A worksheet on determining whether a relation represented by a set of ordered pairs, a table, a mapping diagram or a graph is a function or not.
Please download the preview to see a sample of the worksheet.
Detailed solutions included.
Are your secondary algebra students struggling to tell the difference between a relation and a function? This comprehensive, zero-prep practice worksheet is the perfect resource to help your students master identifying functions using multiple visual representations!
This packet provides clear, highly visual practice that is excellent for introductory lessons, homework assignments, or algebra revision before exams.
What is Included?
- Multiple Representations of Relations: Exercises challenge students to analyze data presented as sets of ordered pairs, input-output tables, and visual mapping diagrams.
- Vertical Line Test Practice: Features 8 different coordinate graphs—including linear, quadratic, cubic, circles, and discrete coordinate plots—so students can confidently master the vertical line test.
- Deep Conceptual Challenges: Includes critical test scenarios, such as unmapped domain elements and single inputs mapping to multiple outputs, to fully check student understanding.
- Fully Worked Solutions Manual: A complete, step-by-step visual answers guide featuring written explanations for every single problem, making marking, peer assessment, or self-checking a breeze!
Perfect For:
- Independent Classroom Practice
- Homework Assignments
- GCSE Revision and Exam Prep
- Cover Lessons / Supply Teaching (Zero Prep Needed!)
- Small Group Intervention or Extension Tasks
Curriculum Alignment:
- Key Stage 3 (KS3) Maths: Excellent extension and challenge for higher-ability students in Years 8 and 9.
- Key Stage 4 (KS4) / GCSE Maths: Perfect core practice for both Foundation and Higher tier students (Years 10 and 11) covering the Algebra strand.
Get this resource as part of a bundle and save up to 42%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Bundle
Algebra 1 Curriculum Bundle | Equations, Factoring, Systems, Polynomials & More
Streamline your math lessons with this complete Algebra 1 curriculum worksheets bundle. Covering equations, inequalities, factoring, simultaneous systems, functions, polynomials, and more, this comprehensive resource provides 20 ready-to-print lessons and full answer keys. Are your students struggling to keep up with the fast pace of Algebra 1? Do you find yourself spending hours hunting down high-quality practice problems for factoring, systems of equations, or polynomial operations? Take the stress out of your school year with this comprehensive Algebra 1 curriculum worksheets bundle! This massive, multi-unit collection features a carefully scaffolded learning track that moves students smoothly from foundational algebraic rules to advanced high school math concepts. **Full Breakdown of the 20 Worksheets Included:** This all-in-one resource delivers an expansive library of 20 distinct worksheets covering essential secondary algebra units. Each worksheet contains scaffolded exercises followed by a matching, step-by-step teacher answer key: **Worksheet 1:** Intro to Algebraic Notation & Simplifying Products **Worksheet 2:** Collecting Like Terms (Single Variable Addition & Subtraction) **Worksheet 3:** Simplifying Complex Multi-Variable Expressions **Worksheet 4:** Writing Expressions in Index Form (Laws of Exponents) **Worksheet 5:** Expanding Single Brackets (Distributive Property Basics) **Worksheet 6:** Expanding and Simplifying Expressions with Multi-Brackets **Worksheet 7:** Expanding Double Brackets & Polynomial Expansion **Worksheet 8:** Factoring Expressions (Finding the Greatest Common Factor) **Worksheet 9:** Factoring Complex Quadratic Expressions & Polynomials **Worksheet 10:** Introduction to Functions, Relations, & Function Notation **Worksheet 11:** Solving One-Step Linear Equations **Worksheet 12:** Solving Two-Step Linear Equations **Worksheet 13:** Solving Multi-Step Equations with Variables on Both Sides **Worksheet 14:** Solving Equations with Single Brackets **Worksheet 15:** Solving Complex Equations with Multiple Brackets **Worksheet 16:** Introduction to Fractional Equations (Basic Proportions) **Worksheet 17:** Solving Multi-Step Linear Equations Involving Fractions **Worksheet 18:** Solving and Graphing Linear Inequalities **Worksheet 19:** Simultaneous Equations (Systems of Equations by Substitution) **Worksheet 20:** Simultaneous Equations (Systems of Equations by Elimination) Note: Every single worksheet includes a complete, step-by-step teacher solution manual showing exact algebraic transformations and calculations. **Perfect For:** * Middle School Math (8th Grade): Advanced extension tracks and pre-algebra review. * High School Algebra 1: A full core instruction supplement or comprehensive daily homework routines. * Algebra 2 Remedial Review: High-utility fluency drills to fill in prerequisite gaps at the start of the year. * Sub Plans & Homework Packets: Clean layouts with clear instructions make these easy to use for independent study. **Educational Standards Covered** * CCSS 8.EE.C.7: Solve linear equations in one variable. * CCSS 8.EE.C.8: Analyze and solve pairs of simultaneous linear equations. * CCSS HSA-SSE.A.2: Use the structure of an expression to identify ways to rewrite it (Factoring). * CCSS HSA-APR.A.1: Add, subtract, and multiply polynomials. * CCSS HSA-REI.B.3: Solve linear equations and inequalities in one variable. **Why Teachers Love This Resource** * **Zero Prep Required:** Just print out the sections you need today, and your daily lesson plan or assessment tool is instantly ready! * **Scaffolded Progress:** The problem sets intentionally scale in difficulty to keep students from feeling overwhelmed. * **Spacious Formatting:** Clean design leaves plenty of breathing room for students to show their mathematical scratch work right on the sheet.
