Graphing
Substitution
Elimination
Elimination with Multiplication
Systems of Linear Inequalities
100
Where is the solution of a system of equations on a graph?
Where the lines intersect.
100
When is it best to use substitution?
When the coefficient is 1 or -1 for one of the variables.
100
What are you doing when you are using elimination with subtraction or addition?
Trying to get rid of a variable.
100
If you are solving by elimination, when would you have to multiply one or both equations?
When none of the variables will cancel each other.
100
Write the 4 types of inequality signs and describe how you would shade and what type of line you would graph (solid or dotted).
greater than (dotted, shade up)
less than (dotted, shade down)
greater than of equal to (solid, shade up)
less than or equal to (solid, shade down)
200
When is there no solution?
When the lines are parallel
200
What does it mean to get a solution of 12=12?
There are infinite solutions
200
When is it best to use elimination with addition or subtraction?
When the coefficients are the same or opposites for a variable.
200
What is it called when you have two equations with two variables?
system of equations
200
What does a solid line on a graph represent?
That the line is included in the solution set or that it's a less than or equal to or greater than or equal to.
300
How many solutions do 2x + 3y = 0 and x + 2y = –1 have?
One solution
300
Use substitution to solve and show your work
y=4x-6
5x+3y=-1
Write the solution as a point.
(1,-2)
300
Solve using Elimination. Show your work.
-4x+3y=-3
4x-5y=5
(0,-1)
300
Use elimination to solve the system of equations. Show your work.
9x+y=13
3x+2y=-4
(2,-5)
300
Solve the system of inequalities by graphing. Sketch a graph to show your answer.
3x+y<=2
y>=-4
Show teacher.
400
Use graphing to find the solution.
–4x + 3y = 12 and x + y = 2
You must put both equations in slope intercept form first.
(-1,3)
400
Solve using substitution and show your work.
y +12 = 5x
6y - 4x = 6
Write your answer as a point.
(3,3)
400
Solve for b and c using elimination. Show your work
8b+3c=11
8b+7c=7
b=1.75
c=1
400
Write the system of equations that represents the following and solve.
Jack spent $35.50 on 5 fries and 8 burgers. Katherine bought 2 fries and 4 burgers for $17.
How much does a burger cost?
$3.50
400
Solve the system of inequalities by graphing
y>3
y<1
Show teacher.
500
Find the solution for y=3x+3 and 3x-y=2.
Show your work!
No solution, parallel lines
500
A store sold a total of 125 car stereo systems ans speakers in one week. The stereo systems sold for $104.95 and the speakers sold for $18.95. The sales from these two items totaled $6926.75. How many of each item did they sell?
53 stereo systems and 72 speakers
500
Negative three times one number plus five times another number is -11. Three times the first number plus seven times the other number is -1. Find the numbers.
2 and -1
500
Use elimination to solve for y. Show your work
5x+4y=-10
3x+6y=-6
y=0
500
What systems of inequalities are represented in this graph?
Remember to look for y-intercepts, slope, and what type of lines are used.
y >= -x - 3
y <= 2x + 3