GHS Algebra I - Topic 9 Lesson 6: Quadratic Formula

When should you use the quadratic formula to solve equations? Select all that apply.

• When solving quadratic equations that are not factorable.

• When $a=0$ .

• When the degree of the equation is 3 or higher.

• When completing the square would result in many fractions.

• When the degree of the equation is 1 or 0.

Tags

CCSS.HSA-REI.B.4B

What is the discriminant?

• $y=mx+b$

• $b^2-4ac$

• $x=-\frac{b}{2a}$

• $Ax+By=C$

• $f\left(x\right)=a\left(x-h\right)^2+k$

Tags

CCSS.HSA-REI.B.4B

What does the discriminant reveal about the solutions to a quadratic equation? Select all that apply.

• If positive, there are two real solutions.

• The number of solutions equals the value of the discriminant.

• If zero, there is no real solution.

• If zero, there is one real solution.

• If negative, there are no real solutions.

Tags

CCSS.HSA-REI.B.4B

Determine the values of a, b, and c given $2x^2-3x-1=0$ .

•  $a=-1,\ b=-3,\ c=2$  

•  $a=2,\ b=1,\ c=0$  

•  $a=2,\ b=-3,\ c=-1$  

•  $x_1=-0.281,\ x_2=1.781$  

•  $a=4,\ b=-3,\ c=0$  

Tags

CCSS.HSA-REI.B.4B

What process can be used to derive the quadratic formula?

• Factoring.

• Systems of linear equations.

• Combining like terms.

• PEMDAS.

• Completing the square.

Tags

CCSS.HSA-REI.B.4B

What is the maximum number of solutions the quadratic formula can give?

• Zero.

• One.

• Two.

• Undefined.

• Infinite.

Tags

CCSS.HSA-REI.B.4B

Solve via the quadratic formula: $x^2-7=4x$  

•  $x=\frac{7\pm\sqrt{33}}{2}$  

•  $x=2\pm\sqrt{11}$  

•  $x_1=-7,\ x_2=4$  

•  $x=0$  

• No real solution.

Tags

CCSS.HSA-REI.B.4B

Use the discriminant to determine the number of real solutions for $f\left(x\right)=2x^2-3x-1$ .

• Zero

• One

• Two

• Seventeen.

• No real solution.

Tags

CCSS.HSA-REI.B.4B