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Graphing Linear Equations with a Table of Values Worksheet | Algebra 1

Graphing Linear Equations with a Table of Values Worksheet | Algebra 1

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

9 August 2026

pdf, 497.5 KB
pdf, 497.5 KB

A worksheet on drawing graphs of linear equations. Solutions are included.

Master drawing straight-line graphs using a table of values with this comprehensive, ready-to-print maths worksheet! Perfect for KS3, KS4, and GCSE Maths classrooms, this resource includes a complete set of fully worked step-by-step visual solutions to save you valuable marking time.

Help your secondary maths students master linear functions with this no-prep drawing graphs of linear equations worksheet! This resource features a clear, scaffolded design that guides students from completing a functional table of values to plotting straight lines accurately on a provided coordinate grid.
With 8 comprehensive, multi-step problems, this printable activity is ideal for introductory lessons, differentiation, quick homework tasks, or standard lesson worksheets. By working through varied algebraic functions—including positive, negative, and integer coefficients—students build solid conceptual foundations for coordinate geometry.

What’s Included in This Resource?
• 8 Structured Practice Problems: Questions requiring students to substitute values, complete function tables, and graph linear functions.
• Varied Linear Equation Formats: Covers a range of functions including basic lines (e.g., y = x + 3), steeper gradients (e.g., y = 3x), negative gradients (e.g., y = -2x), and varying y-intercepts (e.g., y = -4x + 3).
• Detailed Fully Worked Solutions: Completely plotted grids and filled-in data tables for every single problem to make marking or student self-checking effortless.

Core Skills Covered:
• Substituting input values ((x)) into linear formulas to calculate output coordinates ((y)).
• Completing a linear table of values accurately.
• Plotting coordinate points (ordered pairs) on a standard four-quadrant axis grid.
• Drawing straight-line graphs to visually represent algebraic equations.
• Developing an awareness of positive, negative, and zero gradients alongside y-intercepts.

Perfect For:
• Key Stage 3 (KS3) Maths Classes (Years 7–9)
• Key Stage 4 (KS4) & GCSE Foundation Tier Revision
• Homework, Classwork, Cover Work, or Math Stations
• Remediation, Intervention groups, and functional maths practice

Exam Board Alignment:
• Excellent preparation for Edexcel, AQA, OCR, and Cambridge International (CIE) specifications covering straight-line graphs, generating coordinates from a rule, and coordinate geometry.

Get this resource as part of a bundle and save up to 40%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Graphing Linear Equations & Slope-Intercept Form Bundle | Algebra 1

A collection of three worksheets on the following: * writing linear equations in slope-intercept form by rearranging them * matching graphs of linear functions to their equations * drawing graphs of linear equations. Solutions are included. Master drawing straight-line graphs and rearranging into y = mx + c form with this ultimate, no-prep maths worksheet bundle! Perfect for KS3, KS4, and GCSE Maths classrooms, this 3-resource collection features clear coordinate grids and fully worked step-by-step visual solutions to save you valuable marking time. ________________________________________ Help your secondary maths students master linear functions and coordinate geometry with this highly structured, print-and-go Straight-Line Graphs and Linear Equations Worksheet Bundle! This cost-saving collection contains three separate, expertly scaffolded resources designed to take students from foundational equation rewriting to reading plotted lines and manually drawing linear graphs using tables. Whether you need structured introduction packets, targeted homework assignments, no-prep cover plans, or complete exam revision, this comprehensive bundle provides the exact visual practice your algebra students need. **What’s Included in This Bundle?** This premium bundle includes three complete worksheets, each packed with a detailed, step-by-step visual answer key: **1. Rearranging Linear Equations into y = mx + c Worksheet** o 22 Rigorous Practice Problems: Students practice isolating terms to rewrite various linear equations into standard gradient-intercept format (y = mx + c). o Scaffolded Rigor: Moves from simple rearrangements (e.g., y + 3x = 7) to complex multi-step problems involving fractional gradients and negative y-coefficients (e.g., 30 = 5x + 15y). **2. Graphs of Linear Equations Worksheet (Matching & Writing Equations)** o Visual Concept Building: Students analyze coordinate planes to match straight lines to their corresponding equations. o Writing from Plots: Students look at a plotted line on a coordinate plane, calculate the rise-over-run gradient and y-intercept, and write the final equation. Includes horizontal lines (y = c). **3. Drawing Graphs of Linear Equations Worksheet (Table of Values)** o 8 Scaffolded Practice Problems: Students substitute input values (x) into given linear functions to fill in a data table of coordinates. o Manual Plotting Practice: Includes clear coordinate planes for students to accurately plot their calculated points and draw straight-line graphs. **Core Skills Covered:** • Rearranging algebraic formula to change the subject and isolate variable equations. • Identifying the gradient (slope) and y-intercept from both linear rules and graphs. • Evaluating equations and completing standard tables of values. • Plotting coordinate points on a four-quadrant axis grid. • Recognizing linear graph trends, including positive, negative, fractional, and zero gradients. **Perfect For:** • Key Stage 3 (KS3) Maths Classes (Years 7–9) • Key Stage 4 (KS4) & GCSE Foundation and Higher Tier Revision • Homework, Classwork, Cover Work, or Math Stations • Remediation, Intervention groups, and functional maths practice **Exam Board Alignment:** • Excellent preparation for Edexcel, AQA, OCR, and Cambridge International (CIE) specifications covering straight-line graphs, generating coordinates from a rule, change of subject, and coordinate geometry. ________________________________________

