Review - Linear Equations

Finding Slope of a Line

100

Identify the slope of the following equation. y = mx + b

the variable m

200

Identify the slope of the following equation. y = 2x + 3

slope is 2

300

Find the slope of the line that passes through the following points.  (4,9) (10,14)

5/6

400

Find the slope of the line that includes the following points. (4, -5) (-4, 5)

-10/8 which simplifies to -5/4

500

Find the slope of the line that includes the following points. (-12, -9) (-3, -3)

-6/-9 = 6/9 = 2/3

Graphing Linear Equations

100

What form do we use to graph a linear equation?

the slope-intercept form y = mx + b

200

When graphing linear equations, do we plot the slope, y-intercept, or something else first?

We begin at the y-intercept.

300

Graph the following equation. Include at least 3 points. y = 1/3x + 4

Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.

400

Describe the line: y = -2 can draw or verbally describe

Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.

500

Evaluate: y=2x+4 

    x  y

   -1  ?

    0  ?

    1  ?

(-1,2) (0,4) and (1,6)

Slope-Intercept Form

100

What is slope intercept form?

y = mx + b

200

In the following linear equation, what is the y-intercept? y = -3/4x

0

300

Rewrite this equation in slope-intercept form. x + y = -12

y = -x - 12

400

Identify the slope and y-intercept of the equation: y=3+(1/2)x

m=1/2

b=3

500

Give an equation of a line that would be parallel to the line y=-3x-2

any line with a slope of -3 but with a different y intercept

RANDOM ?'s

100

Evaluate:

3(3)-3=

6

200

Solve:

3x - 2 = -14

x = -4

300

1. What type of line has an undefined slope?

2. What type of line has zero slope?

1. vertical

2. horizontal 

400

Find the mean of the following numbers: 

1,2,3,5,6,7,10

4.86

500

Is x = 2 a solution to the equation 2(x - 5) + 3 = 13  ?

No it is not a solution.

Writing Equations

100

What form of equations do we use for lines?

y = mx + b   or slope intercept form. 

200

A pool holds 70 gallons of water and drains water at a rate of 2 gallon per hour.  Write an equation to represent how long it would take to empty the pool given that the pool is full.

y-amount of gallons 

x-time

y=-2x+70

300

Write an equation for a line with the following slope and points.

 m = 2/3   and passes through the point (0, -2)

y = 2/3x - 2

400

Write an equation for a line with the following two points (15, -10) (5, 10). The line has a y intercept of 20.

slope = -2 y intercept = 20

y = -2x + 20

500

The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money does each game cost and how much money did you start with.

Each game is 75 cents and you started with ten dollars.