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Solving Equations 1 OneStep Equations all operations Match the operation with the correct inverse

OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

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Page 1: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

1

One­Step Equations all operations

Match the operation with the correct inverse

Page 2: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

2

Solve this equation:  

x ­ 18 = 14

x ­ 18 = 14  + 18  +18

    x = 32

Use the eraser to check your solution.

Show your work here.

Solve this equation:  

11 + 3 + x = 21

11 + 3 + x = 2114 + x = 21­14       ­14

      x = 7

Use the eraser to check your solution.

Show your work here.

Page 3: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

3

Solve this equation:  

­104 = 8x

­104 = 8x   8       8

­13 = x

Use the eraser to check your solution.

Show your work here.

Solve this equation:  

 x  = 658

 x  = 658

58   x  = 6  58      58

x = 348 

Use the eraser to check your solution.

Show your work here.

Page 4: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

4

Solve on your own and show all of your steps.

1.)   x + 14 = 20 2.)  y ­ 28 = ­3

3.)  v ÷ 7 = 8 4.)  ­126 = 14k

Key Points to Remember

Page 5: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

5

Now you try...

Be prepared to demonstrate.

 Two­Step Equations

by Kathy Woods

Page 6: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

6

Steps to Solving an Equation

Page 7: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

7

Your turn to solve and check.

8x ­ 5 = 59 12y + 5 = 125

Can you find the correct answer?

14

41211

10 7

9

4x ­ 3 = 21

3x + 3 = 15

7x + 10 = 87

5x ­ 12 = 48

6

Page 8: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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Solving Multi-Step Equations

Just like a car needs gas to move on, let's practice some needed skills before moving on to solving equations with multi-steps.

Simplify each expression by using the Distributive Property and/or the combining of like terms.

Page 9: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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"I do" "We do"1. 8a + 4a = 144 12 2. 5b + 11 - 2b = 50 13

"Ya'll Do" "You do"3. 18 = b - 7b -3 4. y - 5y - 12 = 36 -12

Practice Solving Multi-step Equations using a Scaffold Approach - Part 1

Practice Solving Multi-step Equations using a Scaffold Approach - Part 2

"I do" "We do"5. 3(n - 2) = 36 14 6. 3(2x + 1) + x = -39 -6

"Ya'll do" "You do"7. 21 = 2(4a + 2) 2 1/8 8. 2(x - 1) - x = 16 18

Page 10: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

10

Describe the process for solving 38 = ­3(4y + 2) + y without using numbers in the description.

Darnell and Jackie together have 94 glass marbles. Darnell has 4 more than twice as many marbles as Jackie. If Jackie has m marbles, then Darnell has 2m + 4 marbles.

a. Write an equation that could be used to find the number of marbles that each person has.b. How many glass marbles does each person have?

Real-World Problem Solvingusing Multi-step Equations

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Solving Equations

11

Exit Slip with Lesson Reflection

Writing in Math Explain how to solve 3(9 + 4a) - 19 = 32.

Lesson Reflection - Give a brief statement about what you learned today. You might include how you felt about the overall lesson or you may want to address one or both of the following questions: 1) Did you find the lesson easy or difficult? Why? 2) What activity did you like the best or the least?Why?

Variables on Both Sides

Page 12: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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"I Do" ­ Practice

Follow along as I demonstrate:

1.)  4y + 9 = 3y 2.)  8m = 5m + 18

"I Do" ­ Practice

Follow along as I demonstrate:

3.)  16h = 72 + 7h 4.)  ­4r + 15 = r

Page 13: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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"I Do" ­ Practice

Follow along as I demonstrate:

5.)  108 ­ 7x = ­ 4x

"We Do" ­ Practice

Let's try these together...

6.)  63 + 9y = 16y 7.)  18b = 63 ­ 3b

Page 14: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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"We Do" ­ Practice

Let's try these together...

8.)  3p + 9 = ­ 15p 9.)  14f + 4 = 9f ­ 11

"We Do" ­ Practice

Let's try these together...

10.)  9m + 27 = 6m

Page 15: OneStep Equations - Mrs. Gorman's Math Webpagemrsgorman.weebly.com/uploads/3/9/0/2/3902184/solving... ·  · 2010-05-04Exit Slip with Lesson Reflection Writing in Math Explain how

Solving Equations

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"You Do" 

Today's Exit Ticket:

Complete the rest of the worksheet (#11­15)

Turn in when you are finished

1.) 4 (x - 2) = 6x - 10

2.) 4 (a + 2) = 2 (a + 6)

3.) 1/2 (x + 18) = 19

4.) 5/6y = 1/3(y + 6)

5.) 5/7n + 12 = 3/7n + 4