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Linear Word Problems

Challenge your students with word problems that translate into linear equations. These worksheets help students link mathematical representations to practical situations. Use them to reinforce understanding of linear relationships.

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Discrete or Continuous Linear Relationships 7th 8th Algebra teaching resource preview
Slope, rates & graphs

Discrete or Continuous Linear Relationships 7th 8th Algebra

A lesson/worksheet set teaching students to distinguish discrete versus continuous linear relationships, identify independent and dependent variables, and model real-world scenarios with tables, equations, and graphs.

Answers included
File
PDF
Level
7–8
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Linear Equation Word Problems – Notes + Homework teaching resource preview
Two-step & multi-step equationsSlope, rates & graphs

Linear Equation Word Problems – Notes + Homework

Make slope and intercepts meaningful through rental costs, business situations and other linear word problems . Students move from interpreting graphs to writing equations and finding unknown costs, times or starting values. Two sets of guided notes lead into corresponding homework, and worked answers support feedback on both calculations and the meanings of variables and units.

File
PDF
Level
9–12
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Linear Systems Age Word Problems teaching resource preview
Systems of linear equations

Linear Systems Age Word Problems

Practice setting up and solving linear equations and systems of linear equations through age-related word problems, at a high-school algebra level.

Answers included
File
PDF
Level
9–10
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Pairs of Linear Equations Worksheet 8.EE.C.8 teaching resource preview
Systems of linear equationsSlope, rates & graphs

Pairs of Linear Equations Worksheet 8.EE.C.8

Companion worksheet for a grade 8 pairs-of-linear-equations unit (CCSS 8.EE.C.8), providing graphing, algebraic-solving, and real-world application problems with a full answer key.

Answers included
File
PDF
Level
8
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Rate x Time: Distance Word Problems teaching resource preview
Slope, rates & graphs

Rate x Time: Distance Word Problems

Give students practice setting up and solving rate x time = distance word problems (including catch-up and opposite-direction/meeting scenarios) using a Rate/Time/Distance table method.

Answers included
File
PDF
Level
4–7
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Slope and Rate of Change teaching resource preview
Slope, rates & graphs

Slope and Rate of Change

A study-guide worksheet covering slope and rate of change: calculating rates from word problems, graphing slope between points, determining line equations from a slope and a point, identifying horizontal/vertical lines, and answering conceptual true/false questions about slope, with a full answer key.

Answers included Editable
File
Microsoft Word
Level
7–9
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Solving Systems of Linear Equations by Substitution Practice 1 teaching resource preview
Systems of linear equations

Solving Systems of Linear Equations by Substitution Practice 1

Move from applying substitution to building a system from a written situation. Students solve six given systems, then define variables and write equations for six word problems involving quantities, costs or dimensions. Answer pages include solution pairs and equation setups; provide separate working space so students can show substitutions and verify the result in both original equations.

File
PDF
Level
8–10
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Systems of Equations: Word Problems NOTES & PRACTICE teaching resource preview
Systems of linear equationsSlope, rates & graphs

Systems of Equations: Word Problems NOTES & PRACTICE

Guided notes and practice teaching students to set up and solve systems-of-equations word problems in slope-intercept and standard form, aligned to CCSS.MATH.CONTENT.8.EE.C.8 and 8.EE.C.8.C.

Answers included
File
PDF
Level
8
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Systems of Equations Task Cards teaching resource preview
Systems of linear equations

Systems of Equations Task Cards

Word-problem practice setting up and solving systems of equations, usable as task cards, small-group work, or a whole-class game.

Answers included
File
PDF
Level
8–9
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Systems of Equations Word Problems Guided Notes + Homework Set teaching resource preview
Systems of linear equationsTwo-step & multi-step equations

Systems of Equations Word Problems Guided Notes + Homework Set

Systems of Equations Word Problems Guided Notes and Homework Set This 9-12th grade math resource teaches students to solve systems of equations word problems . The guided notes allow learners to actively build knowledge by walking through examples and filling in key information. Students then apply what they learned by completing word…

File
PDF
Level
9–12
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TWO STEP EQUATIONS WORD PROBLEMS | MATH RESOURCE teaching resource preview Free download
Two-step & multi-step equations

TWO STEP EQUATIONS WORD PROBLEMS | MATH RESOURCE

10 word problems requiring students to write and solve two-step equations involving cost/quantity scenarios (delivery fees, ticket prices, rentals, etc.), multiple choice, with an answer key.

Answers included
File
PDF
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