AQA · Mathematics · 8300
GCSE Maths: Algebra: collecting like terms
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Algebra: collecting like terms (Corbettmaths Video 9), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What does 'collecting like terms' mean in algebra?
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Combining terms that have the same variable(s) raised to the same power(s) by adding or subtracting their coefficients.
Simplify: y + y + y + y
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4y
Simplify: 3y + 2y
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5y
Simplify: 6w − 3w
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3w
Are 3a and 2b like terms?
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No. They have different variables, so they cannot be combined.
Simplify: 3a + 2b + 4a + b
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7a + 3b
Are y² and y like terms?
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No. They have different powers, so they cannot be combined.
Simplify: 7y² + 3y²
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10y²
Simplify: 4u − 6u
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−2u
Simplify: 2y + 4 + 3y − 1
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5y + 3
What is the error in simplifying x³ + x³ as 2x⁶?
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When adding like terms, you add the coefficients but keep the power the same. The correct answer is 2x³, not 2x⁶.
If an equilateral triangle has side length 2x + y, what is its perimeter?
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3(2x + y) = 6x + 3y
Simplify 9(y − 2) + 4y + 3
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13y − 15. Expand to get 9y − 18 + 4y + 3, then collect like terms: 13y and −15.
Simplify 5(x + 3y) + 2(2x − y)
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9x + 13y. Expand to get 5x + 15y + 4x − 2y, then collect like terms: 9x and 13y.
What is the first step when simplifying an expression like 3(x + 6) + 8?
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Expand the brackets by multiplying each term inside by the number outside.
When expanding 9(y − 2), multiply both terms inside the bracket by ?
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9
After expanding 5(x + 3y) + 2(2x − y), which terms are like terms that can be combined?
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The x terms (5x and 4x) and the y terms (15y and −2y).
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