£2.65
Bundle

Straight Line Graphs and Equations Worksheets Bundle with Answers

A collection of of seven on straight line graphs and equations of straight lines. Students will practice: * drawing graphs of linear equations * matching graphs of linear functions to their equations * identifying the gradient of a line passing from two given points * identifying the gradient and the y-intercept of a line given its equation * working out the equation of a line given two points on the line * working out the midpoint of line segments given their end points * finding the equation of a line that passes through a given point and has a given slope * finding the equation of a line that passes through a given point and is parallel to a given line * finding the equation of a line that passes through a given point and is perpendicular to a given line Detailed solutions to all worksheets are included. Master coordinate geometry with this comprehensive, no-prep **Straight Line Graphs and Equations Worksheets Bundle with Answers!** This pack provides a complete collection of straight line graphs worksheets and coordinate geometry exercises, helping secondary maths students build absolute confidence in linear relationships. Whether your classes are just learning how to calculate rise over run or revising for their final GCSE exams, this pack offers targeted practice across all visual and algebraic representations. Complete with a **fully worked step-by-step solutions guide**, it is perfect for classwork, homework, cover lessons, or independent revision. **What is Included?** * **Drawing Graphs of Linear Equations:** Step-by-step tasks where students complete tables of values and plot straight lines on coordinate grids. * **Matching Graphs with Equations:** Visual matching exercises that test student understanding of lines, fractional gradients, and vertical or horizontal lines. * **Finding Equations from Graphs:** Exercises requiring students to look at plotted straight lines and calculate their exact linear equations. * **Gradients from Two Points:** Practice worksheets focusing on applying the gradient formula to pairs of positive, negative, and zero coordinates. * **Stating Gradient and Intercept:** Tasks testing students on identifying gradients and y-intercepts from standard, fractional, or rearranged linear forms. * **Equations from Points or Gradients:** Guided practice for writing the full equation of a line when given structural boundaries like points or constant rates. * **Line Segment Midpoints:** Clear exercises to help students successfully compute the exact midpoints of directed line segments. * **Complete Solutions Guide:** A highly detailed answer key showing every calculation step, making student self-marking easier than ever. **Key Concepts Covered** * Completing algebraic input-output tables to plot linear graphs on axes * Applying the gradient formula to positive and negative integer coordinate points * Isolating variables to transform linear equations into standard gradient-intercept form (y = mx + c) * Finding visual and mathematical rise over run directly from coordinate grids * Working out the exact midpoints of coordinates across all four quadrants **Curriculum Alignment** This resource directly supports algebraic reasoning and linear functions across secondary stages, aligning closely with: * **UK National Curriculum:** Key Stage 3 and Key Stage 4 Mathematics (Graphs of linear functions, finding gradients, midpoints, and formulating equations). * **GCSE Maths:** Essential Foundation and Higher tier preparation for linear graphs and coordinate geometry (AQA, Edexcel, and OCR). **Why Teachers Love This Resource** * **Zero Prep Required:** Just download, print the sheets, and hand them out to your classes immediately. * **Differentiated Scope:** Moves fluidly from basic coordinate grid plotting to multi-step algebraic manipulation. * **Perfect for Cover Lessons:** The highly detailed solutions guide lets cover teachers, parents, or students quickly trace exactly where a maths error occurred.

£6.50

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