Algebraic Inequalities Exploration

Name:

Date:

📚 Part 1: Quick Check — Symbols & Understanding

WALT: Explore algebraic inequalities and recognise their meaning.

Success criteria: I can identify inequality symbols, write simple inequalities from words and solve basic inequalities.

1. Which inequality matches "at least 12 years"?

x ≥ 12

x > 12

x ≤ 12

x < 12

2. Which algebraic inequality represents "Sarah has fewer than 7 pencils"?

p > 7

p < 7

p ≥ 7

p = 7

3. Solve: x + 3 < 7. Which is correct?

x < 4

x > 4

x ≤ 4

x = 4

4. Check all that apply: Which expressions describe values that are "no more than 5"?

x ≤ 5

x < 5

x = 5

x ≥ 5

✏️ Part 2: Write, Solve & Represent

Differentiation & dyslexia-friendly support: Use the sentence starters below if helpful: "Let the variable be ___." "Write the inequality: ___". Coloured pens or counters can help show solutions on number lines.

5. Write an inequality for this rule: "Tom must be older than 12 to join the club."

6. Solve and represent on a number line: 2x − 1 ≥ 5. Show working and write the final inequality solution.

7. Solve: 3x < x + 6. Show your steps and give the final solution (also show on the number line).

8. Extension challenge (create and explain): Create a short real-life scenario that can be written as an inequality. Write the inequality and explain how you would show it on a number line. (Advanced learners: include a variable on both sides or multiply/divide by a negative number.)