Two-Step Equations
Identify the Function
Number Patterns
Understanding Exponents
Key Features of Graphs
100
What is the value of x? -18 = 38 - 2x
x = 28
100
Is this scenario - linear, exponential, or quadratic? John deposited $2000.00 in a savings account. Each month, he will deposit an additional $25.00.
Linear
100
What comes next?
100, 90, 80 ...
70
100
What is 32?
9
100
Is the slope of the linear graph positive or negative?
positive
200
What is the value of x?
-17 = x/2 -20
x = 6
200
Is this scenario - linear, exponential, or quadratic?
In 2010, the population of a rural community in Iowa was 100 people. Every year since 2010, the population has doubled.
Exponential Growth
200
What comes next?
31, 46, 61 ...
76
200
What is 53?
125
200
Does the graph of the exponential function show growth or decay?
growth
300
What is the value of x?
10 - 5x = 0
x = 2
300
Is this scenario - linear, exponential, or quadratic? There are 20,000 owls in the wild. Every decade, the number of owls is halved.
Exponential Decay
300
What comes next?
26, 37, 48 ...
59
300
What is 451?
45
300
Does the graph of the quadratic function open up or down?
up
400
What is the value of x?
0 = -6x + 12
x = 2
400
Is this scenario - linear, exponential, or quadratic?
At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.
Linear
400
What comes next?
2, 27, 52 ...
77
400
What is -321?
-32
400
Is the vertex on the graph of the quadratic function, maximum or minimum?
minimum
500
What is the value of x?
29 = x/3 + 19
x = 30
500
Is this scenario - linear, exponential, or quadratic?
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. Gravity pulls it down, changing its position by about 5 m per second squared.
Quadratic
500
What comes next?
2, 6, 18 ...
54
500
What is 2-2?
1/4
500
Does the graph of the quadratic function have 0, 1, or 2 x-intercepts?
2