Take out Word Problems with Inequalities Homework for

Take out Word Problems with Inequalities Homework for us to check.

4) 3 times the difference of a number and 8 is no more than -93. What is the solution set for the number? Let n = the number V: __________ 3(n – 8) < – 93 ATO I: ___________ 3(n + – 8) < – 93 3 n + – 24 < – 93 – – 24 ATO 3 n < – 93 + 24 3 n < – 69 ÷ 3 n < – 23 S: __________ – 24 – 23 – 22 – 21

5) Working at Burger in a Box, you are paid $25 each week plus $6 per hour. This week, you want your pay to be at least $133. What solution set represents the amount of hours that you must work to earn enough? Let h = the number of hours V: __________ 25 + 6 h > 133 I: ___________ – 25 ATO 6 h > 133 + – 25 6 h > 108 ÷ 6 h > 18 S: __________ 17 At least 18 hours 18 19 20

6) The 12 members of the Filmmaking Club need to raise at least $1400 to make a short film. They already have raised $650. What solution set represents the amount that each member must raise to reach their team goal? Let a = amount each must raise V: __________ 650 + 12 a > 1400 I: ___________ – 650 ATO 12 a > 1400 + – 650 12 a > 750 ÷ 12 a > 62. 5 S: __________ 61 Each raises at least $62. 50 62 63 64

1) The perimeter of the Jacob’s square backyard is no more than 72 meters. What is the solution set for the length that his backyard can be? Let x = the length of the backyard V: __________ 4 x < 72 I: ___________ ÷ 4 x < 18 No more than 18 meters S: __________ 17 18 19 20

2) To get an A, you need more than 200 points on a two-part test. You score 109 points on the first part. What solution set represents how many more points you need? Let p = the number of points V: __________ 109 + p > 200 I: ___________ – 109 n > 91 More than 91 points S: __________ 90 91 92 93

3) Marcus wants to buy 4 baseballs. He has $68. What solution set represents what each baseball can cost? Let c = the cost of each baseball V: __________ 4 c < 68 I: ___________ ÷ 4 c < 17 No more than $17 S: __________ 16 17 18 19

4) 3 times a number, plus 5, is at most -28. What solution set represents what the number can be? Let n = the number V: __________ 3 n + 5 < – 28 I: ___________ – 5 ATO 3 n < – 28 + – 5 n < – 33÷ 3 n < – 11 S: __________ – 12 – 11 – 10 – 9

5) -4 times a number, minus 6, is at least 22. What solution set represents what the number can be? Let n = the number V: __________ – 4 n – 6 > 22 I: ___________ + 6 – 4 n > 28÷ – 4 n < – 7 S: __________ – 8 – 7 – 6 – 5

6) You buy want to buy several candy bars for $2 each and one newspaper for $3. What solution set would represent the number of candy bars can you buy if you only have $19? Let c = the number of candy bars V: __________ 2 c + 3 < 19 I: ___________ – 3 2 c < 16 ÷ 2 c<8 No more than 8 candy bars S: __________ 7 8 9 10

7) A telephone company charges a $27 monthly service, plus $2 for each long-distance call that you make. If you budget $65 for your telephone bill each month, what solution set represents how many long distance phone calls you can make during the month without going over your budget? Let p = the number of phone calls V: __________ 27 + 2 p < 65 I: ___________ – 27 2 p < 38 ÷ 2 p < 19 No more than 19 calls S: __________ 18 19 20 21

Test Tomorrow • To help review for the test tomorrow, I have a review packet. • This Power. Point, which includes the answers to the review, is posted on my website.

Inequality Test Review Write an algebraic inequality for each of the following. 1) m is at most 30.

Inequality Test Review Write an algebraic inequality for each of the following. 2) The sum of 5 x and 2 x is at least 14.

Inequality Test Review Write an algebraic inequality for each of the following. 3) The product of e and f is fewer than 4.

Inequality Test Review Write an algebraic inequality for each of the following. 4) 5 less a number is above 20.

Inequality Test Review •

a. The sum of 5 and 2 times p is at least 11 b. Five added to the product of 2 and p is less than 11 c. Two times p plus 5 is at most 11 d. The product of 2 and p added to 5 is 11

a. Sam has 3 bottles of water. Together, Sam and Dave have at most 12 bottles of water b. Jennie sold 3 cookbooks. To earn a prize, Jennie must sell at least 12 cookbooks. c. Peter has 2 baseball hats. Peter and his brothers have fewer than 12 baseball hats. d. Kathy swam 3 laps in the pool this week. She must swim more than 12 laps.

a. 0 b. 2 c. 4 d. 5

14. If 5 times a number is increased by 4, the result is at least 19. Find the solution set that satisfies these conditions. 5 n + 4 > 19 – 4 5 n > 15 ÷ 5 n > 3

15. The sum of twice a number and 5 is at most 15. What are the possible values for the number? 2 n + 5 < 15 – 5 2 n < 10 ÷ 2 n < 5

16. The cost of a gallon of orange juice is $3. 50. What is the maximum number of containers you can buy for $15? 3. 50 c < 15 ÷ 3. 50 c < 4 A maximum of 4 containers.

Solve each inequality and graph its solution. 17. X + 8 > 18 – 8 x > 10 8 9 10 11 12 13 14

Solve each inequality and graph its solution. 18. – 7 + e < – 8 + 7 +7 e < – 1 -3 -2 -1 0 1 2 3

Solve each inequality and graph its solution. 19. g – 2 < 4 + 2 g<6 4 5 6 7 8 9 10

Solve each inequality and graph its solution. 20. – 28 < v – 16 + 16 – 12 < v – 15 – 14 – 13 – 12 – 11 – 10 – 9

Solve each inequality and graph its solution. 21. 0 1 14 y < 14 ÷ 14 y<1 2 3 4 5 6

Solve each inequality and graph its solution. 22. – 4 j < 16 ÷ – 4 j > – 4 – 7 – 6 – 5 – 4 – 3 Flip the symbol – 2 – 1

Solve each inequality and graph its solution. 23. – 1 > f 6 – 1 x 6 > f – 7 – 6 – 5 – 4 – 3 – 2 – 1

Solve each inequality and graph its solution. 24. m > – 2 – 3 m > – 2 x – 3 m<6 4 5 6 7 Flip the symbol 8 9 10

Solve each inequality and graph its solution. 25. e + 2 > 0 3 – 2 e > – 2 3 e > – 2 • 3 e > – 6 – 7 – 6 – 5 – 4 – 3 – 2 – 1

Solve each inequality and graph its solution. 26. p – 1 < – 2 7+ 1 p < – 1 7 p < – 1 • 7 p < – 7 – 8 – 7 – 6 – 5 – 4 – 3 – 2

Solve each inequality and graph its solution. 27. 8 y + 2 > 18 – 2 8 y > 16 ÷ 8 y>2 – 3 – 2 – 1 0 1 2 3

Solve each inequality and graph its solution. 28. – 4 m + 5 < 25 – 5 – 4 m < 20 ÷ – 4 Flip the symbol m > – 5 – 7 – 6 – 5 – 4 – 3 – 2 – 1