AQA · Mathematics · 8300
GCSE Maths: Algebra: expanding brackets
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Algebra: expanding brackets (Corbettmaths Video 13), 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 is the result of expanding 5(y + 3)?
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5y + 15. Multiply 5 by each term inside the brackets.
What is the result of expanding 3(x − 7)?
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3x − 21. Multiply 3 by each term inside the brackets.
What is the result of expanding −2(w + 5)?
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−2w − 10. Multiply −2 by each term inside the brackets.
What is the result of expanding −9(3w − 5)?
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−27w + 45. Multiply −9 by each term: (−9)(3w) = −27w and (−9)(−5) = +45.
What is the result of expanding a(c + 2)?
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ac + 2a. Multiply the variable a by each term inside the brackets.
What is the result of expanding 2a(c − 3)?
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2ac − 6a. Multiply 2a by each term inside the brackets.
What is the result of expanding a(a + 2)?
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a² + 2a. Multiply a by each term: (a)(a) = a² and (a)(2) = 2a.
What is the result of expanding 2w(3w − 1)?
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6w² − 2w. Multiply 2w by each term: (2w)(3w) = 6w² and (2w)(−1) = −2w.
What is the result of expanding m(m² + 3)?
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m³ + 3m. Multiply m by each term: (m)(m²) = m³ and (m)(3) = 3m.
What is the simplified result of 5(y + 3) + 2(y + 7)?
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7y + 29. Expand to get 5y + 15 + 2y + 14, then collect like terms.
What is the simplified result of 7(2g + 3) − 5(g + 2)?
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9g + 11. Expand to get 14g + 21 − 5g − 10, then simplify to 9g + 11.
What is the simplified result of w(w + 5) + w(w + 7)?
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2w² + 12w. Expand to get w² + 5w + w² + 7w, then collect like terms.
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