Download 1172566Solving Systems of Linear Equations by

Solving Systems of Linear Equations
Name ___________________________
by Graphing, Substitution or Elimination
Hour
______
Situation 1- Solve by Graphing
I am thinking of two numbers. The second number is
2 less than 3 times the first number and the difference
of the two numbers is 4.
(let x = first number; let y = second number)
Equation #1: _________________________________
Equation #2: _________________________________
The 1st number is __________
The 2nd number is __________
Situation 2- Solve using Substitution
You and your friend went to a carnival together. You played
the ring toss game 5 times and the balloon & dart game 2 times
and spent $11.50. Your friend played the ring toss game 1 time
and the balloon & dart game 7 times and spent $15.50.
(let x = price of ring toss game;
let y = price of balloon & dart game)
Equation #1: ________________________________
Equation #2: ________________________________
The ring toss game costs ___________ and
the balloon & dart game costs __________
Situation 3- Solve using Elimination
Tanya’s family and Ella’s family both went to the circus.
Tanya’s family bought 4 tickets and 3 large bags of popcorn
and spent $63. Ella’s family bought 6 tickets and 3 large bags
of popcorn and spent $87.
(let x = price of a ticket to the circus;
let y = price of a large bag of popcorn)
Equation #1: ________________________________
Equation #2: ________________________________
Each ticket to the circus costs __________
and each large bag of popcorn costs _________
Situation 4- Solve by Graphing
A bag of mini donuts at the state fair costs $4 and a
Equation #1: ________________________________
bag of cheese curds costs $3. You spend $36 and buy
a total of 10 bags of mini donuts and cheese curds.
(let x = # of bags of mini donuts; let y = # of bags of cheese curds)
Equation #2: ________________________________
You bought ________ bags of mini donuts
and ________ bags of cheese curds.
Situation 5- Solve using Substitution
You are shopping for hot dogs and hot dog buns for a
barbeque with some friends. You buy 5 packages of hot
dogs and 4 packages of buns and spend a total of $21.
Each package of hot dogs costs twice as much as a package
of hot dog buns.
(let x = cost of a package of hot dogs;
let y = cost of a package of hot dog buns)
Equation #1: _________________________________
Equation #2: _________________________________
Each package of hot dogs costs _________ and
each package of hot dog buns costs _________
Situation 6- Solve using Elimination
2 large pizzas and 3 side orders of breadsticks costs $38.
3 large pizzas and 2 side orders of breadsticks costs $47.
(let x = cost of a large pizza;
let y = cost of a side order of breadsticks)
Equation #1: _________________________________
Equation #2: _________________________________
A large pizza costs ___________ and a
side order of breadsticks costs ____________