bell work9/16/14 solve the equation. yesterday’s homework 1.any questions? 2.please pass your...
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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
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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.
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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
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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.
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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?
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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?
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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
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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
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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
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#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
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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
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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