Systems Review

What is a SYSTEM OF EQUATIONS?

• two or more equations involving the same variables

• absolute value solutions to an equation

• a graph of a line

• three equations with different variables

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 is STANDARD FORM of a linear equation?

• $Ax+By=C$

• $y=mx+b$

• $m=\frac{y_2-y_1}{x_2-x_1}$

• $y=ax^3$

How do you turn an equation in STANDARD FORM into SLOPE-INTERCEPT FORM?

• Solve the equation for y

• Graph the equation

• Do 25 push-ups

• Make a table of values

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 do you know if two lines are PARALLEL?

• their slopes are the same

• their slopes are negative reciprocals

• their y-intercepts are the same

• their y-intercepts are negative reciprocals

How do you know if a system of equations has INFINITELY MANY solutions?

• the two equations are exactly the same

• the two equations have the same slope

• the two equations have the same y-intercept

• the two equations are completely different

If you graph a system of equations and see PARALLEL LINES, what does this mean about the solution to the system?

• no solution

• one solution

• perpendicular lines

• infinitely many solutions

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