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Biblioteka

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

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Posljednje ažuriranje 4 months ago
56

Day 1 11/6/23

Day 2 11/7/23

Spiral Review

Day 3 11/8/23

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Day 4 11/9/23

Using Two Points to Create an Equation of a Line

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Review Slope Intercept Form

Obavezno
15
Pitanje 9
9.

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=

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Pitanje 10
10.
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Main Idea: Representing Relations and Functions

Obavezno
20
Pitanje 13
13.

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

Evaluating Expressions

10
Pitanje 14
14.

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

Find the actual perimeter if y=12

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Finding Slope From a Graph

Obavezno
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Pitanje 33
33.

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

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5
Pitanje 34
34.

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

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5
Pitanje 35
35.

Slope Intercept Form

Obavezno
4
Pitanje 36
36.

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

y = m x + b

y=

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Pitanje 37
37.

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

y = m x + b

y=

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Pitanje 38
38.

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

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Pitanje 41
41.

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

Pitanje 42
42.

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

Pitanje 43
43.

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

Pitanje 44
44.

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

Pitanje 45
45.

Directions: Find the slope between each pair of points:

(5, 9) and (3, 9)

Pitanje 46
46.

Directions: Find the slope between each pair of points:

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

Pitanje 47
47.

Directions: Find the slope between each pair of points:

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

Pitanje 48
48.

Directions: Find the slope between each pair of points:

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

LINEAR EQUATIONS WORD PROBLEMS: Slope Intercept Form

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Pitanje 49
49.

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50¢. 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.

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Pitanje 50
50.
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20

LINEAR EQUATIONS WORD PROBLEMS: Point-Slope Form

Obavezno
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Pitanje 53
53.

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?

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20
Pitanje 54
54.
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20
Pitanje 1
1.

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-

Pitanje 2
2.

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-

Pitanje 3
3.

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-

Pitanje 4
4.

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-

Pitanje 5
5.

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-

Pitanje 6
6.

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-

Pitanje 7
7.

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-

Pitanje 8
8.

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-

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=

Pitanje 11
11.

Directions: Graph each equation using slope intercept-form.

Pitanje 12
12.

Directions: Graph each equation using slope intercept-form.

Arithmetic Sequences

Pitanje 15
15.

Find the next three terms of each sequence.

-2, -6, -10, -14, , ,

Pitanje 16
16.

Find the next three terms of each sequence.

22, 20, 18, 16, , ,

Pitanje 17
17.

Find the next three terms of each sequence.

-2, -5, -8, -11, , ,

Pitanje 18
18.

Find the first term and common difference in this sequence:

1, 3, 5, 7, ...

a₁=

d=

Pitanje 19
19.

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

1, 3, 5, 7, ...

Pitanje 20
20.

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

1, 3, 5, 7, ...

Pitanje 21
21.

Find the first term and common difference in this sequence:

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

a₁=

d=

Pitanje 22
22.

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

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

Pitanje 23
23.

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

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

Pitanje 24
24.

Find the first term and common difference in this sequence:

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

a₁=

d=

Pitanje 25
25.

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

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

Pitanje 26
26.

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

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

Pitanje 27
27.

Find the first term and common difference in this sequence:

7, 13, 19, 25, ...

a₁=

d=

Pitanje 28
28.

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

7, 13, 19, 25, ...

Pitanje 29
29.

Use the explicit formula you created from the last problem to find the 10000ᵗʰ term of this sequence:

7, 13, 19, 25, ...

Pitanje 30
30.

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?

Pitanje 31
31.

The total bank loan for Sarah’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?

Pitanje 32
32.

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?

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

Pitanje 39
39.

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

Pitanje 40
40.

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

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.

Pitanje 51
51.

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?

Pitanje 52
52.

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?

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?

Pitanje 55
55.

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.

Pitanje 56
56.

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.