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Solving Equations
What is the parent function?
Linear Functions
Quadratic Functions
Exponential Functions
100
The value of x for the equation 

3x+4=25

What is x=7
100

The equation for slope - intercept form

What is 

y = mx + b

100

The slope and y - intercept of the function 

y = -2x + 12

Slope = -2 

Y- intercept = (0,12)

100
Put the equation in standard form 


2x2 + 4x - 12 = -16

What is 

2x2 + 4x + 4 = 0 

100

Which is growth and which is decay 

1. y = 300(2)x

2. y = -3(1.5)x

3. y = 4(0.89)x

1. Growth

2. Growth 

3. Decay

200
The value of x for the equation 

3(x+5) + 4 = 46 - 6x

What is x = 3

200

The standard form equation for a linear function 

What is 

Ax + By = C

200

Set up the equation of a graph that has a rate of change of 1/2 and an initial value of -3

What is 

y = 1/2x -3

200

Identify the values of x that make the equation true. 

(x + 12)(x - 6) = 0 

x = -12

x = 6

200

Draw a sketch of a growth exponential function that has an initial value of 5

Graph seen on board 

300

The value of x for the equation 

-2(2x - 6) + 5 = 2x + 5

What is x = 2

300

Standard form for a quadratic function

What is 

Ax2 + Bx + C = 0

300

Create a table for the equation 

y= 3x - 5

x     |    y

-2    |   -11

-1    |    -8

0     |    -5

1     |     -2

2 | 1

300

Identify the solutions to the quadratic 

-4x2 + 2x + 8 = -4

What are 

(-1.5,0) and ( 2,0)

300

A bacteria culture starts with 200 and doubles every hour. Write an equation to represent the situation

y = 200(2)x

400

The value of n to make the equation true 

4n(3) + 2(3n-6) = 12n + 6

What is n = 3

400

Factored form for a quadratic 

What is 

(x - M1)(x - M2)

400

Set up the equation for the following situation.

Sally wants to join a gym, she knows that the amount she has to pay each month is $35, the sign up fee for the gym is also $12. 

How much will she pay for the entire year? 

y = 35x + 12

Early pay = $432

400

Factor the following quadratic 

x2 + 8x + 15

What are the solutions

What is 

(x+3)(x+5)

(-3,0) and (-5,0)

400

You put $500 in a savings account that has a 4% interest rate yearly . What is an equation to help you know how much money will be in the account after 10 years. What is the amount after 10 years? 

y = 500 (1.04)10

$740.12

500

There were some people on a train. At the first stop, 19 people got off. At the second stop, 17 people get on. There are now 63 people on the train. 

1. Set up an equation to represent the situation

2. How many people were on the train at the start? 

What is 

x - 19 + 17 =63

What is 

65 people 

500

Exponential Parent Function

What is 

y = abx 


500

Sandra wants to go to the market and buy apples and oranges. She knows the cost of apples is $1.25 and the cost of oranges is $1.75. She has a total of $32 to spend on fruit for the week. Use an equation to find out if its possible for her to buy 6 apples and 14 oranges? How do you know? 

32 = 1.25x + 1.75y or 1.25x + 1.75y = 32

Yes it is possible, the point (6,14) falls on the line

500
A ball is thrown from a height (feet) and the time is measured (seconds). The equation of the balls throw can be represented by the equation 

H(x) = - 5x2 + 20x + 60

The initial height of the ball? 

The total time it took the ball to hit the ground? 

Initial height = 60 feet

Total time = 6 seconds 

500

You buy a car for $30,000 that depreciates in value about 25% each year. What equation can help you determine the value of the car after 5 years? What is the value of the car after 5 years?

y = 30000(.75)5

y = $4746.09