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Copy of 1.4 Solving Equations Basics (Due 9-1-23 SOC) (7/21/2024)

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42 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Day 1 8/30/23

Opposite Operations and Solving Equations

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Day 2 8/31/23

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The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

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Spiral Review

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Essential Question: How do we solve algebraic equations using opposite operations?

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 using opposite operations?

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.

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1.

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

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2.

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

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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. subtraction

  3. addition

  4. division

  5. multiplication

  6. exponents

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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 (outside parentheses)

  2. parentheses ( )

  3. addition and subtraction (outside parentheses)

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12.

Solve this equation

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13.

Solve this equation

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14.

Solve this equation

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15.

Solve this equation

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16.

Solve this equation

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17.

Solve this equation

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18.

Solve this equation

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19.

Solve this equation

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20.

Solve this equation

Video Notes: Solving 2-step equations

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21.

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

  1. divide both sides of the equation by 3

  2. add 7 to both sides of the equation

  3. the result is x=7

  4. Before we start solving, we identify the variable a, so we can solve for it the variable

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22.

Solve this equation.

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23.

What is the first step to solving this equation?

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24.

What is the second step to solving this equation?

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25.

Solve this equation.

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26.

Solve this equation.

17 + 3k = 26

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27.

Solve this equation.

4b - 5 = -33

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28.

Solve this equation.

8 + 9c = - 10

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29.

Solve this equation.

12y + 25 = - 35

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30.

Solve this equation.

15h - 9 = - 54

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31.

Solve this equation.

8 - 10x = - 32

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32.

Solve this equation.

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33.

Solve this equation.

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34.

Solve this equation.

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35.

Solve this equation.

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36.

Solve this equation.

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37.

Solve this equation.

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38.

Translate this expression.

“eighteen less than a number”

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39.

Write each expression in words

-4x+13

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40.

Which words or phrases have the same meaning as multiplication?

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41.

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

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42.

Evaluate each expression using the variable replacements.