2nd Six Weeks Warm-ups

1. Jillian is playing a video game. In one scene, she loses 6.5 health points. In the next scene, she gains 8 health points. What is the overall increase or decrease to Jillian’s health points?

2. One month, Julia collected 8.4 gallons of rainwater. That month she used 5.2 gallons of rainwater to water her garden and 6.5 gallons of rainwater to water her flowers. How much was the supply of rainwater increased or decreased by the end of the month?

3. One week, Gerard wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Gerard’s bank account that week?

5. Ronnie cuts -inch sections of wood to make a birdhouse roof 5. Ronnie cuts -inch sections of wood to make a birdhouse roof. He cut 36 sections. How many inches did he cut?

6. A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meters did he descend?

13. The value of each division expression will show the average weight of a whale in tons. Complete the table.

6. What are the rules for multiplying rational numbers?

7. A section of beach erodes 2 5 meter per year 7. A section of beach erodes 2 5 meter per year. The beach eroded for 8 years. By how many meters did the length of the beach change?

9. In two days, Mr. Hanson spent $125 9. In two days, Mr. Hanson spent $125.15 five times with his debit card. How much money was deducted from his account?

10. Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone service costs the same amount each month. How much did she withdraw from her account each month to pay for the services?

Find the sum. 11.

A group of campers set up their tent at 6. 25 meters above sea level A group of campers set up their tent at 6.25 meters above sea level. They hike down a valley and stop 9.5 meters below where they set up camp. What is the campers’ elevation when they stop? 12.

13. Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for salon services. How much did she withdraw from her account each month to pay for the services?

14. Model the equation 2x – 4 = 10

15. Model the equation -3 = 9 – 6q

16. Model the equation -5t + 10 = - 5

8.1 LESSON QUIZ 7.10.A, 7.10.C 17. Joaquin is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. Write an equation you can use to find the price of a sandwich.

18. The drama club is planning a field trip. Two-thirds of the drama club will attend, in addition to 8 teachers. There are 48 people going on the field trip. Write an equation you can use to find the number of students in the drama club.

19. Gabrielle made punch for a party 19. Gabrielle made punch for a party. Her guests drank half of the punch, and then Gabrielle spilled 20 cups of punch. At the end of the party, Gabrielle had 10 cups of punch remaining. The equation p – 20 = 10 can be used to find p, the initial number of cups of punch. Determine which, if any, of the given original volumes make the equation true: p = 40; p = 60; p = 80.

20. Solve –49 + 3h = 8. –49 + 3h = 8 +49 +49 0 57 3h = 57 3 3 h = 19

20. Solve –49 + 3h ≤ 8. –49 + 3h ≤ 8 +49 +49 0 57 3h ≤ 57 3 3 h ≤ 19

21. Determine which, if any, of the following values makes the equation true: 4x + 8 = 44 x = 3; x = 6; x = 9.

22.

23. Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet 23. Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find the average number of pounds Fido must lose monthly to reach a healthier weight of 28 pounds within 6 months?

24. Ed wants to bicycle at least 75 miles this week 24. Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b ≥ 75 can be used to find b, the average number of miles he should bike on his remaining 4 bike rides this week. Solve the inequality, and graph the solution set on a number line.

25. Use algebra tiles to model and solve 5f + 11 ≤ −4.