QUESTIONS
Question 1
Solve y(y−10) + 30 = 0 by using the quadratic formula. If there is no real solution, enter ∅.
Question 2
Solve 1/3u2 + 2/3u = −1/12 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Question 3
Use the discriminant to determine the number of real solutions to the quadratic equation.
64w2+96w+36=0
What is the number of real solutions?
- 0
- 1
- 2
Question 4
Solve 14n2 + 32n = −34 by using the quadratic formula. Simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Question 5
Use the discriminant to determine the number of real solutions to the quadratic equation.
−4z2 − 3z + 5 = 0
What is the number of real solutions?
- 0
- 1
- 2
Question 6
Solve 4d2 − 15d + 16 = 0 by using the quadratic formula. If there is no real solution, enter ∅.
Question 7
Solve 4z2 − 9z – 1 = 0 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Question 8
Solve d (10d − 9) + 1 = 0 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, do not use the ± sign, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Question 9
Solve 2w2 − 4w + 5 = 0 by using the quadratic formula. If there is no real solution, enter ∅.
Question 10
Solve 10a2 + 20a + 10 = 0 by using the quadratic formula. If there is no real solution, enter ∅.
Question 11
Use the discriminant to determine the number of real solutions to the quadratic equation.
−2a2 − 11a – 10 = 0
What is the number of real solutions?
- 0
- 1
- 2
Question 12
Use the discriminant to determine the number of real solutions to the quadratic equation.
−100a2 + 20a – 1 = 0
What is the number of real solutions?
- 0
- 1
- 2
ANSWERS
Question 1
Solve y(y−10) + 30 = 0 by using the quadratic formula. If there is no real solution, enter ∅.
Answer: y=∅
Question 2
Solve 1/3u2 + 2/3u = −1/12 by using the quadratic formula. Give an exact answer and simplify any fractions. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.
Answer: u= −1 + √3/2, −1−√3/2
Question 3
Use the discriminant to determine the number of real solutions to the quadratic equation.
64w2+96w+36=0
What is the number of real solutions?
- 0
- 1
- 2
Answer:……
Question 4…
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