Discriminant and Quadratic Formula
Authored by Henry Souza
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of 2x² + 3x + 4 = 0.
Answer explanation
Correct: **-23** (b² - 4ac = 3² - 4(2)(4) = 9 - 32 = -23). Errors: **41** (added instead of subtracting 4ac), **-15** (used c=3), **9** (forgot 4ac), **-32** (ignored b²).
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of x² + 2x + 5 = 0.
Answer explanation
Correct: **-16** (2² - 4(1)(5) = 4 - 20 = -16). Errors: **9** (only b²), **20** (added 4ac), **-4** (wrong a=2), **4** (wrong sign).
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of 3x² - x + 2 = 0.
Answer explanation
Correct: **-23** ((-1)² - 4(3)(2) = 1 - 24 = -23). Errors: **25** (added 4ac), **13** (wrong b=1), **7** (miscalculation), **-7** (partial subtraction).
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of x² - 4x + 4 = 0.
Answer explanation
Correct: **0** ((-4)² - 4(1)(4) = 16 - 16 = 0). Errors: **16** (ignored 4ac), **-16** (subtracted incorrectly), **8** (wrong b=2), **4** (partial calculation).
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of 2x² + 4x + 2 = 0.
Answer explanation
Correct: **0** (4² - 4(2)(2) = 16 - 16 = 0). Errors: **32** (added 4ac), **16** (only b²), **-8** (wrong sign), **8** (miscalculation).
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of 9x² + 6x + 1 = 0.
Answer explanation
Correct: **0** (6² - 4(9)(1) = 36 - 36 = 0). Errors: **36** (ignored 4ac), **72** (added 4ac), **-36** (subtracted incorrectly), **12** (partial subtraction).
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the discriminant of x² - 5x + 6 = 0.
Answer explanation
Correct: **1** ((-5)² - 4(1)(6) = 25 - 24 = 1). Errors: **49** (added 4ac), **-1** (sign error), **25** (only b²), **24** (only 4ac).
Tags
CCSS.HSA-REI.B.4B
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