All about Systems of Equations
Solving Systems of Linear Equations: Graphing
Solving Systems of Linear Equations: Elimination
Solving Systems of Linear Equations: Substitution
Applications of Systems
100
What is a the linear equation we use? (slope-intercept form)
y=mx+b
100
14) What is the solution to the system of linear equations?
(2,2)
100
Use the Elimination method to solve the system of linear equations:
4x + 8y = 20
-4x + 2y = -30
(7 , -1)
100
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
100
What is the first step when solving word problems with systems of linear equations?
Define the variables and write the equations.
200
True or False:
Each of the three methods you use when solving systems of linear equations will all give you the same answer.
True
200
What is the solution?
(-1,1)
200
Use the Elimination method to solve the system of linear equations:
−8x − 10y = 24
12x + 10y = 4
(7, -8)
200
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
200
Find the value of two numbers if their sum is 12 and their difference is 4
4 and 8
300
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
300
Solve the systems of linear equations by graphing:
300
Use the Elimination method to solve the system of linear equations:
y = -x - 2
y = -5x + 2
(1 , -3)
300
Solve the systems of equations using substitution:
2x - y = 6
x = y + 5
(1, -4)
300
Mrs. Pastala tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of questions are in there?
(30,8)
8 word problems
30 Multiple Choice
400
What does it mean to "find the solution" to a system of linear equations?
It means to find the point of intersection
400
Solve Using Graphing:
y = 5/3x + 2
y = -3
400
Use the Elimination method to solve the system of linear equations:
3x + y = 5
2x - 2y = -2
(1 , 2)
400
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
400
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior citizen ticket: $8, child ticket: $14
500
How do we write solutions to systems of linear equations?
(x,y)
500
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 1
(3,2)
500
Use the Elimination method to solve the system of linear equations:
6x + 4y = 42
-3x + 3y = -6
(5, 3)
500
Use the Substitution method to solve the system of linear equations:
x + y =6
4x - 2y = 30
(7,-1)
500
Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold?
(135, 186)
adults-135
Children- 186