Solve Systems by Graphing: Key Concepts and Techniques

What should you have ready before starting Unit 3?

• A laptop and a notebook

• A textbook and a highlighter

• A foldable, notes, and something to write with

• A calculator and a ruler

What is a system in algebra?

• A single equation with one variable

• A collection of two or more equations with the same unknown variables

• A set of numbers that solve an equation

• A graph with multiple lines

What is a solution to a system of equations?

• A graph that shows the intersection of lines

• A numerical value for each variable that satisfies each equation in the system

• A method to solve equations

• A point that satisfies only one equation in the system

In the example given, why is the point (-2, 3) not a solution to the system?

• Because it is not an ordered pair

• Because it does not satisfy the second equation

• Because it does not satisfy the first equation

• Because it satisfies both equations

What method will be discussed tomorrow according to the video?

• Elimination method

• Matrix method

• Substitution method

• Graphing method

What is the first step in graphing the equation x + y = 1?

• Add x to both sides

• Divide both sides by y

• Subtract x from both sides

• Multiply both sides by x

What is the slope-intercept form of the equation y = -x + 1?

• y = 2x - 8

• y = x + 1

• y = mx + b

• y = -x + 1

Where do the lines x + y = 1 and y = 2x - 8 intersect?

• (1, -1)

• (0, 1)

• (-2, 3)

• (3, -2)

What does it mean if two lines are parallel in a system of equations?

• They intersect at one point

• They have one solution

• They have no solutions

• They have infinitely many solutions

What does it mean if two lines in a system are the same?

• They have infinitely many solutions

• They have no solutions

• They intersect at one point

• They have one solution