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 Simplify 4x + 3x. (as a simplified expression)
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4 + 3 = 7 lots of x, so the answer is 7x.
2 Simplify 9y − 2y. (as a simplified expression)
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9 − 2 = 7, so the answer is 7y.
3 Simplify 5p + p. (as a simplified expression)
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p means 1p, so 5 + 1 = 6 and the answer is 6p.
Level 2 · Core
4 Simplify 6a + 2 + 3a. (as a simplified expression)
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a terms: 6a + 3a = 9a. The 2 has no partner, so the answer is 9a + 2.
5 Simplify 7x − 2x + 4. (as a simplified expression)
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x terms: 7x − 2x = 5x. The 4 stays where it is, so the answer is 5x + 4.
6 Simplify 4m + 3 − m + 5. (as a simplified expression)
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m terms: 4m − 1m = 3m. Numbers: 3 + 5 = 8. So the answer is 3m + 8.
Level 3 · Challenge
7 Simplify 2t − 5t. (as a simplified expression)
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2 − 5 = −3, and the letter stays, so the answer is −3t.
8 Simplify 6y + 2 − 4y − 5. (as a simplified expression)
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y terms: 6y − 4y = 2y. Numbers: 2 − 5 = −3. So the answer is 2y − 3.
9 A rectangle has length 2x and width 3. Write a simplified expression for its perimeter. (as a simplified expression)
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2x + 3 + 2x + 3: the x terms give 4x and the numbers give 6, so the perimeter is 4x + 6.