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Common Core HSA.SSE.B.3.A worksheet

High school · 16 questions · Common Core: HSA.SSE.A.2, HSA.SSE.B.3.A, HSA.REI.B.4.B · England: GCSE Foundation Algebra, GCSE Higher Algebra

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Question 1
Solve: x² + 15x + 54 = 0. Give both solutions, separated by a comma.
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Question 2
Factorise fully: x² + 3x − 4
Answer
Question 3
Solve: (x + 7)(x + 6) = 0. Give both solutions, separated by a comma.
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Question 4
Solve: x² − 4x = 0. Give both solutions, separated by a comma.
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Question 5
Solve: x(x − 8)(x + 2) = 0. Give all three solutions, separated by commas.
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Question 6
Solve: x² − 11x + 33 = 3. Give both solutions, separated by a comma.
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7
Question 7
Factorise: x² − 4x + 3
- A. (x − 1)(x + 3)
- B. (x − 1)(x − 3)
- C. (x + 3)(x + 1)
- D. (x + 1)(x + 3)
Question 8
Solve: (5x − 6)(x − 8) = 0. Give both solutions (fractions are fine), separated by a comma.
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Question 9
Solve: x² + 10x + 24 = 0. Give both solutions, separated by a comma.
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Question 10
Factorise fully: x² + x − 30
Answer
Question 11
Solve: (x − 5)(x + 5) = 0. Give both solutions, separated by a comma.
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Question 12
Solve: x² + 9x = 0. Give both solutions, separated by a comma.
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Question 13
Solve: x(x + 5)(x − 3) = 0. Give all three solutions, separated by commas.
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Question 14
Solve: x² + 3x + 3 = 1. Give both solutions, separated by a comma.
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15
Question 15
Factorise: x² + 11x + 30
- A. (x + 11)(x + 1)
- B. (x + 30)(x + 1)
- C. (x + 6)(x − 5)
- D. (x + 6)(x + 5)
Question 16
Solve: (5x + 1)(x − 1) = 0. Give both solutions (fractions are fine), separated by a comma.
x =

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Answer key: Common Core HSA.SSE.B.3.A worksheet