Solving Systems of Linear Equations: Vocabulary

Solving Systems of Linear Equations: Vocabulary

Substitution Method

Graphing Method

Convert to Slope Int. Form

Short Answer

100

What is the first step in solving a system with linear equations?
Fill in the blank.
Identify the isolated ________.

Answer: Variable

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

Answer: Slope =2/3

100

If both equations in a system have the different slopes and y intercepts, how many solution exist to the equations?

Answer: One solution

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.

Answer: Substitute

300

The solution to a system of linear equations is always written as an ________ ________.

Answer: Ordered pair

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

Answer: y=-2x+1

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

Answer: (-3,-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 __________

Answer: Parenthesis

500

Lines that have the same slope and y-intercepts have how many solutions?

Answer: Infinite Solutions

500

Use the substitution method to solve this system of linear equations:
y=-7x-3
y=8x+12
Remember write your answer as an ordered pair.

Answer: (-1,4)

500

Daily Double: What's your wager?
Wager:______
Graph x=-3 and describe the slope. Is it undefined or zero?

Answer: The slope is undefined and vertical at (-3,0).

500

Convert to slope intercept form:
5x+4y=-12

Answer: -4/5x-3

500

Fill in the blank.
The point of intersection is the same as the __________ to a system of equations.

Answer: solution

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