1. Algebra I EOC Review
April 30th

2. Writing equations and inequalities
An online movie rental company charges $25 per year to join. Members pay $1.50 for each movie they rent. Nonmembers may rent movies $3.50 each. Part A - Use the variable r to write expressions for the total cost for renting r movies for members and nonmembers. Part B – Use your expressions to determine the total coast for renting 9 movies. Part C – Write an equation to represent the point at which the cost of being a member equals the cost of being a nonmember. Then solve your equation and interpret your solution.

3. Writing equations and inequalities
A cab company charges a flat rate of $2 plus and additional $0.50 for every mile traveled. If Sara’s cab fare was $7.50, how many miles did she travel?

4. Writing equations and inequalities
Charles and Andrew are taking a trip to the pet store to buy some things for their new puppy. They know that they need a bag of food that costs $11, and also want to purchase some new toys that cost $3 each. Part A – If they have a total of $45 to spend, write and solve an inequality for finding the number of toys, t, they can buy. Part B – How many new toys can they buy?

5. Different Types of Solutions
One Solution
Infinitely Many Solutions
No Solution

6. Absolute Value Equations and Inequalities
𝑥−3 =7
−5 𝑥−2 =−20
𝑥−3 >4
2𝑥 +3≥9

7. Literal Equations
Solve for a specific variable using the same procedures as equations containing one variable. 𝑑= 𝑐 3 (𝑎−𝑏)

8. A relation in which each input is paired with exactly one output.
Functions
What is a function?
A relation in which each input is paired with exactly one output.

9. Domain and Range Domain Range
Emma’s cell phone plan charges $0.10 for each minute of talk time and a flat rate of $20 for her text messaging plan. The function f(x)= x represents the monthly cost of her cell phone plan, wehre x represents the total numer of minutes she talks on the phone.
Part A – Identify the independent and dependent variables.
Part B – What is the reasonable domain? What is the reasonable range?

10. Slope Slope Change in y over the change in x (rise over run)
Slope Formula
What is the slope of the line graphed?

11. How quickly is the linear function increasing or decreasing.
Rate of Change
SLOPE!!!
How quickly is the linear function increasing or decreasing.

12. m = slope/rate of change b = y-intercept
Slope –Intercept Form
𝑦=𝑚𝑥+𝑏
m = slope/rate of change
b = y-intercept
For the equation, y = -8x+12, identify the slope and y-intercept. Would this line be increasing or decreasing? Explain.

13. Graphing from Slope-Intercept Form
First, plot the y-intercept.
Use your slope (rise over run) to plot more points.
Connect.

15. Who has the greater average rate of change
Who has the greater average rate of change? What does this mean in context of the problem?

16. Either adding or subtracting Difference is constant
Arithmetic Sequences
Either adding or subtracting
Difference is constant
Explicit Formula: 𝑎 𝑛 = 𝑎 1 +𝑑(𝑛−1)
Recursive Formula: 𝑎 𝑛 = 𝑎 𝑛−1 +𝑑
Write an explicit formula for the sequence, 3, -3, -9, -15,….

18. Systems of Equations
Two or more linear equations with the same variables.
ONE soluation
Solve by:
Graphing
Substitution
Elimination

19. Find the solution by graphing the system. 𝑥+𝑦=6 𝑦= 1 2 𝑥−2

20. Find the solution by using substitution. 3𝑥−2𝑦=6 𝑥+2𝑦=10

21. Find the solution by using elimination. 3𝑥+2𝑦=2 5𝑥+4𝑦=6

22. Systems of Inequalities

23. Find the solution region by graphing the system. 𝑦>−𝑥+3 2𝑦+6≤𝑥