Name___________________________ Core ______________Unit 4 Day 4 Homework Show all work on another page

Unit 4 Day 5 HW Show all work on another page

U4-6 CW and HW: Name: __________________________________________

On a separate paper: Define Variables, Write Inequalities, Solve and Check:

Writing Inequalities and graphing:

1. Less than 70 students attended the last dance.2. At the store, the camera cost at least as much as the mail-order price of $229.3. Your age is greater than 12 years.4. A number decreased by 25 is no more than 65.5. More than $1000 was collected for the charity.6. At least 80 runners showed up for the charity race.7. More than 100,000 fans attended the opening football game at the Ohio State University.8. More than 3400 people attended the flea market.

Writing Inequalities and Solving one step equations:

9. Her earnings at $16 per hour were no more than $96.10.A savings account decreased by $50 is now less than $740.11.A number increased by 7 is at least 45.12.Her earnings at $11 per hour were no more than $121.13.The 10-km race time of 84 minutes was at least twice as long as the winner’s time.14.A savings account increased by $70 is now more than $400.15.A certain minivan has a maximum carrying capacity of 1200 pounds. If the luggage weighs

150 pounds, what is the maximum weight allowable for passengers?16.A large punch bowl holds 12 gallons of liquids. If five gallons of ginger ale have already been

poured into the bowl, what is the most fruit juice that can be added?17.A neighborhood association wants to replace the playground equipment at a park. The

playground equipment they would like to buy starts at $4500. If they have already raised $2700, what is the least they must still collect?

18.To get to the beach for vacation, Cheng’s family must drive at least 660 miles on the first day. They are traveling at a constant speed of 60 miles per hour. How many hours should the family drive?

19.Jess receives $180 for every garage he paints over the summer. He wants to save at least $1620 for college. How many garages should Jess paint?

20.To qualify for store discount, Jorge’s soccer team must spend at least $560 for new jerseys. The team needs 20 jerseys. How much should the team spend for each jersey?

Writing and solving two step equations

21.Two times a number less 4 is greater than the same number plus 6. For what number of numbers is this true?

22.One-half of the sum of a number and 4 is less than 14. What is the number?23.Benjamin wants to go fishing on the lake. A boat rents for $12 per hour and a rod and reel rent

$20 per day. If he wants to spend no more than $80, how many hours can he spend fishing in the boat?

24.Deena is inviting 10 friends to a party. If she wants to spend no more than $120 on her guests, and dinner for each guest costs $8, what is the most she can spend on party favors for each person?

25.Two times a number less than 10 is greater than five times the same number plus 2. For what number or numbers is this true?

26.One-half of the sum of a number and 12 is less than 27. What is the number?27.Admission to the state fair costs $5 and each ride costs $0.75. If Ahmed wants to spend no

more than $14 at the fair, how many rides can he ride?28.Yuko wants to buy teddy bears that cost $8.50 each for her eight nieces and nephews. She

would like to get a hat for each teddy bear, also. If Yuko wants to spend no more than $94, how much can she spend on each hat?

29.The amount of snow on the ground increased by 8 in. between 7 P.M. and 10 P.M. By 10 P.M., there was less than 2 feet of snow. How much snow was there by 7 P.M.?

30.The school record for points scored in a basketball season by one player is 462. Maria has 235 points so far this season. How many more points does she need to break the record?

31.Dom wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?32.A typing service charges $5 per page. Mrs. Garza does not want to spend more than $50 for

the typing. What is the maximum number of pages she can have typed?33.Julia has $80. She wants to purchase a nail paint set for $16 and earrings. She spends the

rest of the money on earrings. Each pair of pair of earrings costs $8. Write and solve an inequality for the number of pair of earring she can purchase.

34.Christina goes to the market with $50. She buys one papaya for $20 and spends the rest of the money on bananas. Each banana cost $6. Write an inequality and solve for the number of bananas she can purchase.

35.Billy goes to the store. He has $90. 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 pairs of jeans he can purchase.

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

37.Erin has $50. She wants to purchase a cell phone ($20) and spend the rest on music CDs. Each music CD costs $8. Write and solve an inequality for the number of music CDs she can purchase.