Algebra 1 Review: Tables, Graphs, Stories, Equations Name - Ms. Hale's ...
[Pages:3]Algebra 1 Review: Tables, Graphs, Stories, Equations
Name_____________________________
1) Look at the table of data to find the rate of change in the data (slope). Be prepared to explain how you can see the change in the table. 2) Graph. Be prepared to explain how you can see the rate of change (slope) and the start point in the graph. 3) Write a story that fits the data and the graph. 4) Write the equation that tells the same story about the data, the graph, the words.
1. Table
Graph
2. Table
Graph
x y (time) (distance)
0 0 1 2 2 4 3 6 4 8
x y (time) (distance)
0 1 2 3 4
Rate of change (slope) Story y-intercept (start point) Equation
Rate of change (slope) Story y-intercept (start point) Equation
3. Table
Graph
x y (time) (distance)
Rate of change (slope) .5 foot/second
Story
y-intercept (start point) 4 feet away
Equation y = .5x + 4
4. Table
Graph
x y (time) (distance)
Rate of change (slope) y-intercept (start point)
Story
Tom is 17 feet away. He walks toward you at the rate of 3 feet per second. How long does it take for him to reach you?
Equation
Algebra 1: Writing Equations from Stories
For each scenario write an equation that would represent the story. Think about everything you know about Slope or Rate of Change and Yintercept or Starting Points. Then use your equation to answer the given question.
5. You are going on a road trip with your family. You are already 30 miles into your trip and the speed limit is 75 miles per hour on the freeway. If x represents the number of hours you travel write an equation to figure out how many miles you will travel in 6 hours.
6. Courtney is collecting coins. She has 30 coins in her collection to start with and plans to give away 2 coins each week. If x represents the number of weeks how many coins does Courtney has in her collection after the first 8 weeks?
7. Your cell phone plan has a flat rate of $30 each month. For each text you send it costs $0.20. If x represent the number of texts that you send, what is your total monthly bill if you send 250 texts?
Starting Point/Y-intercept__________
Starting Point/Y-intercept__________
Starting Point/Y-intercept__________
Slope/Rate of Change_______________
Slope/Rate of Change_______________
Slope/Rate of Change_______________
Equation_________________________
Equation_________________________
Equation_________________________
Miles_________________________
Number of Coins________________
Cost__________________________
8. Jennifer can already run 5 miles per week and she plans to run 2 more miles each week. If x represent the number weeks she continues running how many miles will she be able to run in 8 weeks?
9. Linda always loses her tennis balls. At the beginning of the tennis season she has 200 balls. If she loses 3 balls per practice and she has 6 practices how many balls will she have at the end of the season? Let x represent the number of practices.
10. Joe is a professional Hot Dog eater. Before the competition he eats 4 hot dogs to stretch his stomach out. If x represents the number of minutes and the competition is 20 minutes long, how many hot dogs will Joe eat total if he eats 2 hot dogs per minute?
Starting Point/Y-intercept__________
Starting Point/Y-intercept__________
Starting Point/Y-intercept__________
Slope/Rate of Change_______________
Slope/Rate of Change_______________
Slope/Rate of Change_______________
Equation_________________________
Equation_________________________
Equation_________________________
Miles_________________________
Balls_________________________
Hot Dogs_____________________
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