Algebra Chapter 3 Phase 3

Solving Systems of Equations

MATH BASKETBALL

First!

• Split teams up into THREE teams.

• Need one score-keeper.

Rules• The way I set it up is I roll a die. Whatever number it lands on the

corresponding group gets first chance to pick and answer the question. (Roll the die if it lands on a “2” then you read the question to group 2). They have 30/60 seconds to answer. At the end of 30/60 seconds one group member has to answer. If it is right they get the points. After that, roll the dice again for a new question. Now groups 1 and 3 are only ones that can get the chance to answer it first since group 2 already had their turn. If it lands on a 2, reroll. If it lands on a 1 then ask the question to that group and give them 3060 seconds to answer. If they get it right again give them 100 points if wrong roll the die and let a team steal it. After round one, Roll the die and now all groups can again be chosen.

“Steal”

• If they answer it wrong, it goes up for a “steal”. Quickly roll the dice and whatever number it lands on that group can try to answer if for half the points of the original. You can steal after getting it wrong. Its whatever the dice lands on. Every group should be working on each question in hopes it goes to a steal.

Shooting• When a team answers the question correctly (this does not

include “steals”), they can send one player from there team to shoot for the bonus. Use a trash can to shoot into. You can make a 100, 200 and 300 point shot for the further shots. If they make it tack it on to there score if they miss they do not lose points.

• Be sure to follow along with the rules of “moving” the basket.• You will have a 24 second “shot clock” from the moment your

team answers the question correctly.• If you shoot when it is not your turn, you will LOSE 500 PTS!

Categories

• Solving Graphically• Substitution• Elimination• Systems on Inequalities• 3 Variable Systems

Solving Graphically - 100

• Write a system of equations that has no solutions

Solving Graphically - 200

• Write a system of equations that has:

– A. One solution– B. Infinitely Many Solutions

Solving Graphically - 300

• Does the following system have one, zero or infinitely many solutions?

Solving Graphically - 400

Solving Graphically - 500

Substitution - 100

• Solve using substitution

Substitution - 200

Substitution - 300

• Solve using Substitution

Substitution - 400

Substitution- 500

Elimination- 100

Elimination- 200

Elimination- 300

Elimination 400

ELIMINATION 500

Systems on Inequalities100

Systems on Inequalities200

Systems on Inequalities300

Systems on Inequalities400

• An exam has two sections: a multiple choice section and an essay. You can score a maximum of 100 points. To pass the test, you must get at least 65 points on the essay. Write a system of inequalities to model passing scores. Then graph the system.

Systems on Inequalities500

• For your rock collection display, you want to have at most 25 samples. You want to have at least 3 times as many sedimentary samples as metamorphic samples. Write and graph a system of inequalities to model the situation.

Solving 3 Variable Systems100

Solving 3 Variable Systems200

Solving 3 Variable Systems300

Solving 3 Variable Systems400

• You have 17 coins in pennies, nickels, and dimes in your pocket. The value of the coins is $0.47. There are four times the number of pennies as nickels. How many of each type of coin do you have?

Solving 3 Variable Systems500

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes. a. Write a system of three equations that represent how much

food you bought. b. How much of each ingredient did you buy?