Testing linear patterns

Complete the table for y = 3x - 2 when x = 0, 1, 2, 3.

Describe what happens to y = mx + c when c increases.

Make a conjecture about the graph of y = -2x + 5.

A student says every increasing pattern is linear. Give a counterexample.

Write the rule or formula most useful for Testing linear patterns.

Show how to check one answer using estimation, substitution or inverse operations.

Write one common mistake students make in Testing linear patterns and correct it.

Create a small table, diagram or equation that represents this topic.

State where units, exact form or rounding matter in this topic.

Write one exam-style short question on Testing linear patterns and solve it.

Use a table to test whether the sequence 4, 7, 10, 13 is linear and write a rule.

Compare y = 2x + 1 and y = 5x + 1 using a table and graph. Explain what changes.

Solve a multi-step problem involving Testing linear patterns and explain every step clearly.

Create a realistic word problem for Testing linear patterns, solve it and interpret the answer.

Compare two methods for a problem in Testing linear patterns and explain which is more efficient.

Write a worked solution that includes a check for reasonableness.

Create a problem with a deliberate trap, then solve it correctly and explain the trap.

Use a diagram, table, graph or equation to model a situation involving Testing linear patterns.

Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

Write a full-mark response to a challenging Testing linear patterns question, including reasoning and final answer.