Bell Work 9/16/14Solve the equation.

1. 3 7 5x 2. 6 4 8x

5. 2 7 9x 6. 11 13 3x

3. 3 125

x

14. 7 9

2x

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Solving Multi-Step Equations (3-Step)

04/20/23

Heading

TSWBAT: solve 3-step equations.

Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

2.3A

Notes

What you do to one side, you must do to the other.

• The Golden Rule (of Mathematics)

1. Simplify both sides of the equation.

2. Collect the variables to one side of the equation.

• Steps for Solving Linear Equations

3. Use inverse operations to isolate the variable.

• Distribute and/or combine like terms.

• Collect to the side with the greater variable.

• PEMDAS backwards.

Notes

Ex.

2 3 24x

2 22 18x 6 6

9x

2x 6 24

Solve the equation. Now you try.

Ex.

4 5 8x

4 44 28x 20 20

7x

4x 20 8Distribute first.

What operation do I do next?

What operation do I do next?

Notes

Ex.

3 4 27x

3 3 3 15x

12 12

5x

3x 12 27

Solve the equation.Ex.

2 6 18x

2 2 2 30x

12 12

15x

2x 12 18

Now you try.

Distribute first.

What operation do I do next?

What operation do I do next?

Notes

Ex.

7 7

Combine like terms first.

5x

What operation do I do next?

3 4 35x x 7 35x

Ex.

4 4 7x

2 6 28x x 4 28x

Now you try.

Solve the equation.Ex.

5 5 4 x

20 4 9x x 20 5x

Ex.

4 4 8 x

32 2 2x x 32 4x

Notes

Ex.

7 73x

Combine like terms first.2 3 5 9 27x x 7x 6 27

6 6 7 21x

What operation do you do next?

What operation do you do next?

Solve the equation. Now you try.

Ex.

3 3 2 x

14 4 6 7 2x x

14 3x 88 8 6 3x

Summary

To solve a 3-step equation you first have to distribute and/or ________ like terms. After that isolate the variable term by _______ or subtracting. Finally isolate the variable completely by multiplying or ________.

combineadding

dividing

#1-13 on next slide

& Worksheet 2.3A

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.• NO WORK = NO CREDIT

3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 2.3ASolve the equation.

1. 2 5 16x 2. 3 2 12x 3. 4 3 32x

7. 7 2 25x x

10. 3 5 4 20x x 11. 3 2 5 10x x

4. 14 2 5x 5. 30 6 2x 6. 24 6 3x

8. 27 4 7x x 9. 3 5 40x x

12. 12 5 6x x 13. 20 3 8 7x x

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

Solve the equation.

5 2 20x