Solving Equations

Absolute Value

100

How is the real absolute value of a real number x written?

What is |x|?

200

What are the solutions to |x+2|=5?

x=3

x=-7

300

What are the solutions to |2x-1|=5?

x=3

x=-2

400

What are the solutions to 3|x+2|-1=8?

What is x=1 and x=-5?

500

What are the solutions to 2|x+9|+3=7?

What is x=7 and x=-11?

Quadratic Functions

100

What are the following solutions to 2x²-x=3?

What is x=-1 and x=1.5?

200

Solve the following quadratic function by calculator

x²+5x+3=0

What is x=-.697 and x=-4.3?

300

Solve the following quadratic function by factoring

x²-5x+6=0

What is x=2 and x=3?

400

Solve the following quadratic function by completing the square

3x²=75

What is x=5 and x=-5?

500

Solve the following equation by using completing the square

3x²-96=0

What is x=+ or - 4 square root of 2

Cubic Functions

100

Find the x and y intercepts

f(x)=³√x-5

What is x=5 and y=-1.7?

200

Find the x and y intercepts

³√x  +3

What is x=-27 and y=3

300

Graph the function and analyze the domain, range, and intercepts

f(x)=³√x  -2

What is Domain and range: all real numbers

X-intercepts:(8,0)

Y-intercepts:(0,-2)

400

Find the minimum and maximum value for interval [-4,4]

f(x)=³√x=4

What is minimum 0 and maximum 2?

500

Solve the following cube root equation

5=³√7x+6

What is x=17?

Bonus

100

How many solutions does b²-4ac>0?

What is two real solutions?

200

An absolute value quantity is always...?

What is positive?

300

Solve the perfect square trinomial

x²+12x+36=25

What is x=-1 and x=-11?

400

Complete the square

x²+10x-1=0

What is x=-5 + or - √26

500

Quadratic functions can be written in what two forms?

What is vertex and standard form?