🎯 WALT: Solve one- and two-step linear equations using algebraic techniques

Success Criteria: I can use inverse operations to solve equations and check my solutions by substitution.

1. Solve these one-step equations. Show your working:

a) x + 7 = 15

b) 3m = 21

c) y - 4 = 11

2. Solve these two-step equations. Show each step clearly:

a) 2x + 5 = 17

b) 4n - 3 = 13

3. Check your answer to question 2a by substituting back into the original equation:

4. Extension Challenge: Solve 3(x + 2) = 18

📊 WALT: Represent linear equations graphically and understand the connection to algebraic solutions

Success Criteria: I can graph linear equations and explain how the graph relates to the algebraic solution.

5. Complete the table for the equation y = 2x + 1, then plot the points:

x | -2 | -1 | 0 | 1 | 2
y | ___ | ___ | ___ | ___ | ___

6. Look at your graph from question 5. What is the y-value when x = 0?

y = _____ (This is called the y-intercept)

7. Multiple Choice: If you solved 2x + 1 = 7 algebraically, what would x equal?

x = 2

x = 3

x = 4

x = 5

8. Find this point on your graph from question 5. Circle it and explain the connection between your algebraic solution and the graph:

9. A mobile phone plan costs $25 per month plus $0.50 per text message. Write an equation for the total cost (C) if you send t text messages:

C = _______________

10. Using your equation from question 9, how many text messages could you send if your budget is $35?

11. Which method do you prefer for solving linear equations - algebraic or graphical? Explain why: