📚 Part 1: Solving Linear Equations

Success Criteria: I can solve linear equations step-by-step and check solutions using substitution.

1. Solve for x: 3x + 7 = 22

2. Solve for y: 2y - 5 = 13

3. Solve for m: (2m)/3 + 6 = 10

4. Check your answer from question 1 by substitution:

Part 2: Using and Rearranging Formulae

Success Criteria: I can substitute values into formulae and rearrange formulae for a specified variable.

5. The area of a rectangle is A = l × w. If A = 48 cm² and l = 8 cm, find w.

6. Rearrange the formula d = vt to make v the subject.

v = _______________

7. Using your rearranged formula from question 6, find v when d = 120 km and t = 3 hours.

Success Criteria: I can solve and graph linear inequalities.

8. Solve the inequality: 2x - 3 < 5

9. Graph the solution of the inequality: x + 4 ≥ 2

10. Solve the inequality: -3x + 1 > 4

11. Graph the solution of the inequality: 5 - 2x ≤ 1

12. Graph the inequality on a number line: -2 < x + 3 ≤ 4