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Study Guide Unit 1A: Adding & Subtracting Rational Numbers

Last updated about 1 year ago
14 questions
1

Match the following scenarios with their outcomes.

  • Charli has a balance in her bank account of $10. She also owes her friend Wren $10.
  • Michael found 3 Easter eggs. Each egg had 1 piece of candy. He gave each of his three friends an egg.
  • Isabella deposited $8 in her savings account and then withdrew $7 from the account.
  • Ms. Dolinski lost $1 in the parking lot.
  • 1
  • 0
  • -1
1
The Georgia Bulldogs are playing Alabama. The Bulldogs started on the 40 yard line. The Bulldogs quarterback got sacked and they lost 15 yards.

Write an expression of the difference between where the Bulldogs started and the amount of yards they lost? _______
Write an additive expression for your previous expression _______
Write an integer to represent what yard line the Bulldogs are on now _______
1
At 3:00 a.m., the temperature outside was 10°F below zero. By the evening, it rose by 20°F. What is the temperature now? _______

At 10:00 p.m., the temperature dropped by 25°F. What was the temperature at night? _______

(Hint! Draw a number line to help you!)
1
Isaac Newton was born in 1643 AD. Pythagoras was born in 582 AD.

Write and expression representing the difference in their ages. _______
Write an equivalent expression using the additive inverse property. _______
1

Ms. Dolinski owes Ms. Cooper $10, and Ms. Cooper owes Ms. Dolinski $15. Select ALL the statements that are true with regards to this scenario!

1
Use the number line to answer the following question.

What integer represents point A? _______
What integer represents point B? _______
What integer represents point C? _______
What integer represents point D? _______
What integer represents point E? _______
Which two points could be added to make zero? _______ (type your answer as letter/letter)
1


Write an expression that models the difference between the highest and the lowest elevation listed in the table?

1

The price of gas was $3.46 per gallon on Monday. Tuesday the price of gas dropped $0.15, Wednesday the price of gas decreased $0.75. On Thursday the price of gas was raised $0.20. What is the current price of gas on Friday?

1
Point A is located at -3.25 and Point B is located at 1.25.

Write an expression that accurately describes the difference between point A and point B? _______
Write an additive expression to represent the difference between point A and B? _______ What is the distance between point A and point B? _______
1

Point A is located at -3.25 and Point B is located at 1.25.


Point C is located on the right side of Point B. If Point C is the same distance as Point A is from Point B, what is Point C? *Hint: Find the distance of point A to point B first

1

Rosalie is trying to match the following expressions with the correct property it's displaying! (Remember, you aren't solving, just helping her match! There are two expressions for each property)

  • Commutative Property
  • Associative Property
1
Rose and Jack evaluated the same problem.


Who evaluated the problem correctly? _______

Which property was used to solve the problem? _______
1
Rachel was required to solve the following expression.

She showed her work below. Identify what property she used to solve step by step:
What property did Rachel use from step 1 to step 2?__________
What property did Rachel use from step 2 to step 3? __________
What property did Rachel use from step 4 to step 5? __________
What property did Rachel use from step 5 to step 6?__________
1

Use the expression to answer the following question.


Applying the properties of operations, what is the value of the expression?