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

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

slope = -1

400

Identify the slope of the following equation.  -6x + 3y = 18

change to y = mx + b 

3y = 6x + 18

y = 2x + 6

Slope = 2

500

Identify the slope of the following equation.  x + 2y = 16

change to y = mx + b 

2y = -x + 16

y = -1/2x + 8

Slope = -1/2

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, what two points should we usually start with?

We begin at the y-intercept and the x-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

Graph the following equation. Include at least three points. y = -2

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

Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.

Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3

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

The y-intercept in this equation. x + y = -12

y = -12

400

Rewrite the following equation in slope-intercept form. 3x + 6y = -18

y = -1/2x - 3

500

Rewrite the following equation in slope-intercept form. 7x - 7y = -21

7y = 7x + 21    or             y = x + 3

Algebra (Solve for x)

100

Solve for x:  5x = 15

x = 3

200

Solve for x:  x + 8 = -9

x = -17

300

Solve for x:  

3x - 2 = -14

x = -4

400

Solve for x:

8x -2.5 = 3.5

x = 6/8  or 3/4

500

Is x = 4 the solution to the equation 2(x - 5) + 3² = -7

No it is not a solution.

The solution is -3

Writing Equations

100

What form of equations is the best to use for graphing?

y = mx + b   or slope intercept form. 

200

Write an equation for a vertical line through the point (-3, 3)

x = -3

300

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

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

400

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

 m = -1   and the point (0, 0)  

y = -x

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 do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.