Systems of Equations Review (Vocabulary and Skills)

2 or more linear equations with the same set of variables

• System
• System of Equations
• Linear Equations
• Quadratic Equations

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

-5 = 52

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

x = x

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

x=5

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

What is SLOPE-INTERCEPT FORM?

• $y=mx+b$

• $Ax+By=C$

• $m=\frac{y_2-y_1}{x_2-x_1}$

• $y=\left(x-a\right)^2$

What does a SOLUTION to a system of equations look like?

• an ordered pair

• an equation in slope-intercept form

• a graph of a line

• an orange llama

Which method have we been using in class to SOLVE A SYSTEM OF EQUATIONS?

• Graph the system and find where the lines intersect

• Lots and lots of prayers

• Using the slope formula

• Solving by substitution and elimination

How will you know if a system of equations has ONE SOLUTION?

• the lines will intersect

• the lines will be parallel

• the lines will be the exact same line

• the lines will be curvy