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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)

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56 Nsɛmmisa

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

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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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10.
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Main Idea: Representing Relations and Functions

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13.

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

Evaluating Expressions

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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

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33.

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

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34.

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

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35.

Slope Intercept Form

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36.

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

y = m x + b

y=

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37.

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

y = m x + b

y=

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38.

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

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41.

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

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42.

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

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43.

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

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44.

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

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45.

Directions: Find the slope between each pair of points:

(5, 9) and (3, 9)

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46.

Directions: Find the slope between each pair of points:

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

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47.

Directions: Find the slope between each pair of points:

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

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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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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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LINEAR EQUATIONS WORD PROBLEMS: Point-Slope Form

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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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54.
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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-

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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-

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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-

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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-

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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-

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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-

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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-

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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=

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11.

Directions: Graph each equation using slope intercept-form.

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12.

Directions: Graph each equation using slope intercept-form.

Arithmetic Sequences

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15.

Find the next three terms of each sequence.

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

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16.

Find the next three terms of each sequence.

22, 20, 18, 16, , ,

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17.

Find the next three terms of each sequence.

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

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18.

Find the first term and common difference in this sequence:

1, 3, 5, 7, ...

a₁=

d=

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19.

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

1, 3, 5, 7, ...

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20.

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

1, 3, 5, 7, ...

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21.

Find the first term and common difference in this sequence:

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

a₁=

d=

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22.

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

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

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23.

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

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

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24.

Find the first term and common difference in this sequence:

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

a₁=

d=

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25.

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

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

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26.

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

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

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27.

Find the first term and common difference in this sequence:

7, 13, 19, 25, ...

a₁=

d=

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28.

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

7, 13, 19, 25, ...

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29.

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

7, 13, 19, 25, ...

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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?

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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?

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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.

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39.

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

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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.

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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?

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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?

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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.

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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.