Unit 1 Winter Break Review

Name ________________________________________ Date __________________ Class __________________
Numbers
UNIT
1
Unit Test: D
1. What is the opposite of −6?
7. Alecia placed the numbers 0.2, 0.4,
−0.8 and 0.1 on the number line. Which
of the numbers is furthest from zero?
A 0
B
1
6
A −0.8
B 0.1
C 6
C 0.4
2. Which set of rational numbers is correctly
ordered from least to greatest?
8. Cal divided a 7-pound bag of marbles into
2 equal piles. Which rational number
represents the weight of the marbles in
each pile?
A −0.3, −0.4, −0.5
B −0.5, −0.4, −0.3
C −0.5, −0.3, −0.4
A
3. Which number line shows −4, 1 and 3?
B 7
A
C
B
7
2
9. Which statement about rational numbers
is correct?
C
A All rational numbers are also
integers.
4. Which number has the same absolute
value as −21?
B Zero is not a rational number.
A 0
B
2
7
C All integers also rational numbers.
1
21
1
a
in the form . What
2
b
number did she write?
10. Anna wrote 4
C 21
5. The elevation of New Orleans is on
average 8 feet below sea level. Which
correctly describes the opposite of New
Orleans’ elevation?
A
2
9
B 4
A on average 8 feet below sea level
C
B at sea level
C on average 8 feet above sea level
1
2
9
2
11. Which of the following is an example of a
rational number that is not an integer?
6. Which shows the integers in order from
greatest to least?
A
A −2, 1, 5
1
5
B 5, −2, 1
B 0
C 5, 1, −2
C 4
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93
Name ________________________________________ Date __________________ Class __________________
UNIT
1
Numbers
17. What is an example of a rational number
that is not an integer?
12. Christopher claims that 4 is not a rational
number because it is not written as a ratio
of integers. Is he correct? Explain why or
why not.
________________________________________
18.
________________________________________
Daily Temperatures in New York
________________________________________
Day
13.
Times in 400-meter Dash
Runner
Time (s)
Kurt
59.6
Blaine
58.8
Rachel
60.4
Finn
59.5
Temperature
Monday
1°C
Tuesday
2°C
Wednesday
5°C
Thursday
−1°C
The table shows the daily temperatures
for a four-day period in New York.
On which day was the temperature
warmest?
Four runners ran the 400-meter dash.
The times are shown in the table above.
Which runner had the fastest time?
________________________________________
19. Esme graphed −3 and −10 on the number
line. Which point is further from zero?
Explain.
________________________________________
4
2
3 2
, − ,
and
5
5
5 5
from greatest to least.
14. Write the numbers −
________________________________________
________________________________________
________________________________________
20. Brian compared the absolute values of
1 3
1
the numbers − , , and − . Which of
2 4
4
the numbers has the greatest absolute
value?
15. How many integers have absolute value
equal to 3? What are the integers?
________________________________________
________________________________________
16.
In the number line above, what is the
coordinate of the marked point?
________________________________________
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94
4. Farha, Davon, Kate, Nikesha, Mirsada,
Henri, Abey, Oren. The three negative
2
rational numbers (− , −2.3, and −12.6)
3
become positive, which changes the order.
15. Alexey is correct. Sample explanation:
Suppose the smallest rational number is
x
x. Then
is also a rational number, but
2
is smaller than x. Therefore x cannot be
the smallest rational number, and such a
number does not exist.
5. The Rational Numbers
6. whole numbers; rational; rational
numbers
16. Every integer can be written as a fraction
a
, where a is the integer and b = 1.
b
UNIT 2 Number Operations
Unit 1 Test: D
Unit 2 Test: A
1. C
1. C
2. B
2. D
3. A
3. A
4. C
4. C
5. C
5. B
6. C
6. D
7. A
7. C
8. C
8. B
9. C
9. B
10. C
10. D
11. A
11. A
4
12. No. 4 can be written as .
1
12. B
13. Blaine
14.
13.
4 2
3
2
, , − , −
5 5
5
5
14. 9
15. Two. −3 and +3.
19
oz or 9.76 oz
25
15. a. 186.55 lb
16. −1.25
b. 18.45 lb
17. Answers will vary. Sample answer: 0.5
16. Sample answer: 2(−4) − 1
18. Wednesday
17. 56 pennies
19. −10. −10 is 10 units from zero on the
number line. −3 is three units from zero.
20.
5
12
18. 2(−4) + 14 + (−5) = 1; The team gained
1 yd.
3
4
19. $437.96
20. If the integers have the same sign, the
quotient will be positive. If the integers
have different signs, the quotient will be
negative.
Unit 1 Performance Task
1. Integers Without Wholes; −9 is an integer
but not a whole number because it its
negative.
21. (−14) + 2(−8) + 2 = −28; −28 points
22. a. (−45) + (−106) + 8 = −143
2. Brittany and Lila; Brittany: Integers
Without Wholes; Lila: Whole Numbers
b. She has to sell 16 candles before she
makes a profit.
3. Oren, Mirsada, Farha, Davon, Kate,
Nikesha, Henri, Abey
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202