Download Unit 1 Integers Homework

Unit 1: Integers HOMEWORK Page 31
Unit 1
Integers
(Calculators will NOT be used)
Homework
SOL 7.1 - The student will:
e) identify and describe absolute value for rational
numbers
SOL 7.3 - The student will:
a) model addition, subtraction, multiplication and
division of integers.
b) Add, subtract, multiply and divide integers.
Unit 1: Integers HOMEWORK Page 32
Integers and Absolute Value Homework
Write an integer to represent the situation below.
1) sea level _______
2) a withdraw of 42 dollars _______
3) 14 degrees below 0 _______
4) an increase in height of 3 inches______
Evaluate the problems below.
5) | 29 | = __________
6) | - 15 | = __________
7) | 9 | - | -2 | = __________
8) | -50 | + | -7 | = __________
9) What is the sum of the
absolute value of -14 and 10?
10) | -30| - | -4 | + | 5 | = __________
Compare using > , < , or =
11) -32
14) | -9 |
14
|9|
12) 11
-4
13) | -14 |
15) -10
-12
16) | 4 + 7 |
-14
13
Order the following from least to greatest.
17) -8 , 10 , 2 , -13 , -5 , 3
________________________________________
18) -22 , -11 , |11| , |0|, |-14|, 22 , -10
________________________________________
Order the following from greatest to least.
19) -9 , -19 , 19 , 99 , -29 , -99 , 29
________________________________________
My score is _________/19
Unit 1: Integers HOMEWORK Page 33
Unit 1: Integers HOMEWORK Page 34
Adding Integers Homework
Add and Model Using +/- Signs making Zero Pairs where needed.
1)
-4 + (-1) = _____
2)
6 + (-4) = _____
3)
-3 + 8 = _____
4)
7 + (-5) = _____
Interpret the following Models.
5) ______________
6) ______________
7) ______________
8) ______________
Add and Model on a Number Line. (Draw a number line on your lined paper)
9)
-2 + (-4) = _____
10) -10 + 3 = _____
11) 7 + (-2) = _____
12) 8 + (-5) = _____
Evaluate each expression if a = -4, b = 7, and c = -6.
13) 6 + a = _____
14) b + (-10) = _____
15) c + (-2) = _____
16) a + b = _____
17) a + 0 = _____
18) b + c + a = _____
Solve each word problem.
19) During the night, the average temperature on the
moon is -140°C. By noon, the average temperature
has risen 252°C. What is the average temperature
on the moon at noon?
20) The starting balance in a checking account was $50.
What was the balance after checks were written
for $25 and for $32?
My score is _________/20
Unit 1: Integers HOMEWORK Page 35
Unit 1: Integers HOMEWORK Page 36
Subtracting Integers Homework
Subtract and Model Using +/- Signs making Zero Pairs where needed.
1)
3 – 8 = _____
2)
6 – (-8) = _____
3)
-4 – 6 = _____
4)
-7 – (-10) = _____
Interpret the following Models.
5) ______________
6) ______________
7) ______________
8) ______________
Subtract and Model on a Number Line. (Draw a number line on your lined paper)
9)
-3 – 1 = _____
10) 4 – (-6) = _____
11) -5 – 4 = _____
12) 6 – 10 = _____
Evaluate each expression if a = -8, b = 2, and c = -9.
13) 6 – a = _____
14) b - (-12) = _____
15) c - (-2) = _____
16) a - b = _____
17) a - 0 = _____
18) b - c - a = _____
Solve each word problem.
19) During January, the normal high temperature in
Duluth, Minnesota, is 16°F, and the normal low
temperature is -2°F. Find the range of the
temperatures.
20) The highest point in California is Mount Whitney,
with an elevation of 14,494 feet. The lowest point
is Death Valley, elevation -282 feet. Find the
difference in the elevations.
My score is _________/20
Unit 1: Integers HOMEWORK Page 37
Unit 1: Integers HOMEWORK Page 38
Multiplying and Dividing Integers Homework
Solve the following by multiplying or dividing.
1) -3 · 4 = _____
2) 54 ÷ (-9) = _____
3) -5(-4)(6) = _____
4) -60 ÷ 6 = _____
5) -8(-11) = _____
6) 480 ÷ (-12)= _____
7) 6 · 9= _____
8)
Interpret the following Models.
10) ______________
12) ______________
175
−12
9) 2(-8)(-9)(10) = _____
= _____
11) ______________
13) ______________
Multiply and Model on a Number Line. (Draw a number line on your lined paper)
14) -7(2) = _____
15) 4(-4) = _____
16) -3 · 6 = _____
17) 5 · (-3) = _____
Use multiplication or division to solve the problems below.
