Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 For y = x + 2, what is y when x = 0? (this is the y-intercept)
Show worked solution
y = 0 + 2 = 2, so the y-intercept is (0, 2).
2 How many points should you plot before ruling a straight line?
Show worked solution
3 — the third catches arithmetic errors.
3 To find an x-intercept, what value do you set y to?
Show worked solution
0 — on the x-axis, y = 0.
Level 2 · Core
4 Find the y-intercept of y = 3x − 6. (write the y value)
Show worked solution
y = −6, so the intercept is (0, −6).
5 Find the x-intercept of y = 3x − 6. (write the x value)
Show worked solution
3x = 6, so x = 2 and the intercept is (2, 0).
6 A gym charges $50 to join plus $10 per week. Write the rule for cost C after w weeks. (as a rule)
Show worked solution
C = 10w + 50.
Level 3 · Challenge
7 Find the x-intercept of y = −2x + 4. (write the x value)
Show worked solution
2x = 4, so x = 2.
8 Gym A costs 10w + 50; Gym B costs 20w. After how many weeks do they cost the same?
Show worked solution
10w + 50 = 20w → 50 = 10w → w = 5 weeks.
9 Do the lines y = 2x + 1 and y = −x + 4 cross at (1, 3)?
Show worked solution
2(1) + 1 = 3 ✓ and −1 + 4 = 3 ✓ → yes.