Applying Operations with Rational Numbers to Expressions and Equations Bundle

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Taylor J's Math Materials
Grade Levels
7th - 10th
Resource Type
Formats Included
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  • Activity
11 student pages; 11 teacher pages
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Taylor J's Math Materials
Easel Activities Included
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Do your students need extra practice using the distributive property? In this bundles, students practice using the distributive property and utilize if-then statements to solve equations!

** SAVE 20% when you purchase the Complete Pack or SAVE 50% when you purchase the Year-Long Bundle**

What is covered:

- It reviews the following key terms: tape diagram, multiplicative inverse, additive inverse, isolate the variable, sales tax, discount, equivalent, order of operations, expression, investment, fee, deposit, withdrawal, gain, loss, addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality

Worksheet Breakdown:

1. Comparing Tape Diagrams and Algebraic Solutions Worksheet: Students use tape diagrams and write algebraic expressions

2. Writing, Evaluation, and Finding Equivalent Expressions Worksheet: Students are given 3 real life examples in which they must: create an equation and evaluate - the last example, students must also calculate the cost after a discount and sales tax

3. Investments Worksheet: Students are given a real life example to which they have to complete a register for a travel agency investment

4. Properties of Equality Worksheet: Students write if-then statements and prove that manipulating both sides of an equation in the same way will result in a true statement

5. Solving Problems Using Algebra Worksheet: Students practice solving real life problems algebraically and graphically using a tape diagram and also practice solving two-step and multi-step algebraic equations

*** Click on each individual resource for a more detailed description of what is covered


  • homework
  • guided notes
  • extra practice
  • bellringers or warm up
  • cut up and create stations around your room!
  • exit tickets
  • informal assessment
  • quiz or test prep

(11 Student Pages; 11 Teacher Pages)



- these FREEBIES

- the unit on Expressions & Equations

- the unit on Percents & Proportional Relationships

- the unit on Congruence

or my store for other material to supplement the 7th & 8th grade curriculum!

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Purchase of this product entitles the purchaser the right to reproduce the pages in limited quantities for single classroom use only. Resources may only be posted online if they are behind a password protected site.

©Taylor J's Math Materials, 2018-present

Total Pages
11 student pages; 11 teacher pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
Solve real-world and mathematical problems involving the four operations with rational numbers.
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, 𝘢 + 0.05𝘢 = 1.05𝘢 means that “increase by 5%” is the same as “multiply by 1.05.”
Solve word problems leading to equations of the form 𝘱𝘹 + 𝘲 = 𝘳 and 𝘱(𝘹 + 𝘲) = 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?


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