PreAlgebra Review/Linear Equations

Finding Slope of a Line

100

Find the slope of the line between (2,4) and (-6,5)

-1/8

200

Find the slope of the line between (-8,-3) and (6,-5)

slope is -2/14 or -1/7

300

Name three ways to describe slope.

Possible answers: 

rate of change 

rise over run 

y₂ - y_1/ x₂ - x₁

slope = m in y = mx + b

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

If the slope = -7 and the y-intercept = 8, what is the equation of the line?

y = -7x + 8

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

Graph the following equation. Include at least 2 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. (3,5)

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. 14x - 7y = -21

-7y = -14x - 21 y = 2x + 3 

Equations

100

Solve the equation:

x + 6 = -3

x = -9

200

Solve the equation:

x - 19 = -35

x = -16

300

Solve the equation:

2x + 5 = -17

x = -11

400

Solve the equation:

8x + 4 = 16

x = 3/2 or 1 1/2 or 1.5

500

Solve the equation. 

2x + 5 = 3x - 8x - 9 

x = -2

Slope/Y-Intercept/Writing Equations

100

What is the slope in the following equation?              y = mx+ b 

m

200

Identify the slope of the following equation.       

y = 2x + 3

m = 2

300

Write an equation for a line with the following slope and y-intercept. m = 2/3 b = -5

y = 2/3x - 5

400

Write an equation for a line with the following two points.  (15, -10) and (0, 3) Find the slope, y- intercept and equation of the line.

slope = -13/15  y-intercept = 3 y = -13/15 + 3  

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.