nd
2
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. 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?
2
5
7. A section of beach erodes
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
$125.15 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
12. 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?
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. 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. 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.
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.