Algebra 195: Quadratic Formula Quiz

What is the quadratic formula used to solve quadratic equations?

• x = -b ± √(b² - 4ac) / 2a

• x = b ± √(b² + 4ac) / 2a

• x = -b ± √(b² + 4ac) / a

• x = b ± √(b² - 4ac) / a

In the first example, what are the solutions for x?

• x = 3 and x = -5

• x = -3 and x = 5

• x = 5 and x = 3

• x = -5 and x = 3

For the second example, what are the values of a, b, and c?

• a = 1, b = 16, c = -10

• a = 1, b = -16, c = 10

• a = 1, b = -10, c = 16

• a = 1, b = 10, c = -16

What are the solutions for x in the second example?

• x = -8 and x = 2

• x = 8 and x = -2

• x = -2 and x = -8

• x = 2 and x = 8

In the third example, what is the approximate value of the square root of 24?

• 4.89

• 5.00

• 4.50

• 4.75

What are the rounded solutions for x in the third example?

• x = 1.6 and x = 6.4

• x = 1.5 and x = 6.5

• x = 1.7 and x = 6.3

• x = 1.4 and x = 6.6

What is the discriminant in a quadratic equation?

• b² + ac

• b² - 4ac

• b² + 4ac

• b² - ac

If the discriminant is negative, how many real solutions does the equation have?

• Two real solutions

• One real solution

• No real solutions

• Infinite solutions

What does a discriminant of zero indicate about the number of solutions?

• Infinite solutions

• No real solutions

• Two real solutions

• One real solution

In the final example, what is the value of the discriminant?

• 84

• -3

• 41

• 0