Download review #2 Number System

Name_________________________Date____________PD____
Number System Review #2
1
1) What is the opposite of 5?
a) 5
b) -5
c) 0
2) What is │23 │?
4
a)
b)
1
234
1
-234
c) 0
3) What is -│-7│?
a) 7
b) -7
c) 0
4)
5) Use a number line to illustrate the given
problem.
-6 + 7
-11.5________ -11.05
a) >
b) =
c) <
6) If the temperature reading on a thermometer is
-5°C, what will the new reading be if the
temperature rises 8.4°C? Show work!
a) -13.4°C
b) -3.4°C
c) 3.4°C
d) 13.4°C
___________________________________
7) A submarine is cruising at 40 meters below sea
1
3
4
8
level. It descends 20 meters; then it rises 15
8) Convert the fraction into a decimal.
2
9
33
meters. What is the submarine’s new depth?
10) Simplify: -1 + 3.1(4.08 –6)
9) Convert the subtraction problem into an
addition problem. 8.75 – 4.3
a) -8.75+ 4.3
b) -8.75 + (-4.3)
c) 8.75 + 4.3
d) 8.75 + (-4.3)
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11) Simplify: 6 – 4[(5 ½)(-4) + (-3 ¼)]
12) Simplify. Show each step.
3
2
3
−5 + ⌈6(2 − 5) + (8 − (−3 ))⌉
4
7
7
13) Mike had a balance of 175rmb in his bank account at the start of the week. He withdrew
65.5rmb on Monday, 43.25rmb on Wednesday, and 56.45rmb on Thursday. On Friday he
deposited 165.30rmb.
 At the end of the week, does Mike have more or less money in his savings account
than he had at the beginning of the week?
 How much more or less?
14) In the first quarter of the game, the Giants gained 5 yards, lost 13 yards, gained 2 yards, gained 6
yards and, unfortunately, lost 12 yards in their final play.
 Use a number line to depict the Giants’ activity in the first quarter.
 Use addition only to illustrate the Giants’ activity in the first quarter.
 What was the net yardage for the Giants in the first quarter?
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15) The temperature varied greatly throughout the evening. Mary’s bug farm cannot survive if the
temperature falls below 32°C at any time. The evening temperature was consistently 62 degrees, until
a storm passed through the town. The temperature dropped 24°, dropped another 5°, rose 2°,
dropped 11°, and rose 9°.
 Illustrate the temperature changes throughout the night using only addition
 What was the lowest temperature of the night?
 Did the bug farm survive the night? Explain your answer.
16) The test was worth 100 points. Each multiple choice question was worth 3 points, each short answer
was worth 4 points and each extended response question was worth 5 points. There was a bonus
question worth 6 points. Mark’s answers contained incorrect responses to the following: 2 multiple
choice, 2 short answer, 1 extended response. Mark’s answer to the bonus question was correct.
Mark hoped to earn at least a “B” on the test, which means his score had to be between 80 – 89.



How many points did Mark lose due to incorrect answers?
Did Mark earn a “B” as he had hoped?
What would Mark’s score have been if his extended response answer was correct
and he had one more multiple choice answer incorrect?
17) Let 𝑘 represent some unknown number between −4 and −5. Locate between two
consecutive integers each of the following:
(a) −𝑘
(b) −𝑘 + 5
𝑘
(c) 2 + 2
(d)
𝑘+2
2
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18) The temperature was −2∘ C at midnight.
By the next day, the temperature had risen by 9∘ C.
(a) Some of these calculations show how to figure out the temperature the next day.
Circle any that apply
(b) What was the temperature the next day? Explain your answer.
19) Below is shown an atom and a description of its parts. In atoms, the protons and
neutrons make up the nucleus. The charge of an atom at rest is zero.
The element sulfur has 16 protons. How many electrons does it have?
20) On a number line, how far is each of the following numbers from 5?
(a) 17
(b) −4
(c) 𝑥
(d) 𝑥 + 3
(e) 𝑥 − 1
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