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?
Answer: Graphing and Substitution
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.
Answer: The solution is (4,-1)
200
Identify the y-intercept in the following linear equation: y=-2x-6
Answer: y=-6 or (0,-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?
Answer: The Point of Intersection
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?