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Linear Functions Tables

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Linear Functions Tables worksheet preview

Linear Functions Tables

Linear function graph illustration

🎯 WALT: Generate tables of values using linear functions

Success Criteria: I can create tables of values for simple linear function rules and recognise patterns.

1. Use the function machine rule y = 2x + 3 to complete this table:

When x = 0, y = _____ | When x = 1, y = _____ | When x = 2, y = _____ | When x = 3, y = _____

2. A plant grows 4 centimetres each week. If it starts at 10cm tall, complete the table:

Week 0: _____ cm | Week 1: _____ cm | Week 2: _____ cm | Week 3: _____ cm

3. Which function rule matches this table? (x: 0,1,2,3 and y: 5,8,11,14)

y = x + 5

y = 3x + 5

y = 2x + 3

y = 5x

4. Sarah saves $8 each week. She starts with $15. Write the function rule:

y = ________________

📊 WALT: Plot points and describe linear patterns

Success Criteria: I can plot points on the Cartesian plane and describe the straight-line pattern.

5. Plot these points from the function y = x + 2 on graph paper:

(0,2), (1,3), (2,4), (3,5)

6. What do you notice about the points when you join them with a ruler?

They form a curved line

They form a straight line

They form a zigzag pattern

They don't connect

7. Look at the function y = 3x + 1. How much does y increase when x increases by 1?

y increases by _____ each time.

8. Describe in your own words what happens to the graph when the number in front of x gets bigger:

🔍 WALT: Recognise linear relationships in real life

Success Criteria: I can explain how linear functions show constant growth or change in everyday situations.

9. A taxi charges $4.50 to start, then $2.20 per kilometre. Which situations would create a linear pattern? (Tick all that apply)

The total cost for different distances

The driver's mood during the trip

The time taken for different distances

The number of passengers

10. Create your own real-life example of a linear function and write the rule:

Situation: ________________________________________________

Function rule: y = ________________

11. Explain why linear functions always create straight lines when graphed:

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