MathBrush
←  All problems

P6 Algebra basics

Today’s problem — free all day, every step. Every day has one.

Algebra — interpret

Tickets cost $4 each, with a booking fee of $4. The total cost in dollars is 4x + 4. What does x represent?

▶  Watch it drawn
Show the answerHide the answer

x is the number of tickets.

One step of the worked solution to Algebra — interpret, drawn in pencil.
5 steps, drawn in pencil

The pattern behind it: Algebra basics

Use a letter for an unknown number and work with what it means.

In this one. Match each part of the expression to the story: a repeated cost and a fixed fee.

3x + 5 = 233x23 - 5 = 18x18 / 3 = 6

How to spot it

A story with a repeated cost and a fixed fee, written as an expression like 4x + 4, points here. So does a value for x to substitute in.

Common mistake

Children swap the two numbers round, using the fixed fee as the price per ticket and the price per ticket as the fixed fee.

Try one like it

Standard Algebra — interpret Tickets cost $6 each, with a booking fee of $5. The total cost in dollars is 6x + 5. What does x represent?
All 10 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.