Writing expressions, equations, inequalities
Interpreting parts of a linear/exponential equation
Graphs and their solutions
Solving linear equations
Exponential growth/decay
100
When you find the product that means you used...
MULTIPLICATION
100
The change in an exponential function is called the
GROWTH/DECAY FACTOR
100
The point that touches the y-axis is called the
Y-INTERCEPT
100
If you see addition in an equation, how do you do the inverse?
DO SUBTRACTION
100
If a function is increasing, what does that say about the factor?
THE FACTOR IS LESS THAN 1
200
Write an expression for the following, using a variable:
The sum of a number and 12
x+12
200
In the expression, what does the 10 mean?
-2x+10
The start (when x=0)
200
Write the coordinates of a point on the graph for
3x+4y=24
(0,6) or (8,0) (as an example)
200
If double of a number is 88, what is that number?
44
200
Is this an example of exponential growth or decay?
GROWTH
300
Write an inequality for the following, using a variable:
Rita works for $7 each hour babysitting, and she wants to have at least $100 by the end of the week.
7x>=100
300
What does the 189 mean in this situation (read handout)
The number of visitors in the year 2009
300
What is the inequality for the following graph?
y<x+5
300
DAILY DOUBLE: Solve the following linear equation
1/2x+4=14
x=20
300
DAILY DOUBLE: The new owners of a house pay $410 annually for water. Every year the bill will increase by 1.2%. Write the equation to model the water bill over x years.
y=410(1.012)^x
400
DAILY DOUBLE: Write an equation for the following, using variables:
Matt makes 9 more than double the money Jeff makes.
M=9+2J
y=2x+9
400
The equation below models the amount of money gained from selling x bags of chips. What does the 4 represent?
y=4x
The price for each bag of chips
400
Which of the following points are on the graph of the equation -4x+3y-1=-6 (see handout)
B and D
400
Solve the following linear equation:
-6(2x+1)=-36
x=2.5
400
A savings account earns 7% interest each year, compounded monthly. If a person invests $200 and does not withdraw or deposit money, how much will there be in the account after 5 years?
$283.53
500
Write a system of inequalities for the following situation:
In a football game, the Ironclad Thunderhawks scores 6 points for each touchdown and 3 points for each field goal. In one game, the team scored at least 27 points total and made more touchdowns than field goals.
{(6x,+,3y,>=,27),( , ,x,>=,y):}
500
What is the percent change for the following equation:
y=123(0.89)^x
11% decrease
500
DAILY DOUBLE: Which graph represents the following equation (see handout)
y=3(1.5)^x
Blue graph (graph A)
500
Solve the following system of linear equations (see handout)
(3,9) or x=3 and y=9
500
An exponential function is written as below. Explain how this models exponential decay
f(x)=500(0.93)^x
The factor is the number in the parentheses. This shows how the function changes. Since it is less than 1, it means the function is decreasing, so decay