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.
Level 1 · Warm-up
1 Write an expression for "6 more than n". (as a simplified expression)
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Start at n and add 6: n + 6.
2 Each cow has 4 legs. Write an expression for the number of legs on c cows. (as a simplified expression)
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Four legs on each of c cows gives 4 × c, written 4c.
3 Write an expression for "3 less than y". (as a simplified expression)
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You take 3 away from y, giving y − 3. Writing 3 − y reverses the story.
Level 2 · Core
4 Ana has d dollars and spends 12 dollars. Write an expression for the amount she has left. (as a simplified expression)
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She starts with d and 12 is taken away: d − 12.
5 Write an expression for "half of m, then add 9". (as a simplified expression)
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Half of m is m/2, then add 9: m/2 + 9.
6 A rectangle has length x and width 7. Write an expression for its perimeter. (as a simplified expression)
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x + 7 + x + 7 has two x sides and two 7 sides, giving 2x + 14.
Level 3 · Challenge
7 Write an expression for "add 5 to k, then multiply the result by 3". (as an expression with brackets)
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Adding first gives k + 5, and all of it is tripled: 3(k + 5).
8 Books cost b dollars each. Write an expression for the change you get from 50 dollars after buying 3 books. (as a simplified expression)
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Three books cost 3b dollars, and that comes off the 50: 50 − 3b.
9 A taxi charges 5 dollars to start the trip, plus 2 dollars for every kilometre travelled. Write an expression for the cost in dollars of a trip of n kilometres. (as a simplified expression)
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The kilometres cost 2n dollars, and 5 dollars is always added on top: 2n + 5.