Solving Systems of Linear Equations: Vocabulary
Substitution Method
Graphing Method
Convert to Slope Int. Form
100
What is the first step in solving a system with linear equations? Fill in the blank. Identify the isolated ________.
100
Solve the following system of equations by substitution: y=1 y=x Remember write your answer as an ordered pair.
What is x=1, y=1 or (1, 1)
100
Solve the following system of equations by graphing. Identify the number of solutions; One, (write answer as an ordered pair) None, or Infinite and why? y=3x-4 y=3x-4
Answer: No Solution because the slopes are the same. Therefore, the lines are parallel.
100
Identify the slope in the this linear equation: y=2/3x-5
100
If both equations in a system have the different slopes and y intercepts, how many solution exist to the equations?
200
What are the two methods to solving systems of linear equations that we have discussed so far?
200
Solve the following system of equations by substitution: y=2 3x-5y=5 Remember write your answer as an ordered pair.
What is x=5, y=2 or (5, 2)
200
Solve the system of equations by graphing. y=-3/4x+2 y=1/4x-2 Remember write your answer as an ordered pair.
200
Identify the y-intercept in the following linear equation: y=-2x-6
200
This word is used to describe "replacing" a number into an equation for a variable.
300
The solution to a system of linear equations is always written as an ________ ________.
300
Solve the system of equations by substitution: y= -4 2x-y=-6 Remember write your answer as an ordered pair.
What is x=-5, y=-4 or (-5, -4)
300
Solve each system of linear equations by graphing. Identify the number of solutions: One (write as an ordered pair), None, or Infinite. y=-1/2x+3 y=-1/2x+3
Answer: Infinite solutions because the slopes and y intercepts are the same. (The equations are the same.)
300
Convert to slope intercept form: 4x+2y=2
300
If the slopes are the same but the y-intercepts are different, how many solutions are there? Why?
Answer: No solution because they don't intersect (they are parallel)
400
Daily Double: What's your wager? The solution to a system of linear equations is also called this the POI. What does POI stand for?
400
Solve the following system of equations using the substitution method: y=3x-5 y=7x-13
x = 2 and y = 1 or (2,1)
400
Solve the system of linear equations using the graphing method. y=-1/3x-2 y=2/3x+1
400
Convert to standard form: 3x+9y=-18
y=-3x-2
400
Identify step 2 when solving a system of linear equations with substitution: Step 2: Rewrite the second equation with __________
500
Lines that have the same slope and y-intercepts have how many solutions?