Linear Systems Different Methods

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

Tags

CCSS.HSA.REI.C.9

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Tags

CCSS.8.EE.C.8B

Which method of solving a System of Equations is shown?

• Elimination

• Graphing

• Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Complete the chart for infinite solutions only

b

e

g

Same Slope

Lines are the same

Same y-intercept

Lines intersect once

Different y-intercept

Same or different y-intercept

Different Slope

Lines never intersect

Tags

CCSS.8.EE.C.8B

Systems of Equations

Match the following:

• any ordered pair that makes all equations in the system true

• Substitution

• Finding how many solutions there are just by looking at the equations in y=mx+b

• System of linear equations

• Finding the solution of a system by where they intersect on a graph

• Solution of a system of linear equations

• Finding the solution of by replacing a variable in one equation for what the variable equals

• Inspection

• two or more linear equations that use the same variables

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The tables of ordered pairs represent some points on the graphs of lines f and g.

Which system of equations represents lines f and g?

Tags

CCSS.8.EE.C.8C

The tables of ordered pairs represent some points on the graphs of two lines. Which system of equations is represented by the two lines?

Tags

CCSS.8.EE.C.8B

The tables of ordered pairs represent some points on the graphs of two lines. Which system of equations is represented by the two lines?

Hint: Don't use a spreadsheet! Use M531 and M51.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6