Math Slope Unit Review by Mrs. Gabel

Hosted by Mrs. Gabel

Function Stuff

Equations

Slope

Misc.

100

300

Row 1, Col 1

Determine the domain and range

of the given relation.

{(5,25),(6,36), (7,49), (8,64)}

D: {

5,6,7,8}  R: { 25,36,49,64}

1,2

Write an equation in

slope intercept form

that contains

(-8,1) and (-4, 6)

y= (5/4)x + 11

1,3

Find the slope for the

given rise and run.

rise: 6 and run: -6

m = -1

1,4

What are the two

different ways you can

calculate slope?

m = rise/run and m = (y

 –y

)/(x

-x

2,1

Determine whether the relation

 is function.  Explain.

{(7,8),(1,3), (9,2), (2,8)}

Yes, because the domain doesn’t repeat.

2,2

Write the equation in

standard form:

3y = -4x + 27

4x + 3y = 27

2,3

Find the slope of the

line that contains the

given pair of points.

(1,-4)  and (-7,-4)

m = 0

2,4

What are the three different

forms of equations we have

learned in this unit?

Slope-intercept, Standard, Point-slope,

3,1

Club X charges an initial fee of

$50 for use of the club with an

additional cost of $34 per month.

Make a table for 1-4 months, write

an equation, and find the domain

and range.

y = 34x + 50, D:{1, 2, 3, 4}  R:{84,118, 152, 186}

3,2

Write an equation in

point-slope form for the line

that contains the given points:

(1,-5) and (6,3).

Use (1,-5) as your point of choice.

y + 5 = 8/5(x-1)

3,3

m = 4/5 and b = -4

Find the slope and the

y-intercept for the graph of

the line with the equation

y = 4/5 x – 4

3,4

4,1

The data below shows

the temperature of an oven as it preheats

 at a steady rate.  Write an equation that

represents the t temp. after m minutes

in slope intercept form

t = 85 + 6m

4,2

An editor gets a $2,270 raise each

year.  Her starting salary is $69,700.

Write a linear equation which

models her income in terms of how

many years she has worked at the

company.

y = 2,270x + 69,700

4,3

Find the slope of the line

perpendicular to the line

y = -7x + 7

m = 1/7

4,4

Find the x and y intercepts for

The following equation.

2x – 7y = 14

x = 7,  (7,0) and y = -2, (0,-2)

5,1

You make 2 headbands and have

 6 feet of ribbon left.  You make

one more headband and have 4

feet of ribbon left.  Write an equation

that represents the amount of ribbon

left, y after making x headbands.

Use slope intercept form.

Y = -2x + 10

5,2

Write the equation in

 slope-intercept form of the

line that is parallel to

8x – 2y = 2 and contains (-3,9)

y = 4x + 21

5,3

What is the slope of the

equation x = 7

undefined

5,4

Hold up your graph.

Graph the equation

y – 1 = ½(x – 10)

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Explore various topics related to slope, equations, domain, range, and different forms of equations in this comprehensive unit review hosted by Mrs. Gabel. Learn about calculating slope, determining if a relation is a function, writing equations in different forms, and more through clear explanations and visual examples.

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Slope Unit Review Hosted by Mrs. Gabel

Function Stuff Equations Slope Misc. 100 100 100 100 100 100 100 100 200 200 200 200 200 200 200 200 300 300 300 300 300 300 300 300 400 400 400 400 400 400 400 400 500 500 500 500 500 500 500 500

D: {5,6,7,8} R: { 25,36,49,64} Determine the domain and range of the given relation. {(5,25),(6,36), (7,49), (8,64)} Row 1, Col 1

y= (5/4)x + 11 Write an equation in slope intercept form that contains (-8,1) and (-4, 6) 1,2

m = -1 Find the slope for the given rise and run. rise: 6 and run: -6 1,3

m = rise/run and m = (y2y1)/(x2-x1) What are the two different ways you can calculate slope? 1,4

Yes, because the domain doesnt repeat. Determine whether the relation is function. Explain. {(7,8),(1,3), (9,2), (2,8)} 2,1

4x + 3y = 27 Write the equation in standard form: 3y = -4x + 27 2,2

m = 0 Find the slope of the line that contains the given pair of points. (1,-4) and (-7,-4) 2,3

Slope-intercept, Standard, Point-slope, What are the three different forms of equations we have learned in this unit? 2,4

y = 34x + 50, D:{1, 2, 3, 4} R:{84,118, 152, 186} Club X charges an initial fee of $50 for use of the club with an additional cost of $34 per month. Make a table for 1-4 months, write an equation, and find the domain and range. 3,1

y + 5 = 8/5(x-1) Write an equation in point-slope form for the line that contains the given points: (1,-5) and (6,3). Use (1,-5) as your point of choice. 3,2

m = 4/5 and b = -4 Find the slope and the y-intercept for the graph of the line with the equation y = 4/5 x 4 3,3

y=1 5x -5, and y+5=-5(x+1) Identify the lines that are perpendicular: y=4 y=1 x=8 y+5=-5(x+1) 5x -5 3,4

t = 85 + 6m The data below shows the temperature of an oven as it preheats at a steady rate. Write an equation that represents the t temp. after m minutes in slope intercept form Time (min) 1 3 5 7 Temperature 91 103 115 127 4,1

y = 2,270x + 69,700 An editor gets a $2,270 raise each year. Her starting salary is $69,700. Write a linear equation which models her income in terms of how many years she has worked at the company. 4,2

m = 1/7 Find the slope of the line perpendicular to the line y = -7x + 7 4,3

x = 7, (7,0) and y = -2, (0,-2) Find the x and y intercepts for The following equation. 2x 7y = 14 4,4

Y = -2x + 10 You make 2 headbands and have 6 feet of ribbon left. You make one more headband and have 4 feet of ribbon left. Write an equation that represents the amount of ribbon left, y after making x headbands. Use slope intercept form. 5,1