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Mastering Linear Graphs in GCSE Mathematics: Drawing and Analyzing Graphs

Enhance your GCSE Mathematics skills with targeted practice on linear graphs in Unit 4 Algebra. This practice guide covers drawing and using graphs for equations like y = 2x - 3 and y = 3x - 2. It includes exercises for estimating minimum values of quadratic and cubic functions using graphs. Work through tables of values to accurately plot points on grids, and utilize your graphs to find specific values of x and y. Ideal for students targeting a strong understanding of linear relationships in algebra, this resource provides essential practice and mastery techniques.

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Mastering Linear Graphs in GCSE Mathematics: Drawing and Analyzing Graphs

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  1. GCSE Mathematics Targeting Grade C Unit 4 Algebra 4 Linear Graphs

  2. Practice 1: Draw the graph of y = 2x - 3 Practice 2: Draw and use the graph of y = 3x - 2 Practice 3: Draw and use the graph of y = x -3x +1 Practice 4: Draw the graph of y = x + x - 2 • Can You ? • If not you need • Work out table of values and draw • the graph • Use a graph to find the value • of x and y • Draw the graph of a quadratic function and estimate the minimum value of y • Draw the graph of a cubic function 2 3

  3. (a) Copy and complete the table of values for y = 2x – 3 -7 -3 -1 1 Copy the grid and draw the graph of: y = 2x - 3 Click for answers Lesson

  4. (a) Copy and complete the table of values for y = 3x – 2 Click mouse for answers -8 -2 1 4 (b) Copy the grid and draw the graph of: y = 3x - 2 • (c) Use your graph to find • The value of y when x = -2 • The value of x when y = 5 y = -8 x = 2.25 Another question

  5. 3(a) Copy and complete the table of values for y = 2x + 3 (b) Copy the grid and draw the graph of: y = 2x + 3 • (c) Use your graph to find • The value of y when x = -1 • The value of x when y = 5.4 Lesson

  6. 2 4(a) Complete the table for y = x – 3x + 1 (b) Copy the grid and draw the graph of y = x - 3x +1 2 (c) Use your graph to find an estimate for the minimum value of y. Lesson

  7. 3 5. (a) Copy and complete the table of values for y = x + x - 2 (b) Copy the grid and draw the graph of: Y = x + x - 2 3 Lesson

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