Chapter 5 Algebra

Vocab

100

A ___________________________________ is a set of two or more linear equations in the same variables.  An example is shown below:

    y=x+1

    y=2x-7

System of Linear Equations

200

A _____________________________________ in two variables is an ordered pair that is a solution of each equation in the system.  The solution of a system of linear equations is the point of intersection of the graphs of the equations.  (The point that the lines cross)

solution of a system of linear equations

300

A line that goes up or down at a constant rate

What is a linear equation?

400

Draw a graph AND explain your answer:

How many solutions are there to a system of two lines that intersect once have?

One solution

500

Draw a graph AND explain your answer:

How many solutions are there to a system of two lines that do not intersect?

no solution 

Slope-Intercept Form

100

Is the following slope intercept form:

y = 2x + 3

yes

200

Rewrite x + y=6 in slope-intercept form

y = -x + 6

300

Write your own equation that is in slope intercept form

y = mx + b

400

Rewrite 2x−y=4 in slope-intercept form.

y = 2x - 4

500

Rewrite 4x+5y=20 in slope intercept form

y=−(4/5)x + 4

Double XP Graphing

100

Solve the system:
y=x+1
y=−x+3

Answer (1,2)

200

Solve the system:
y=−2x+4
y=x−2

Answer: (2,0)

300

Solve the system:
y=3x+2
y=3x−4

No solution — the lines are parallel.

400

Solve the system:
y=x−2
y=−x+4

Answer: (3,1)

500

y=2x+3 

4x−2y=−6

Infinitely many solutions