dollars. The skirt had a 15% discount. Write an expression for how much Maggie would pay for the skirt.

1c) Write another expression for part b.

(Hint: COMBINE LIKE TERMS!!!!!)


1d) If the wallet was originally $25, which expression would be easiest to use in the store to calculate how much you would pay for the wallet aer the discount? Use that expression to calculate the cost of the wallet.

2d) If the skirt was originally $36, which expression would be easiest to use in the store to calculate how much you would pay for the skirt aer the discount? Use that expression to calculate the cost of the skirt.

3a) Jake is the owner of a sporng goods store. He decides to mark up each of his items by 20%. If a football originally costs him $15, what is the new price aer the mark‐up?

4a) Tyler is the owner of an ice cream shop. He decides to mark up each item on his menu by 15%. If a single scoop of ice cream inially cost $4, what is the new price aer the mark‐up?

3b) If a hockey sck is represented as x dollars, write an expression that would represent the mark‐up of 20%.

4b) If a banana split is represented as x dollars, write an expression that would represent the mark‐up of 15%




3d) If the hockey sck was originally $25, which expression would be easiest to calculate how much the hock sck now costs? Use that expression to calculate the cost of the hockey sck.

4d) If the banana split was originally $3, which expression would be easiest to use to calculate how much the banana split would cost aer the mark‐up? Use that expression to calculate the new cost of the banana split.

Pg 17181a) Mike went to Best Buy and bought a video game. The game was originally $48. He had a 25% off coupon. How much was the game aer his discount?

2a) Alasia went to Kohls and bought a dress. The dress was originally $25. She has a coupon for a 15% discount. How much was the dress aer the discount?

1b) Mike then bought a controller for x dollars. He had a 25% discount. Write an expression for how much Mike would pay for the controller.

2b) Alasia then bought a skirt for x dollars. The skirt had a 10% discount. Write an expression for how much Maggie would pay for the skirt.




1d) If the controller was originally $30, which expression would be easiest to use in the store to calculate how much you would pay for the wallet aer the discount? Use that expression to calculate the cost of the controller.

2d) If the skirt was originally $36, which expression would be easiest to use in the store to calculate how much you would pay for the skirt aer the discount? Use that expression to calculate the cost of the skirt.

3a) Kate is the owner of a shoe store. She decides to mark up each of her items by 75%. If a pair of sandals originally costs her $15, what is the new price aer the mark‐up?

4a) Diamond is the owner of an ice cream shop. She decides to mark up each item on her menu by 20%. If a single scoop of ice cream inially cost $3, what is the new price aer the mark‐up?

3b) If a pair of dress shoes is represented as x dollars, write an expression that would represent the mark‐up of 75%.

4b) If a chocolate sundae is represented as x dollars, write an expression that would represent the mark‐up of 20%.




3d) If the pair of dress shoes was originally $11, which expression would be easiest to calculate how much the shoes now cost? Use that expression to calculate the cost of the shoes.

4d) If the chocolate Sundae was originally $4, which expression would be easiest to use to calculate how much the chocolate sundae costs aer the mark‐up? Use that expression to calculate the new cost of the chocolate sundae.


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WB pg 20Part 3

1) Which cost is greater: The inial costs or the addional expenses?

2) By how much?

3) Jusfy your answer by wring and evaluang an expression for the difference between the inial costs and the addional costs.


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Notes: Solving ONE‐Step Equaons


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WB pg 22Word Problems:

1) Ben and Bob found some money in the couch. They split the money evenly, each geng $17.50. How much money did they find? Set up an equaon, solve it and check it.

2) Alasia deposited $27 into her checking account. If her ending balance was $4,560, how much did she have in her account before the deposit? Set up an equaon, solve it and check it!

3) Trequan withdrew $145.60 from his checking account. If his ending balance was $842.30, how much did he have in his account before the withdrawal ? Set up an equaon, solve it and check it.

WB pg 23Wring and Solving one‐step Equaons

1) Write the following equaon then solve and check: The product of a 5 and a number equals 40.

2) Sandy and Joan found some money under the couch. They split the money evenly, each geng $32. How much money did they find? Set up an equaon, solve it and check it!

3) Each pineapple costs $3. If Maggie spent a total of $87, how many pineapples did she purchase? Set up an equaon, solve it and check it!

