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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

arrow_right_alt

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. multiplication

  2. parentheses ( )

  3. exponents

  4. subtraction

  5. division

  6. addition

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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. addition and subtraction (outside parentheses)

  2. multiplication and division (outside parentheses)

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

  2. divide both sides of the equation by 3

  3. the result is x=7

  4. add 7 to both sides of the equation

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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.