Checkpoint 3

Maths Standard Year 11 - Module 1 Algebra - Lessons 9 to 13

Coordinates and linear tables Gradient as rate of change Intercepts and equations Direct variation

9 MC 3 short answer 25 min

0/10

Multiple Choice Score

Answer questions to see your score.

Part A - Multiple Choice

1A table has input 2 and output 16. Which ordered pair represents this row?

B. Ordered pairs are written input first, output second.

2Outputs are 20, 35, 50, 65 for inputs 0, 1, 2, 3. Is the table linear?

A. The output increases by 15 each time.

3A savings balance increases from $\$120$ to $\$210$ over 6 weeks. What is the gradient?

B. Change in savings is $\$90$ over 6 weeks, so $\$90/6 = 15$ dollars per week.

4A tank volume decreases by 4 L each minute. What is the gradient?

B. The volume is decreasing, so the gradient is negative.

5In $y = mx + b$, what does $b$ represent?

B. The intercept is the output when the input is zero.

6A taxi fare is $\$8$ plus $\$2.50$ per kilometre. Which equation gives cost $C$ for $k$ kilometres?

B. The fixed cost is 8 and the rate is 2.50 per kilometre.

7Which equation shows direct variation?

A. Direct variation has the form $y = kx$ and passes through the origin.

8A table includes $(0,0)$, $(2,14)$ and $(5,35)$. What is the direct variation equation?

B. $k = y/x = 14/2 = 7$ and $35/5 = 7$.

9Solve $20 + 5g = 50 + 2g$.

B. $3g=30$, so $g=10$.

Part B - Short Answer

1A distance table shows 0, 90, 180 and 270 km for times 0, 1, 2 and 3 hours.

a. Write the ordered pairs. 2 marks

b. Predict the distance at 5 hours and explain. 2 marks

Ordered pairs: $(0,0)$, $(1,90)$, $(2,180)$, $(3,270)$. The distance increases by 90 km each hour, so at 5 h it is 450 km.

2A table has outputs 18, 25, 32, 39 for inputs 0, 1, 2, 3.

a. Write the linear equation. 2 marks

b. Predict the output for input 6. 2 marks

The intercept is 18 and the repeated change is 7, so $y = 18 + 7x$. For $x=6$, $y=18+42=60$.

Use this checkpoint to consolidate linear relationships before attempting the full module quiz.