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Unit 1 Assessment 4 Review​ Show all work properly.
Use separate paper as needed. No squished work.
For #1-2, write an integer that represents each situation. Explain the meaning of zero in each
situation.
1.
A deposit of $300
3. NASA is going to launch a rocket to the moon.
The scientist checks all of the electronics 10
minutes before liftoff. 5 minutes before liftoff the
astronaut arrives. The rockets fire at liftoff. 7
minutes after liftoff the rocket is out of sight. Write
integers to represent the 4 events.
a. {____________________________}
b. Describe the meaning of 0 in this situation.
2. 36°C below 0
4. City A is 822 feet above sea level and city B is 38
feet below sea level. What is the distance from
the top of city A to the bottom of city B? ​Use at
least 1-2 sentences and a number line to explain
your reasoning.
5. The Teen Titans were playing a board game.
6. In a basketball game, Michelle beat the buzzer by
Robin had to move backward two spaces. Raven
0.6 of a second! (It was exciting!) Is this
lost her turn and stayed where she was. After
represented by 0.6 or -0.6?
picking up a card, Starfire moved forward 5
spaces. On his turn, Cyborg had to go back 4
Using a number line, plot 2 rational numbers that are
spaces. Beast Boy’s card advanced him 6 spaces greater than your answer above. Then, circle them.
to win.
After, plot 2 rational numbers that are less than your
a. Write integers that represent each movement: answer above. Then, box them.
{___________________}
b. Graph your integers on the number line
below. Label the points with names.
c. Explain the meaning of zero in this situation.
d. Put the integers in order from ​greatest to
least. ​{__________________}
7. Use the number line to answer the following
questions.
a. Think back to the IQL (lesson 18a). Without
showing calculations, plot and label the
7
rational numbers​ 56 , 78 ,− 11
8 ,− 6 ​on the number
line below.
e. Write an inequality to compare Robin and
Cyborg’s integers. Explain the meaning of the
inequality using the context of the problem.
b. Use your number line to circle the true
inequality.
i.
ii.
5
6
> 78 or 78 > 56 ?
− 118 >− 76 or − 76 >− 118 ?
Write an inequality for #8-11. Replace each ____ with < or > to make a true sentence. For #10-11 show
all work.
8. –9 ____ –11
10.
9. |–42| ____ |–44|
6
5
____​
7
6
11.
4
3
____​
7
5
For #12-15, evaluate each expression.
12. − (− 17) ​Hint: Think opposites
13. − |− 16|
14. |10 − 6|
15. |18| − |− 7|
16. Use the number line to order from least to
greatest { |–5| , |–10| , -5, 2, 0}
17. Which of the decimals has the greatest value?
a. 0.5
b. 0.05
c. 0.059
d. 0.519
e. 0.56
18. Order from greatest to least
{23,− 0.6, 0.6, 45}
19. Use the set of { 2.2,− 1.75, 216,− 1 35 } for parts a-b.
a. Order the set from least to greatest. Show all
work separately.
b. Another number is added to the set above. It
is between the second and third highest
rational numbers. Name one possible value.
___
20. What is the opposite of…
a. -3?
b. 0?
c. the opposite of +2?
21. The temperature in city A is -4° and in city B is
-8°. Write an inequality for this situation. ​Explain
the meaning of the inequality using the context of
the problem.
22. What is the distance between the two absolute
values |3| and |-3|?
23. True or false: |x| = |− x|