Algebra 1: Solving Quadratic Equations Jeopardy

Solve each equation by factoring.

100

x² + -2x - 15 = 0

5, -3

200

x² − 5x − 14 = 0

{7, −2}

300

x² − 4x + 4 = 0

2,2

400

x² = 18x + 40

{20, −2}

500

What is the factored form of 𝑥² + 10𝑥 + 25 = 0?

(𝑥 + 5) (x+5)=0

Solve using square roots.

100

x² + 25 = 125

x= 10 or x = -10

200

Find the value of x in 𝑥² =4

-2,2

300

Find the solution set of the equation 2𝑥² – 32 = 0.

-4,4

400

4𝑥² = 16

-2,2

500

Applying the method of extracting the square roots, solve for x in 4x² – 9 = 72

x=± 9/2

Finding GCF

100

Find the GCF of 8 and 4.

4

200

b² − 4b + 4 = 0

{2,2}

300

Find the GCF of 4𝑥² and 8𝑥.

4x

400

Find the GCF of 𝑥² and 𝑥.

x

500

Find the GCF of 5𝑥³ and 10𝑥².

5x²

☠Pick your Property

100

What property of exponents denote 𝑥⁰=1 ?

Law of Zero Exponent / Zero Exponent Property

200

What property of exponents denote 𝑥²/𝑥=𝑥?

Law of Quotient

300

What property of exponents denote (𝑥²)(𝑥)=𝑥³

Law of Product

400

What property of exponents denote (𝑥²)⁴=𝑥⁸

Law of Power of a Power

500

Evaluate (𝑥²)³(5𝑥)=

5x⁷

RANDOM QUESTIONS

100

Which of the following denotes a square root expression?

                                                

a. ³√𝑏  

b. 𝑏³        

c. 〈𝑏〉  

d.  √𝑏

d

                                                                                                          

200

How do you describe (the signs) of the square root of a positive real number?

a. positive & positive   

b. positive & negative  

c. negative & negative 

d. none of them

b

300

Simplify √50.

a. 25

b. 2√5

c. 5√2

d. 5

c

400

Which of the following quadratic equations cannot be factored?

A. 𝑥² + 3𝑥 + 2 = 0         

B. 𝑥² − 4𝑥 + 4 = 0    

 C. 𝑥² + 3𝑥 − 18 = 0  

 D. 𝑥² + 2𝑥 − 1 = 0

d

500

What are the roots of                                    

𝑥² -7x + 10=0?

5,2