Quadratic Equations Quiz

What is the purpose of the discriminant when solving quadratic equations?

• To determine the number and type of solutions

• To simplify the equation

• To factor the equation

• To find the vertex of the parabola

Tags

CCSS.HSA-REI.B.4B

Which equation has two real solutions?

• x^2 + 3x + 2 = 0

• 2x^2 - 5x + 3 = 0

• 3x^2 + 2x + 1 = 0

• 4x^2 + 4x + 4 = 0

Tags

CCSS.HSA-REI.B.4B

What is the solution to the equation x^2 + 6x - 10 = 0?

• x = -5, x = 2

• x = -2, x = 5

• x = -3, x = 4

• x = -4, x = 3

Tags

CCSS.HSA-REI.B.4B

How long will it take for a ball thrown vertically upward to hit the ground if its height is modeled by the equation h = -5t^2 + 33t + 4?

• t = 2 seconds

• t = 4 seconds

• t = 6 seconds

• t = 8 seconds

What is the solution to the equation x^2 - 8x + 16 = 0?

• x = 2

• x = 4

• x = 6

• x = 8

Tags

CCSS.HSA-REI.B.4B

Which equation has two non-real solutions?

• x^2 + 4x + 4 = 0

• 2x^2 + 3x + 1 = 0

• 3x^2 - 2x + 5 = 0

• 4x^2 - 5x + 6 = 0

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the value of b that ensures the equation 5x^2 + bx + 5 = 0 has two non-real solutions?

• b = -5

• b = 0

• b = 5

• b = 10

Tags

CCSS.HSA-REI.B.4B

What is the nature of the solutions for the equation 16x^2 + 8x + 1 = 0?

• Two real solutions

• One real solution

• Two non-real solutions

• No solution

Tags

CCSS.HSA-REI.B.4B

What is the purpose of the Quadratic Formula?

• To solve any quadratic equation

• To simplify the equation

• To factor the equation

• To find the vertex of the parabola

Tags

CCSS.HSA-REI.B.4B

Which equation has one real solution?

• x^2 + 2x + 1 = 0

• 2x^2 + 4x + 2 = 0

• 3x^2 + 6x + 3 = 0

• 4x^2 + 8x + 4 = 0

Tags

CCSS.HSA-REI.B.4B