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Copy of 3.2 Using Two Points to Create an Equation of a Line (Due 11/7/23) (7/21/2024)

Last updated 8 months ago
56 questions

Day 1 11/6/23

Using Two Points to Create an Equation of a Line

Required
10


Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______
Required
10

Write the equation of the line that passes through the given two points. Write all final answers in slope-intercept form.

Slope-_______

Slope-intercept Form-_______

Review Slope Intercept Form

Required
15

Directions: Identify the slope and y-intercept of the line on the graph. Then, write the equation of the line in slope-intercept form.
m=_______
b=_______
Equation=_______
Required
15

Directions: Identify the slope and y-intercept of the line on the graph. Then, write the equation of the line in slope-intercept form.
m=_______
b=_______
Equation=_______
Required
10

Directions: Graph each equation using slope intercept-form.

Required
10

Directions: Graph each equation using slope intercept-form.

Day 2 11/7/23

Spiral Review

Main Idea: Representing Relations and Functions

Required
20

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Evaluating Expressions

10

Directions: Give the perimeter of each figure as a simplified expression.

_______

Find the actual perimeter if y=12
_______

Arithmetic Sequences



Required
15

Find the next three terms of each sequence.
-2, -6, -10, -14, _______ ,_______ ,_______
Required
15

Find the next three terms of each sequence.
22, 20, 18, 16, _______ ,_______ ,_______
Required
15

Find the next three terms of each sequence.
-2, -5, -8, -11, _______ ,_______ ,_______
Required
10

Find the first term and common difference in this sequence:
1, 3, 5, 7, ...
aโ‚=_______

d=_______
Required
10

Write the explicit formula to find the nแต—สฐ term of this sequence (you can use either notation):

1, 3, 5, 7, ...

Required
10


Use the explicit formula you created from the last problem to find the 24แต—สฐ term of this sequence:

1, 3, 5, 7, ...

Required
10
Find the first term and common difference in this sequence:

-1, -4, -7, -10, ...
aโ‚=_______

d=_______
Required
10

Write an equation to find the nแต—สฐ term of this sequence (you can use either notation):

-1, -4, -7, -10, ...

Required
10

Use the explicit formula you created from the last problem to find the 24แต—สฐ term of this sequence:

-1, -4, -7, -10, ...

Required
10
Find the first term and common difference in this sequence:

-4, -9, -14, -19, ...

aโ‚=_______

d=_______
Required
10

Write an explicit formula to find the nแต—สฐ term of this sequence (you can use either notation):

-4, -9, -14, -19, ...

Required
10


Use the explicit formula you created from the last problem to find the 9999แต—สฐ term of this sequence:

-4, -9, -14, -19, ...

Required
5

Find the first term and common difference in this sequence:
7, 13, 19, 25, ...

aโ‚=_______

d=_______
Required
10

Write an explicit formula to find the nแต—สฐ term of this sequence (you can use either notation):

7, 13, 19, 25, ...

Required
10


Use the explicit formula you created from the last problem to find the 10000แต—สฐ term of this sequence:
7, 13, 19, 25, ...

Required
10

You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 16 feet for the first second, 48 feet the next second, 80 feet the third second, and so on.

Write a formula to represent this sequence._______


How far will the penny have traveled after 6 seconds?_______
Required
10

The total bank loan for Sarahโ€™s new car is $15,265. The bank automatically withdraws $295.80 each month to pay off the car.


Write a formula to represent this sequence._______


What will be the balance of the loan after 2 years?_______
Required
10

Darius filled up his gas tank with 24 gallons of gas. For each mile that he drives, he uses 0.06 gallons of gas.


Write a formula to represent this sequence._______

How many gallons of gas are left in the tank after driving 240 miles?_______

Day 3 11/8/23

Finding Slope From a Graph

Required
5


Find the slope of each line. W rite your answer in simplest form.

Required
5


Find the slope of each line. W rite your answer in simplest form.

Required
5


Find the slope of each line. W rite your answer in simplest form.

Slope Intercept Form

Required
4
Write the equation in slope intercept form with the given information:

y = m x + b
y=__________x __________
Required
4
Write the equation in slope intercept form with the given information:

y = m x + b

y=__________x__________
Required
10

Write the equation in slope intercept form with the given information:

Required
10

Write the equation in slope intercept form with the given information:

Required
10

Write the equation in slope intercept form with the given information:

Required
10

Write the equation of this line in slope-intercept form. (10pts)

Required
10

Write the equation of this line in slope-intercept form. (10pts)

Required
10

Write the equation of this line in slope-intercept form. (10pts)

Required
10

Write the equation of this line in slope-intercept form. (10pts)

Required
10

Directions: Find the slope between each pair of points:

(5, 9) and (3, 9)


Required
10

Directions: Find the slope between each pair of points:

(-7, 8) and (-7, 5)


Required
10

Directions: Find the slope between each pair of points:

(-1, 9) and (2, 3)


Required
10

Directions: Find the slope between each pair of points:

(-1, 9) and (2, 3)


Day 4 11/9/23

LINEAR EQUATIONS WORD PROBLEMS: Slope Intercept Form

Required
20


Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50ยข. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.

Starting Point
_______
Pattern
_______
Equation
_______

How many rides he can go on.
_______
Required
20


While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. until
2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

Starting Point
_______
Pattern
_______
Equation
_______

What is the total cost to rent the kayak.
_______
Required
20


Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and solve a linear equation to find how many years until the truck is worth $5,135.

Starting Point
_______
Pattern
_______
Equation
_______

How many years will it be before the truck is worth $5,135?
_______
Required
20


If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. If you have $40, write and solve a linear equation to find the number of gallons of gas you can afford.

Starting Point
_______
Pattern
_______
Equation
_______

How many gallons can you afford to buy?
_______

LINEAR EQUATIONS WORD PROBLEMS: Point-Slope Form

Required
20

At Eagle Bay, it costs $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost to rent the canoe
for 7 hours.
Pattern
_______
Equation
_______

What is the cost to rent the canoe for 7 hours?
_______
Required
20

A construction company charges $18 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for 8 hours of service was $219. Write and solve a linear equation to find the one-time fee for the trash dumpster.
Pattern
_______
Equation
_______

Find the one-time fee for the trash dumpster?
_______
Required
20

A company offers premium cable for $39.95 per month plus a one-time setup fee. The total cost for setup and 6 months of service is $264.70. Write and solve a linear equation to find the total cost for 2 years of service.
Pattern
_______
Equation
_______

Find the total cost for 2 years of service.
_______
Required
20

A home security company provides security systems for $5 per week, plus an installation fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find the cost of the installation fee.
Pattern
_______
Equation
_______

Find the cost of the installation fee.
_______