£18.99
Bundle
Algebra 1 Linear Functions & Systems of Equations Worksheets Bundle with Keys
A collection of six worksheets on the following topics. * Relations and Functions: determining whether a relation represented by a set of ordered pairs, a table, a mapping diagram or a graph is a function or not. * Determining if a Point is on a Line and Graph of a Line: examining if a point is on a line given the equation or the graph of the line * Finding Slope: finding the slope of a line given its equation or its graph * Finding the Equation of a Line: finding the equation of a line given a point on the line and the slope of the line, two points on the line, a point on the line and that it is perpendicular to one of the axes or the graph of the line * Solving Systems of Equations by Substitution * Solving Systems of Equations by Elimination Detailed solutions are included. **Are you looking for a complete, zero-prep resource package to help your students master linear algebra, graphs, and simultaneous equations?** Save time and energy with this comprehensive **6-Worksheet Secondary Maths Bundle**! This collection seamlessly combines procedural drill practice, visual coordinate graphing, real-world word problems, and advanced geometric extensions to build true math mastery. Every single worksheet in this bundle is carefully scaffolded, moving students naturally from basic foundational rules to complex multi-step problem-solving. It is the perfect standalone curriculum supplement for independent practice, homework assignments, exam revision, or zero-prep cover lessons! **What Units Are Included in This Worksheets Pack?** **1. Relations and Functions:** Students master identifying functions using multiple representations, including ordered pairs, data tables, input-output mapping diagrams, and visual coordinate graphs utilizing the vertical line test. **2. Points on a Straight Line Graph:** Clear substitution practice where students verify if coordinate pairs lie on a line, calculate x- and y-axis intersections, solve for missing constants, and sketch linear functions on a grid. **3. Finding Gradients (Slope):** Comprehensive practice finding the gradient from linear equations (including slope-intercept form, standard form, and rational fractional coefficients) and rise-over-run coordinate graphs. **4. Solving Inequalities:** Scaffolded practice guiding students step-by-step through one-step, two-step, and advanced multi-step linear inequalities featuring brackets, distribution, fractions, and contextual word problems. **5. Finding the Equation of a Line:** Students practice constructing straight-line equations from points, gradients, horizontal/vertical lines, perpendicular constraints, linear graphs, and practical real-world technician cost scenarios. **6. Simultaneous Equations by Substitution:** Complete algebraic practice verifying solutions, using variable substitution methods (including expanding brackets first), and constructing systems to solve items, costs, and ratio word problems. **Standout High-Value Features:** * **Advanced Geometric Challenge Extensions:** Select enrichment sections push student understanding by requiring them to find straight-line intersections and calculate the exact area of bounded coordinate triangles. * **Complete Step-by-Step Solutions Manuals:** Every single worksheet includes a fully worked-out visual answers guide showing all algebraic manipulation, coordinate steps, tables, and perfectly plotted line graphs for effortless marking or student self-checking! * **Ready-to-Print Resource:** No formatting, no fuss, and zero prep work required. Just download the student worksheets and you are ready to go! **Perfect For:** * Complete Unit Curriculum Supplements and Resource Packs * Independent Classwork or Daily Homework Assignments * Rigorous GCSE Revision and End-of-Topic Exam Prep * Maths Stations, Rotations, or Small Group Intervention * Secondary Cover Lessons and Supply Teaching (Zero Prep Needed!) **Curriculum Alignment:** * **Key Stage 3 (KS3) Maths:** Excellent extension and challenge for higher-ability students in Years 7, 8, and 9 learning about coordinate geometry, linear graphs, and inequalities. * **Key Stage 4 (KS4) / GCSE Maths:** Perfect core practice for both Foundation and Higher tier students (Years 10 and 11) covering the core Algebra and Graphs curriculum strands.
£6.90
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£1.60