Linear equations, inequalities and graphs

Solve 3x + 7 = 22.

Graph y = 2x + 1 for x = -2, -1, 0, 1, 2.

Solve x - 4 < 9 and show the solution on a number line.

A student solves 2x + 5 = 17 as x = 11. Find the error.

Write the rule or formula most useful for Linear equations, inequalities and graphs.

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

Write one common mistake students make in Linear equations, inequalities and graphs 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 Linear equations, inequalities and graphs and solve it.

Graph y = -x + 4 and explain the meaning of the intercepts in a simple context.

Solve 4x - 3 = 2x + 9 algebraically, then verify by substitution.

Solve a multi-step problem involving Linear equations, inequalities and graphs and explain every step clearly.

Create a realistic word problem for Linear equations, inequalities and graphs, solve it and interpret the answer.

Compare two methods for a problem in Linear equations, inequalities and graphs 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 Linear equations, inequalities and graphs.

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

Write a full-mark response to a challenging Linear equations, inequalities and graphs question, including reasoning and final answer.