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Slope Intercept Form
Substitution
Elimination
Graphing
Inequalities
100
Write the following equation in slope-intercept form: 2x + y = 3
y=-2x+3
100
What are the steps when solving a system by substitution?
1. In either equation, get one variable by itself. 2. Substitute answer from step 1 into other equation, distribute and solve for first variable. 3. Plug answer from step 2 into either equation to solve for other variable. 5. Write in (x,y) form 6. Classify
100
What are the steps when solving a system of equations by elimination?
1. Stack you equations so your variables line up in the form Ax+By=C 2. Multiply either equation by any number in order to eliminate one variable, and/or eliminate 1 variable. 3. Solve for the remaining variable. 4. Plug the answer from Step 3 into either equation to solve for the second variable. 5. Write your solution as (x,y) 6. Classify.
100
What are the steps when solving a system of equations using graphing?
1. Get both equations in slope-intercept form 2. Graph 3. Identify the intersection point 4. Write solution as (x,y) 5. Classify
100
How do you determine whether to use a solid or dotted line when graphing an inequality?
The inequality sign. If the inequality sign is less or greater than, dotted line. If the inequality sign is less than or equal to, or greater than or equal to, solid line.
200
Write the following equation in slope-intercept form: 2y + 2x = 2
y=-x+1
200
Solve and Classify the following system by substitution: y=-5 5x+4y=-20
(0,-5) Consistent Independent
200
Solve and classify the following system of equations using the elimination method: x+y=6 2x-y=6
(4,2) Consistent Independent
200
How many solutions does a system in which the 2 equations have the same slope contain?
None, the lines are parallel so there is no solution.
200
You have just graphed the inequality y < 5x-5. What point would you plug in to determine where to shade, and would you shade above or below the line.
(0,0), Below
300
Write the following equation in slope-intercept form: 3x - 4y = 12
y= -3/4x - 3
300
Solve and classify the following system using the substitution method: x+7y=0 2x-8y=22
(7,-1) Consistent Independent
300
Solve and classify the following system using the elimination method: -8x-10y=24 6x+5y=2
(7,-8) Consistent Independent
300
Solve and classify the following system by graphing: x-y=3 7x-y=3
(-1,-4) Consistent Independent
300
Graph the inequality y <6x+1
On Smart Board
400
Write the following equation in slope-intercept form: 30y - 90 = 15x
y=1/2x+3
400
Solve and classify the following system using the substitution method: 7x+2y=-19 -x+2y=21
(-5,8) Consistent Independent
400
Solve and classify the following system using the elimination method: -16y+22+6x -11y-4x=15
(-1,-1) Consistent Independent
400
Solve and classify the following system by graphing: 8x+24y=48 -33y=11x + 33
No solution
400
Graph the system of inequalities: y≥x−3 y ≥ −x − 1
On Smart Board
500
Write the following equation in slope-intercept form: -36y + 12x - 360=0
y= -1/3-10
500
Solve and classify the following system using the substitution method: -7x+4y=24 4x-4y=0
(-8,-8) Consistent Independent
500
Solve and classify the following system using the elimination method: -5/7 - 11/7x=y 2y=7+5x
(-3,-4) Consistent Independent
500
Graph and classify the following system of equations using the graphing method: -250x+1000y=5000 24y=-6x+120
Infinite Solutions Consistent Dependent
500
Graph the system of inequalities: 4x−3y<9 x + 3y > 6 y≥0 x≥0
On Smart Board