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Unit 3C Study Guide: Rational Numbers Operations DUE 12/09

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Last updated 3 months ago
13 questions
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Question 1
1.

Select all the following that combine to create zero:

Question 2
2.

The temperature at 4:00 a.m. in Moscow was -9°C. By noon, the temperature rose by 12°C. At 6:00pm, the temperature dropped by 7°C. What was the temperature in Moscow at 6:00pm? Write and solve an addition equation to support your answer (no spaces)

Question 3
3.
Sophia is checking her bank account. She starts with a balance of $320, but then she spends $145 on new shoes! Create two equivalent expressions that could represent Sophia’s ending balance. Explain how you know both expressions are equivalent using the term additive inverse.

Expression 1:_______
Expression 2: _______
Explanation: _______
Question 4
4.

The table shows the elevations for four hikers.
Write and solve a distance equation to represent the distance between Brian and Lilliana's elevation to justify your answer. No spaces!

Question 5
5.

Question 6
6.

A seagull is flying at an elevation of 15 ⅜ ft above sea level. It descends 23 ⅙ ft to catch a fish in the ocean. Write and solve an addition equation that represents the seagull’s new location in relation to the surface of the water.

Question 7
7.

Question 8
8.

Question 9
9.
Adrianna has a prepaid phone plan. For each day that her account balance is below $0, she is charged an additional fee of $3.75 per day. Her current balance is –$4.25. If Adrianna does not add money to her account or makes any calls, what will be the new balance after 5 days?

Write and solve an equation to support your answer. _______

Explain what your answer means in context. _______
Question 10
10.

Question 11
11.

A plane is descending at a constant rate as it prepares to land. After 8 minutes, the plane has dropped 3,200 feet in altitude.

Write and solve an equation to represent how many feet the plane descends per minute.

Question 12
12.

The world’s largest water balloon is leaking water at a constant rate. After 7 minutes the balloon leaked 4.2 liters.

Write and solve an equation to represent how many liters are leaking per minute.

Question 13
13.

Easton had 10 candy canes and gave two to each of his friends.
Cassia lost $2 each day this week.
Eva spent $5, deposited $8, and spent $3.
Point X and point Z are shown on the number line where point X represents - ¾. The sum of some number, Y, and point X is represented by point C. Select all the possible values that could represent a value for Y.

3/4
0.75
0.76
-3/4
5/6
4/5
2/3
1
Select three statements that are true about rational numbers:
Every rational number is an integer.
Every integer is a rational number because they can be written as fractions with a denominator of 1.
Every rational number is an integer because rational numbers include positive and negative whole numbers.
The sum of two integers is always an integer.
A rational number can be written as a terminating or repeating decimal.
Integers and rational numbers can only be positive numbers.
Select all of the following that will result in a negative product.
-(-7)
-(-(-7))
5(2-6)
3(8-2)
Select all the following that are equivalent to -8.
5-(-13)
4(2)(-1)
-4(14-12)
-(-(-(-8)))
Which of the following is equivalent to -¾?