4) Roberta deposited $87 into her checking account. If her ending balance was $240, how much did she have in her account before the deposit? Set up an equaon, solve it and check it!

5) Gary withdrew $136.45 from his checking account. If his ending balance was $572.50, how much did he have in his account before the withdrawal? Set up an equaon, solve it and check it!


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WB pg 246) Amy went to the fair and bought ckets to ride rides. If each cket cost her $0.50 and she spent a total of $15.50 how many ckets did she buy? Write an equaon, solve, and check.

7) Twenty‐seven students le the cafeteria which le 157 students in the cafeteria. How many students were in the cafeteria originally? Write an equaon, solve and check!

8) Each pie gets cut into 8 pieces. If there was enough pie to serve 512 people, how many pies were served? Write an equaon, solve, and check!

9) Abby earns $8 an hour helping her grandmother. How many hours does she need to work in order to earn $128? Set up an equaon, solve, and check!

10) A race car can travel at a rate of 210 miles per hour. At this rate, how long would it take to travel 840 miles? Set up an equaon, solve and check!

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Open Circle The soluon set DOES NOT include the number

Closed Circle The soluon set DOES include the number

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WB pg 48Pracce wring and solving inequalies

1. A box weighs 1 pound. It is filled with books that weigh 2 pounds each. Jesse can carry at most 20 pounds. Assuming space is not an issue, write and solve an inequality to find how many books he can put in the box and sll carry it.

2. A box weighs 2 pounds. It is filled with toys that weigh ½ pound each. Danielle can carry at most 30 pounds. How many toys can she put in the box and sll carry it?

3. Julia has $80. She purchases a nail paint set for $16. She spends the rest of the money on earrings. Each pair of earrings costs $8. Write and solve an inequality for the number of pairs of earrings she can purchase.

4. Chrisna goes to the market with $50. She buys one papaya for $20 and spends the rest of the money on bananas. Bananas cost $0.39 per pound. Write and solve an inequality for the number of pounds of bananas she can purchase.


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5. Billy goes to the store. He has $140. He wants to purchase a leather jacket for $45, a hat for $10, and the rest on jeans. Each pair of jeans cost $35. Write and solve an inequality for the number of jeans he can purchase. How much money will he have le aer his purchase?

6. Rebecca bought one goldfish for $32 and one star fish for $12. She spends the rest of her money on guppy fish. She starts with $80. Each guppy costs $5.50. Write and solve an inequality for the number of guppies she can purchase.

7. Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes a football, baseball, soccer ball, and basketball. This complete boxed set costs $50. Jonathan has $15 he saved from his birthday. In order to make more money, he plans to wash neighbors’ windows. He plans to charge $3 for each window he washes, and any extra money he makes beyond $50 he can use to buy the addional accessories that go with the sports box set.

Write and solve an inequality that represents the number of windows Jonathan needs to wash in order to save at least the minimum amount he needs to buy the boxed set. Graph the soluons on the number line. What is a realisc number of windows for Jonathan to wash? How would that be reflected in the graph?

WB pg 508. Chandler was given $75 for a birthday present. This present, along with earnings from a summer job, is being set aside for a mountain bike. The job pays $6 per hour, and the bike costs $345. To be able to buy the bike, how many hours does Chandler need to work?

(a) Graph the soluons to the inequality on a number line.

(b) Graph the soluons to the inequality on a number line.

(c) What do the soluons to the inequality signify?


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WB pg 519. Eugene and Wes are solving the inequality . Each begins by subtracng 132 from both sides to get , and then each divides both sides by‐4. Eugene gets and Wes gets , however. Always happy to offer advice, Alex now suggests to Eugene and Wes that answers to inequalies can oen be checked by substung into both the original inequality and the answer. What do you think of this advice? Graph each of these answers on a number line.

Aer hearing Alex’s suggeson about using a test value to check an in‐ equality, Cameron suggests that the problem could have been done by solving the equaon first. Complete the reasoning behind this strategy.

Deniz, who has been keeping quiet during the discussion, remarks, “The only really tricky thing about inequalies is when you try to mulply them or divide them by negave numbers, but this kind of step can be avoided altogether. Cameron just told us one way to avoid it, and there is another way, too.” Explain this remark by Deniz.

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21. Fiy students in the 7 th grade are trying to raise at least $2,000 for sports supplies. They have already raised $750. How much should each student raise, on average, in order to meet the goal?

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Documents

WB pg 1 - Weebly