Common Core HSA.REI.B.4.A worksheet
High school · 16 questions · Common Core: HSA.SSE.B.3.B, HSA.REI.B.4.A, HSA.REI.B.4.B · England: GCSE Higher Algebra
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Question 1
Rewrite x² − 10x + 11 = 0 as (x − 5)² = k. Find k.
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Question 2
Write x² − 10x + 27 in the form (x + p)² + q. What is p?
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Question 3
Find the turning point of y = x² + 4x + 10 by completing the square. Type it like (2, −1).
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Question 4
Solve x² − 6x + 7 = 0 by completing the square. Give the larger solution to 2 decimal places.
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Question 5
Solve x² − 6x + 1 = 0 by completing the square. Give exact answers.
- A. x = −3 ± 2√2
- B. x = 6 ± 2√2
- C. x = 3 ± 2√2
- D. x = 3 ± √17
Question 6
Rewrite x² − 2x + 10 = 0 as (x − 1)² = k. Find k.
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Question 7
Write x² + 4x + 12 in the form (x + p)² + q. What is p?
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Question 8
Find the turning point of y = x² + 10x + 15 by completing the square. Type it like (2, −1).
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Question 9
Solve x² + 8x + 5 = 0 by completing the square. Give the smaller solution to 2 decimal places.
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Question 10
Solve x² + 12x + 12 = 0 by completing the square. Give exact answers.
- A. x = −6 ± 24
- B. x = −12 ± 2√6
- C. x = −6 ± 2√6
- D. x = 6 ± 2√6
Question 11
Rewrite x² − 8x + 5 = 0 as (x − 4)² = k. Find k.
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Question 12
Write x² − 2x + 8 in the form (x + p)² + q. What is q?
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Question 13
Find the turning point of y = x² − 6x + 19 by completing the square. Type it like (2, −1).
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Question 14
Solve x² − 12x + 8 = 0 by completing the square. Give the smaller solution to 2 decimal places.
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Question 15
Solve x² − 6x − 12 = 0 by completing the square. Give exact answers.
- A. x = −3 ± √21
- B. x = 3 ± √21
- C. x = 3 ± √30
- D. x = 3 ± 21
Question 16
Rewrite x² + 8x − 9 = 0 as (x + 4)² = k. Find k.
Answer
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