The quadratic formula
10th grade (Year 11 in England) · 16 questions · Common Core: HSA.REI.B.4.B · England: GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Solve: 4x² + 23x − 6 = 0. Give both solutions (fractions allowed), separated by a comma.
x =
Question 2
How many real solutions does 2x² + 9x + 8 = 0 have?
- A. Two
- B. One (repeated)
- C. None
Question 3
Solve 4x² − 7x − 7 = 0 using the quadratic formula. Give the smaller solution to 2 decimal places.
Answer
Question 4
Solve: 2x² − 7x + 3 = 0. Give both solutions, separated by a comma.
x =
Question 5
How many real solutions does x² + 10x − 1 = 0 have?
- A. Two
- B. One (repeated)
- C. None
Question 6
Solve 2x² + 6x − 7 = 0 using the quadratic formula. Give the larger solution to 2 decimal places.
Answer
Question 7
Solve: 5x² − 21x + 18 = 0. Give both solutions (fractions allowed), separated by a comma.
x =
Question 8
How many real solutions does 4x² − 8x − 8 = 0 have?
- A. Two
- B. One (repeated)
- C. None
Question 9
Solve x² + 7x + 4 = 0 using the quadratic formula. Give the larger solution to 2 decimal places.
Answer
Question 10
Solve: 2x² − 7x + 3 = 0. Give both solutions, separated by a comma.
x =
Question 11
How many real solutions does 4x² + 5x − 3 = 0 have?
- A. Two
- B. One (repeated)
- C. None
Question 12
Solve x² − x − 7 = 0 using the quadratic formula. Give the larger solution to 2 decimal places.
Answer
Question 13
Solve: 2x² − 7x + 3 = 0. Give both solutions, separated by a comma.
x =
Question 14
How many real solutions does x² − 5x − 5 = 0 have?
- A. Two
- B. One (repeated)
- C. None
Question 15
Solve 2x² + 2x − 7 = 0 using the quadratic formula. Give the larger solution to 2 decimal places.
Answer
Question 16
Solve: 5x² − 31x + 6 = 0. Give both solutions (fractions allowed), separated by a comma.
x =
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