18) The research submarine Alvin, used to locate the
19) The highest recorded temperature in Columbus
wreck of the Titanic, descends at a rate of about
Ohio, is 104°F. The lowest recorded temperature is
100 feet per minute. What integer describes the
-22°F. What is the difference between the highest
distance Alvin travels in 5 minutes?
and lowest temperatures?
20) The low temperatures for 7 days in January were -2, 0, 5, -1, -4, 2, and 0. Find the average for the 7-day
period.
My score is _________/20
Unit 1: Integers HOMEWORK Page 39
Unit 1: Integers HOMEWORK Page 40
Integer Test Study Guide
Absolute Value
• Integers are any numbers from a set of whole numbers and their opposites
o (Examples: …., -4, -3, -2, -1, 0, 1, 2, 3, 4….)
•
The absolute value of an integer is the distance from zero (it is always positive)
1) Write an integer that represents a withdrawal of
$15
2) |-13| – |-8|
4) Fill in with <,>,=
6) Order the numbers from least to greatest.
-7
5) Fill in with <,>,=
-4
8
| -10 |
7) Order the numbers from greatest to least.
-38, -1, 5, 42, |-37| , 43
3) Fill in with <,>, =
27
|-27|
-9, 9, 0, 1, -10, -3, 3
8) On the same day, a thermometer registered 10
degrees in Paris and -5 degrees in Rome. Which
European city was warmer?
Adding Integers
Step 1: Look at the signs are they the same or different?
(-4) + (-3) ⇒ Same signs
(-7) + 2 ⇒ Different signs
If Signs are the SAME:
If Signs are different:
Step 2: Add the numbers:
Step 2: Subtract the numbers:
(-4) + (-3) = 4+3=7
(-7) + 2= 7-2= 5
Step 3: Keep the sign the same
Step 3: Keep the sign of the larger number
(-4) + (-3)= (-7)
For #s 9 – 12, Evaluate if x = -5, y = 10, and z = -3.
9) x + y
10) x + y + z
13) Jason owed his mom $7. He borrowed $25
more to go to the movies. How much money
does Jason have?
(-7) +2 = 5
(7 is larger than 2, so the answer is negative)
11) z + x
12) z + y
14) The members of the Investment Club purchased a
stock for $60. The next day the price of the stock
dropped $16. On the second and third days, the
price dropped another $15 and then rose $20. How
much was the stock worth at the end of the third
day?
15) Model using +/- signs
-3 + 7 = _____
Unit 1: Integers HOMEWORK Page 41
16) Solve and model using the number line.
-10 + 13 = _____
Example:
(-4) – (-3) = ?
Subtracting Integers
• Minus Minus becomes a GIANT Plus Sign
(-4) + 3 = -1
For #s 17 – 20, Evaluate if x = -5, y = 10, and z = -3.
17) 12 – (-y)
18) x + y – z
19) -y – x
20) z – x
21) The average temperature in Calgary, Canada,
is 22 degrees Celsius in July and -11 degrees
Celsius in January. What is the range of the
temperatures?
22) James has negative $50 in the bank and Rico has $70
in the bank $70. What is the difference in the amount
of money the boys have?
23) Model using +/- signs
24) Solve and model using the number line.
-5 – (-3) = _____
7 - 12 = _____
Multiplying and Dividing Integers
Positive • or ÷ Positive= Positive
Negative • or ÷ Negative = Positive
EVEN # of negative signs
the answer is POSITIVE
Positive • or ÷ Negative= Negative
ODD # of negative signs
the answer is NEGATIVE
Negative • or ÷ Positive = Negative
25) -6(-12)
Unit 1: Integers HOMEWORK Page 42
27) (-4)(-22)
28) 45 ÷ (-15)
For # 29 – 32, Evaluate if x = -5, y = 10, and z = -3.
29) -2(3z)
xy
31) xyz
32) 2y(-3)
30) 2
33) McCarthy Middle School’s enrollment has
decreased by 500 students over the past 5 years.
What is the average change per year?
34) A hose can drain a pool at the rate of 225 gallons
per hour. How much water can be drained in 5
hours?
-65
=
5
26)
=
Multiply and model on the number line.
35) -4 · 6 = _____
Don’t Forget to Check your Homework Online and Review
the Notes Section of your Binder! Your test is next class!
My score is _________/35
Unit 1: Integers HOMEWORK Page 43
Unit 1: Integers HOMEWORK Page 44
Unit 1: Integers HOMEWORK Page 45
Unit 1: Integers HOMEWORK Page 46