Chapter 3 (Part 1) Review

Graphing Quadratics

100

What is the equation of the axis of symmetry for a quadratic in standard form?

x=-b/2a

200

What are the solutions to the quadratic from the table?

x=1, -1

300

Determine the solutions to the quadratic from the given graph. 

x= -1 , 3

400

What are the 5 points you would use to graph the following quadratic? (Make a table.)

y=x²-6x+5

x-> 1, 2, 3, 4, 5

y-> 0, -3, -4, -3, 0

500

Determine whether the function has a maximum or minimum.  Then find the vertex. 

f(x)= x²+8x+16

Minimum; (-4,0)

Factoring/Square Roots

100

Solve using Square Roots. 

x²+25=0

x= 5, -5

200

Solve by factoring. 

9x²-6x=0

x=0, 2/3

300

Correct and describe the error in the work below.

x²+2x=8

x(x+2)=8

x=8 or x+2=8

Final Answer: x= 8, 6

They were supposed to factor once they subtracted 8 over to the left hand side. 

x²+2x=8

x²+2x-8=0

(x+4)(x-2)=0

x= -4, 2

400

Solve by factoring. 

5x²-5x-60=0

x=4, -3

500

Solve by factoring. 

2x²=7x+15

x= 5, -3/2

Complex Numbers/Simplifying Radicals

100

Simplify, sqrt(-4)

2i

200

What is..?

(2-8i)-(3+6i)

-1-14i

300

What is...?

(5-4i)(5+4i)

41

400

Simplify sqrt(180)

6sqrt(5)

500

Solve, x^2 +18=2

x=4i, -4i

Quadratic Equation

100

What is the formula to find the discriminant and what does the discriminant tell you?

b²-4ac; the number and type of solutions

200

How many and what type of solutions does the quadratic have?

3x²-5x+2=0

Discriminant=1; two real solutions

300

Solve 9x²-6x-4=-5 using the Quadratic Formula. 

x= 1/3 

400

Solve 3x²+9x+6=0 using the Quadratic Formula. 

x=-1, -2

500

Solve 4x²+7=9x using the Quadratic Formula. 

x=9 + i sqrt(31)/8

x=9 - i sqrt(31)/8