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UNIT Integer Review Starts 09/04/2014 ends 09/17/2014 - Mrs. Stewart
At Home Learning Activities – All HW is to be done on loose leaf with the proper heading. (see tstewartmath.weebly.com)
All work must be clearly shown. Redraw any diagrams that you need to in order to correctly show the work.
Triumphs Book 1
A. pg 14 # 7 - 14
Find the sum. Note the text
makes reference to algebra
tiles, you can draw counters
instead.
B. pg. 16 # 23 - 34
C. pg . 17 # 35 - 47
D. pg 23 # 1 - 6
Integers & Absolute Value
TEMPERATURE
1. The low temperatures for three consecutive
days were –5°F, 3°F, and 4°F. Graph this set of
integers on a number line.
ELEVATIONS
2. The lowest elevation in New Orleans, Louisiana,
is –8 feet. The lowest elevation in Long Beach,
California, is –7 feet. Graph this set of integers
on a number line.
E. pg 24 # 7 - 15
F. pg 25 # 16 - 28
G. pg 26 # 29 - 37
H. pg 30 # 3 - 9
I. pg 31 # 10 - 22
J. pg 32 # 23 - 32
K. pg 34 # 1 - 8
L. pg 35 # 9 - 21
M. pg 38 # 37 - 44
Practice for Test pg 40 - 47
Solar System
3. The average temperature of saturn is -218ºF
while the average temperature of Jupiter is
-162⁰F. Which planet has the lower average
temperature? Explain.
4. BUSINESS Ms. Solorio’s small business had a
profit of $460 on Monday. Write an integer to
represent this profit.
5. CAVING The end of a cave is 380 meters below
the surface of the earth. Write an integer to
represent this depth.
UNIT Integer Review Starts 09/04/2014 ends 09/17/2014 - Mrs. Stewart
At Home Learning Activities – All HW is to be done on loose leaf with the proper heading. (see tstewartmath.weebly.com)
Integer Operations
Adding Integers
Subtracting Integers
Temperature Drop
6. In one hour, the temperature dropped 2
degrees. In the next hour, the temperature
dropped an additional 3 degrees.
a. What integer represents the total
temperature change over these two
hours?
b. Write an addition expression that
describes this situation.
c. Suppose the temperature rose 4
degrees in the third hour and dropped 1
degree in the fourth hour. Write an
addition expression to represent the
temperature change over all four hours.
d. What integer represents that change?
e. Mode the temperature change on a
vertical number line.
True or False
7. Let n = any number . Then -n is always a
negative number. Explain your claim. If true
provide evidence, if false provide a counter
claim.
Gophers
11. A gopher begins at 7 inches below the surface
of a garden and digs another 9 inches. Find the
integer that represents the gopher’s position in
relation to the surface of the garden.
Construct Viable Argument
8. Explain how you know the sum of 5, 4, and -5 is
positive without actually adding. Make sure to
use appropriate math vocabulary in your
explanation as well as detailing your reasoning.
Creating a problem
9. Create a real-world problem that can be solved
using the number line below.
Computation
10. Find the sum. Model the equations using either
counters or a number line.
a) 10 + (-3) + 3
b) -15 + 8 + (-9)
c) 8 + (-11) + (-19) + 11
d) -7 + (-1) + 7
e) -6 + (-2) + 14
f) 13 + 20 + (-17) + (-13)
Finances
12. Suppose you deposited $25 into your checking
account and wrote a check for $38. What was is
your account balance?
Scores
13. At the end of hte first round of a game show,
Julian had a score of 40 points and Marty had a
score of -50 points. Find the difference
between the two scores. Write the expression
you would use to solve this problem.
Multiple Representations
14. An underwater video camera is 7 feet below the
surface. It will be lowered an additional “f” feet.
a. Write an equation to show how many
total feet below the surface the camera
will be after it is lowered.
b. Make a table to show the depth of the
camera if it is lowered 5, 8, 10, or 12
feet.
True or False
15. A subtraction expression with a positive integer
and a negative integer can have a difference of
zero. Explain your claim. If true provide
evidence, if false provide a counter claim.
Computation
16. Find the difference. Model the equations using
either counters or a number line.
a) 6 - 7
b) -20 - (-30)
c) 1 - (-18)
d) 5 - (-10)
e) 4 - 8
f) 15 - (-14)
UNIT Integer Review Starts 09/04/2014 ends 09/17/2014 - Mrs. Stewart
At Home Learning Activities – All HW is to be done on loose leaf with the proper heading. (see tstewartmath.weebly.com)
Multiplying Integers
Dividing Integers
Airplanes
Climbing
17. An airplane descends at a rate of 175 feet per
22. Rappelling is one way climbers descend rocks
minute. What is the airplane’s change in altitude
and mountains. A climber was at an elevation of
after 5 minutes? Write an expression to help
800 feet above sea level. Five minutes later, the
you solve this problem and then solve.
climber was at elevation of 755 feet above sea
level.
Elevators
a. What was the climber’s change in
18. An elevator takes passengers from the ground
altitude?
floor down to an underground parking garage.
b. Suppose the climber descended the
Where will the elevator be in relation to the
same number of feet each minute.
ground floor after 5 seconds if it travels at a rate
Write an expression to determine the
of 3 feet per second?
number of feet the climber descended
each minute. Evaluate your expression
Investments
to find the rate.
19. The price of stock fell $2 each day for 14
consecutive days. The original price of the stock For each of the following three questions
was $41.
I.
Write an expression to represent the situation
a. Write an expression that you could use
II.
Evaluate the expression
to find the price of hte stock on any day.
III.
Interpret the meaning of the solution based on
b. What is the price of the stock after the
the situation
end of the 14th day?
Debt
23. Jean owes her parents $90, to be paid in 5 equal
Trivia
installments. How much is each installment?
20. Two groups were playing a trivia game. Each
team earned 5 points for every correct answer,
Temperature
lost 8 points for every incorrect answer, and lost
24. The temperature dropped a total of 40⁰F over an
2 points for every passed question. For each
8 hour period. What was the mean hourly
team, write an expression to determine the
temperature drop?
number of points they earned. Which team
won? Show your work.
Savings
25. In October, the full price of a television is $695.
Over the next seven months, the price of hte
television drops a total of $140. How much did
Team
Correct
Incorrect
Passed
hte price of the television drop each month on
average?
A
12
3
1
B
13
2
7
Computation
26. Evaluate each expression
a. 28 ÷ (− 14)
Computation
21. Evaluate each expression.
a) 10n, if n = -10
d) -5 • 10s if s = -5
b. -36 ÷ (-2)
c.
n
−13
, if n = -130
b) 8m, if m = -3
e) 4xy, if x = -6 and y = 3
c) -15st, if s = 4 and t = -9 f) (11a)(7c), if a =-2 and c =
3
d.
−6a
b
, if a = -4 and b = -2
e. -2st ÷ (-3t), if s = 9 and t = -1

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