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1.4 Solving Equations Basics (9/13/2024)

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Solving Equation Basics

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Essential Question: How do we solve algebraic equations with more than 1-step?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations with more than 1-step?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Use your own words and write complete sentences for full credit.

Show your work for full credit.

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1.

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1
A.REI.3
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2.

Vocabulary: In your own words, what is an inverse operation?

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A.REI.3
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3.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item

inverse of multiplication

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subtraction

inverse of addition

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addition

inverse of division

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division

inverse of subtraction

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multiplication

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4.

What is the first step to solve this equation?

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5.

Solve this equation.

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6.

What is the first step to solve this equation?

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7.

Solve this equation.

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8.

What is the first step to solve this equation?

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9.

Solve this equation.

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10.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

  1. parentheses ( )

  2. division

  3. addition

  4. exponents

  5. multiplication

  6. subtraction

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11.

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

  1. multiplication and division

  2. parentheses ( )

  3. addition and subtraction (outside of parenthesis)

Video Notes: Solving 2-step equations

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12.

Put the steps to solving this equation in the right order.

  1. divide both sides of the equation by 3

  2. the result is x=7

  3. add 7 to both sides of the equation

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13.

What is the second step to solving this equation?

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14.

Solve this equation.

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15.

Solve this equation.

17 + 3k = 26

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16.

Solve this equation.

8 + 9c = - 10

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17.

Solve this equation.

12y + 25 = - 35

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18.

Solve this equation.

15h - 9 = - 54

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19.

Solve this equation.

8 - 10x = - 32

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20.

Solve this equation.

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21.

Solve this equation.

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22.

Solve this equation.

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23.

Solve this equation.

Learning Log

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24.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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25.

Learning Outcomes

What is one thing you learned?

(Use complete sentences for full credit)

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26.

Summarize the Topic

What was this lesson about?

(Use complete sentences for full credit)

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27.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?