Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y...

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Vocabulary Created by Simone http://www.teacherspayteachers.com/Store/ Simone Teacher Information Combining Like Terms Select a Lesson

Transcript of Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y...

Page 1: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

• Vocabulary

Created by Simone http://www.teacherspayteachers.com/Store/Simone

Teacher Information

• Combining Like Terms

Select a Lesson

Page 2: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Vocabulary

Page 3: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Variable: A letter that represents an unknown number.

x

1

Page 4: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Constant: A number.

8

2

Page 5: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Exponent: A number written above and to the right of a base number.

x2

3

The exponent shows how many times to use the base number in repeated multiplication. For example, 52 is 5 x 5.

Page 6: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Operations: addition, subtraction, multiplication, and division

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Page 7: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Expression: A mix of variables, constants, exponents, and operations.

5x + y + 8 – x2

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Expressions do not have equal signs.

Page 8: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Term: A small part of the expression.

Each term is separated by + or –

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5x + y + 8 – x2

Page 9: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Like terms have the same variable and exponent.

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5x and 10x n2 and 7n2

12 and 17

Page 10: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Coefficient: A number multiplied by a variable.

5x + y + 8

5 is the coefficient in front of x1 is the coefficient in front of y

8

Page 11: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Click the correct word for the red item.

2x + 3 + x2

term

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constant

exponent

Page 12: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

n – 5n + 3 + m3

coefficient

10

constant

variable

Click the correct word for the red item.

Page 13: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

8 + m3

constant

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coefficient

exponent

Click the correct word for the red item.

Page 14: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

b2 – b + 9 + 7n

variable

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expression

exponent

Click the correct word for the red item.

Page 15: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

10 + n3

exponent

13

variableterm

Click the correct word for the red item.

Page 16: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

9y2 + 8n – 3

Write a word to describe the red item.

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coefficientAnswer

Page 17: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Write a word to describe the red item.

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termAnswerx2 + 8 – 2n

Page 18: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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exponentAnswer15 + 3x2 + y

Write a word to describe the red item.

Page 19: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Write a word to describe the red item.

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constant or termAnswery + 4n – 12

Page 20: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Write a word to describe the red item.

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variableAnswer6n2 + 11n +14

Page 21: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Combining Like Terms

Page 22: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Review

Like termshave the same variable and exponent.

5x and 10x

n2 and 7n2 12 and 17

??

Page 23: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

5n and n5

answer

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No, they do not have the same exponent.

Are these like terms?

Page 24: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

3b and 8b

answer

Yes, they have the same variable and exponent.

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Are these like terms?

Page 25: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

7x2 and 8x2

answer

Yes, they have the same variable and exponent.

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Are these like terms?

Page 26: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

6 and 15

answer

Yes, they are both constants.

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Are these like terms?

Page 27: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

8x and 8y

answer

No, they do not have the same variable.

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Are these like terms?

Page 28: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

n3 and n7

answer

No, they do not have the same exponent.

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Are these like terms?

Page 29: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

Draw shapes to identify like terms

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Answerx + 3x + x2

Page 30: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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Answer5 – 10x + 12 + 10

Draw shapes to identify like terms

Page 31: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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Answer15 – 8x2 + 8y + x2

Draw shapes to identify like terms

Page 32: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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y – 3y2 + 8y + y2

Answer

Draw shapes to identify like terms

Page 33: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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Answer5n + 3x2 – 8n + 5y + 7x2

Draw shapes to identify like terms

Page 34: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

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18 – 2x – 2y – 8x2 + 8x + 10

Answer

Draw shapes to identify like terms

Page 35: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

2x + 3x 5x

5x

Click each step to learn how to combine like terms.

Step 1:

Step 2:

Step 3:

Identify like terms

Add or subtract the coefficients

Bring down unlike terms

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2x +10 + 3x

+10

Page 36: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

8x2 – 5x2 3x2

+ 5n – 25

3x2 + 5n – 25

Combine like terms.

Answer

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8x2 + 5n – 25 – 5x2

Page 37: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

15 + 3

183n2 – 8y

3n2 – 8y + 18

Combine like terms.

Answer

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3n2 – 8y + 15 + 3

Page 38: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

7n + 8n 15n

+ x2 – 2x

15n + x2 – 2x

Combine like terms.

Answer

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7n + x2 + 8n – 2x

Page 39: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

14y + y – 8y 7y

+ 17

7y + 17

Combine like terms.

Answer

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14y + y + 17 – 8y

Page 40: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

7n3 – 6n3 n3

45 – 25 20

20 + n3 + 9y

+ 9y

Answer

45 + 7n3 + 9y – 25 – 6n3

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Combine like terms.

Page 41: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

3x2 + 7x2 10x2

9y – y 8y

– 20

10x2 + 8y – 20

Combine like terms.

Answer

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3x2 + 9y +7x2 – y –20

Page 42: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

n2 + 5n2 6n2

12n – 4n 8n

6n2 + 7 + 8n

Combine like terms.

Answer

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3 + 4

7

n2 + 3 +12n – 4n + 4 + 5n2

Page 43: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

20 + 5 25

y2 + 5y2 6y2

25 + 2y +6y2

Combine like terms.

Answer

39

y + y 2y

20 + y + y + y2 + 5 + 5y2

Page 44: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

The student packet is broken up into two lessons. • pages 1-2 vocabulary • pages 3-4 combining like terms.

The PPT guides students through the lessons by giving them information and providing practice. Some slides ask the student to write something down and the answer will appear once the “answer” button is clicked. Some slides have multiple choices and the correct answer will be highlighted once clicked.

There are many ways to use this product • teaching new material • whole class review • independent practice • centers • students watch PPT and follow along with the student packet. • students complete the packet first and then self correct with the PPT.

Created by Simone http://www.teacherspayteachers.com/Store/Simone

Page 45: Worcester ALC - Select a Lesson...25 y2 + 5y2 6y2 25 + 2y +6y2 Combine like terms. Answer 39 y + y 2y 20 + y + y + y2 + 5 + 5y2 The student packet is broken up into two lessons. •

6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Common Core State Standards covered in this lesson.

(This activity covers combining like terms which is the part that I highlighted)