Math Systems of Linear Equations

Paul and Jacklyn are on a swim team. Paul has completed 140 laps so far this season. He completes an additional 12 laps during each practice. Jacklyn has completed 56 laps so far this season. She completes an additional 16 laps during each practice. Paul and Jacklyn each attend the same number of practices. After how many more practices will Paul and Jacklyn have completed the same number of laps?

• 3

• 7

• 21

• 49

A linear function of x is graphed on a coordinate grid. The points (6, 34) and (18, 26) lie on the graph of the function. What are the rate of change of the function and the value of the function when x = 24?

Match the following:

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

• Inspection

• 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

• Graphing

• two or more linear equations that use the same variables

• System of linear equations

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

• Solution of a system of linear equations

Match the following

• the point on the graph where the line crosses the x-axis (what is x when y=0)

• Y-intercept

• y=mx+b

  m is slope

  b is y-intercept

• Slope of a line

• the point on the graph where the line crosses the y-axis (what is y when x=0)

• Slope intercept form

• the change in y divided by the change in x (or rise over run)

• X-intercept

Please solve this equation

23 = x + 7

• x = 16

• x = 30

• x = 161

• None of these match my answer

Select all equations that are represented in this diagram.

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• 
• 
• 
• 

Please solve this equation

1.2x = 9.6

• x = 8

• x = 10.8

• x = 8.4

• None of these match my answer

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines