Review - Linear Equations

Finding Slope of a Line

100

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

the variable m

200

 I travel all around the world, but never leave the corner. What am I?

A stamp

300

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

slope is 2

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, where do we begin?

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

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

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

y = -x - 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. 3.5x - 7y = -21

-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3

RANDOM ?'s

100

Solve for x

2x-4=20

x=12

200

Solve:

3x - 2 = -14

x = -4

300

What has a face and two hands but no arms or legs?

A clock

400

Rewrite the following equation in slope-intercept form. 8x + 4y = 16

Should be rewritten as y = -2x + 4 

500

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

No it is not a solution.

Writing Equations

100

How does the ocean say hi?

It waves!

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 two points. Find the slope and y intercept. (15, -10) (5, 10)

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 do you have after playing eight games? 

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games.