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Adding & Subtracting Rational Numbers Word Problems

Authored by Christine deRouville

Mathematics

7th Grade

CCSS covered

Used 59+ times

Adding & Subtracting Rational Numbers Word Problems
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This quiz focuses on adding and subtracting rational numbers through real-world applications, making it perfectly suited for 7th grade mathematics. The questions systematically build students' understanding of operations with integers, decimals, and fractions in contextual situations. Students must demonstrate mastery of several interconnected concepts: interpreting negative numbers as debts or deficits, understanding that subtraction of a negative number is equivalent to addition of its opposite, adding and subtracting decimal numbers in financial contexts, and performing operations with mixed numbers requiring common denominators. The problems require students to translate between mathematical expressions and real-world scenarios, evaluate multi-step expressions involving positive and negative rational numbers, and apply inverse operations to solve for unknown values. Students must also demonstrate computational fluency with fractions, including finding common denominators and converting between mixed numbers and improper fractions. Created by Christine deRouville, a Mathematics teacher in US who teaches grade 7. This quiz serves as an excellent tool for reinforcing rational number operations through meaningful contexts that students encounter in daily life. Teachers can use this assessment as a formative evaluation to gauge student understanding of positive and negative number operations, or as guided practice following initial instruction on rational number arithmetic. The varied question formats make it suitable for warm-up activities, homework assignments, or review sessions before summative assessments. The real-world contexts help students connect abstract mathematical operations to practical applications involving money, measurements, and changes in quantities. This quiz directly supports Common Core standards 7.NS.A.1, 7.NS.A.2, and 7.NS.A.3, which focus on applying properties of operations to add and subtract rational numbers, understanding that integers can be divided into three categories, and solving real-world problems involving the four operations with rational numbers.

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6 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Kyle owed his sister $12.45 that he borrowed to go see a movie. He earned $7.50 mowing the neighbor's lawn. How much does Kyle still owe his sister?

He owes her $19.95.

He owes her $4.95.

He owes her nothing.

He owes her $12.45.

Tags

CCSS.5.NBT.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Drake has -$15.50 in his bank account. In order to close his account, Brendan must bring his balance to $0. Describe how Drake can get to a balance of $0.

Withdraw $15.50.

Write a check for $15.50.

Deposit $0.

Deposit $15.50.

Tags

CCSS.7.NS.A.1B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Austin builds a lego house 

 2 132\ \frac{1}{3}  feet high. He then puts a chimney on the roof that is  14\frac{1}{4}  foot tall. What is the height of the lego house including the chimney?

 2 27 feet2\ \frac{2}{7}\ feet  

 1 17feet1\ \frac{1}{7}feet  

 2 712feet2\ \frac{7}{12}feet  

   2 13 feet2\ \frac{1}{3\ }feet  

Tags

CCSS.7.NS.A.1C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which real world context could be represented by -2 + 1 + 3?

A baby's weight decreased by two pounds, increased by one pound, and then increased by three pounds.

A share of stock decreased by two points, decreased by one point, then increased by three points.

The temperature increased by two degrees, increased by one degree, and then increased by three degrees.

A bank statement shows a withdrawal of two dollars, a withdrawal of one dollar, and a deposit of three dollars.

Tags

CCSS.7.NS.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 4+(3)9(5)-4+\left(-3\right)-9-\left(-5\right)  

Evaluate the expression:

21

3

0

-11

Tags

CCSS.7.NS.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a 5th number was added to this expression to make the value equal to 0, what would the 5th number be? 4+(3)9(5)-4+\left(-3\right)-9-\left(-5\right)  


-21

-3

0

11

Tags

CCSS.7.NS.A.1D

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