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Laabri

Master Solving Equations Basics

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Last updated 4 months ago
58 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
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Day 2 (9/10/24)

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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Day 3 (9-12-24)

Solving Multi-Step Equations

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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.

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 division

arrow_right_alt

subtraction

inverse of multiplication

arrow_right_alt

addition

inverse of addition

arrow_right_alt

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. exponents

  2. multiplication

  3. division

  4. subtraction

  5. addition

  6. parentheses ( )

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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 of parenthesis)

  2. multiplication and division

  3. parentheses ( )

Video Notes: Solving 2-step equations

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12.

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

  1. add 7 to both sides of the equation

  2. the result is x=7

  3. divide both sides of the equation by 3

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

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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.

4b - 5 = -33

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17.

Solve this equation.

8 + 9c = - 10

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18.

Solve this equation.

12y + 25 = - 35

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19.

Solve this equation.

15h - 9 = - 54

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20.

Solve this equation.

8 - 10x = - 32

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21.

Solve this equation.

- 16 - 2j = - 34

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22.

Solve this equation.

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23.

Solve this equation.

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24.

What is the first step to solving this equation?

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25.

Solve this equation.

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26.

Solve this equation.

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27.

Solve this equation.

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28.

Solve this equation.

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29.

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30.

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31.

Translate this expression.

“eighteen less than a number”

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32.

Translate this expression.

“twice a number plus four”

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33.

Translate this expression.

"sixteen more than the quotient of a number and two”

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34.

Write each expression in words

-4x+13

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35.

Which words or phrases have the same meaning as multiplication?

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36.

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

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37.

Evaluate each expression using the variable replacements.

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38.

Evaluate each expression using the variable replacements.

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39.

Evaluate each expression using the variable replacements.

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40.

The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 5 meters. (Be sure to use the correct unit in your answer)

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41.

What is the constant in the algebraic expression 5x + 2

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42.

What is the coefficient in the algebraic expression 5x + 2

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43.

What is the variable in the algebraic expression 5x + 2

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44.

Simplify each expression by combining like terms.

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45.

Simplify each expression by combining like terms.

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46.

Simplify each expression by combining like terms.

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47.

Simplify each expression by combining like terms.

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48.

Use your notes from page 4 to list the 3 steps you use to solve multi-step equations.

1.

2.

3.

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49.

Put the steps in the correct order to solve this multistep equation.

  1. Use distribution to multiply (7a+5) by -4 to get -28a - 20

  2. The solution is a = 5

  3. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5

  4. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160

  5. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140

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50.

Solve this multi-step equation. Show your work (SYW)

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51.

Put the steps in the correct order to solve this multistep equation.

  1. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4

  2. Simplify like terms to get the equation -7x - 3 = 25

  3. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28

  4. The solution is x = -4

  5. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25

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52.

Solve this multi-step equation. Show your work (SYW)

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53.

Put the steps in the correct order to solve this multistep equation.

  1. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7

  2. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7

  3. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13

  4. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1

  5. The solution is k = 1

  6. Simplify like terms to get the equation 13k - 6 = 7

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54.

Solve this multi-step equation. Show your work (SYW)

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55.

Solve this multi-step equation. Show your work (SYW)

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56.

Solve this multi-step equation. Show your work (SYW)

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57.

Solve this multi-step equation. Show your work (SYW)

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58.

Solve this multi-step equation. Show your work (SYW)