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

Vocabulary

1 x Variable: A letter that represents an unknown number.

2 8 Constant: A number.

A number written above and to the right of a base number. 3 x2 Exponent: A number written above and to the right of a base number. The exponent shows how many times to use the base number in repeated multiplication. For example, 52 is 5 x 5.

addition, subtraction, multiplication, and division 4 Operations: addition, subtraction, multiplication, and division

A mix of variables, constants, exponents, and operations. 5 5x + y + 8 – x2 Expression: A mix of variables, constants, exponents, and operations. Expressions do not have equal signs.

A small part of the expression. 6 5x + y + 8 – x2 Term: A small part of the expression. Each term is separated by + or –

have the same variable and exponent. 7 Like terms have the same variable and exponent. 5x and 10x n2 and 7n2 12 and 17

A number multiplied by a variable. 8 5x + y + 8 Coefficient: A number multiplied by a variable. 5 is the coefficient in front of x 1 is the coefficient in front of y

Click the correct word for the red item. 9 Click the correct word for the red item. 2x + 3 + x2 constant term exponent

Click the correct word for the red item. 10 Click the correct word for the red item. n – 5n + 3 + m3 coefficient constant variable

Click the correct word for the red item. 11 Click the correct word for the red item. 8 + m3 exponent coefficient constant

Click the correct word for the red item. 12 Click the correct word for the red item. b2 – b + 9 + 7n variable exponent expression

Click the correct word for the red item. 13 Click the correct word for the red item. 10 + n3 term exponent variable

Write a word to describe the red item. 14 Write a word to describe the red item. 9y2 + 8n – 3 Answer coefficient

Write a word to describe the red item. 15 Write a word to describe the red item. term x2 + 8 – 2n Answer

Write a word to describe the red item. 16 Write a word to describe the red item. 15 + 3x2 + y Answer exponent

Write a word to describe the red item. 17 Write a word to describe the red item. constant or term y + 4n – 12 Answer

Write a word to describe the red item. 18 Write a word to describe the red item. variable 6n2 + 11n +14 Answer

Combining Like Terms

Like terms have the same variable and exponent. Review Like terms have the same variable and exponent. ? ? 5x and 10x n2 and 7n2 12 and 17

No, they do not have the same exponent. 19 Are these like terms? 5n and n5 No, they do not have the same exponent. answer

Yes, they have the same variable and exponent. 20 Are these like terms? 3b and 8b Yes, they have the same variable and exponent. answer

Yes, they have the same variable and exponent. 21 Are these like terms? 7x2 and 8x2 Yes, they have the same variable and exponent. answer

Yes, they are both constants. 22 Are these like terms? 6 and 15 Yes, they are both constants. answer

No, they do not have the same variable. 23 Are these like terms? 8x and 8y No, they do not have the same variable. answer

No, they do not have the same exponent. 24 Are these like terms? n3 and n7 No, they do not have the same exponent. answer

Draw shapes to identify like terms 25 Draw shapes to identify like terms Answer x + 3x + x2

Draw shapes to identify like terms 26 Draw shapes to identify like terms Answer 5 – 10x + 12 + 10

Draw shapes to identify like terms 27 Draw shapes to identify like terms Answer 15 – 8x2 + 8y + x2

Draw shapes to identify like terms 28 Draw shapes to identify like terms Answer y – 3y2 + 8y + y2

Draw shapes to identify like terms 29 Draw shapes to identify like terms Answer 5n + 3x2 – 8n + 5y + 7x2

Draw shapes to identify like terms 30 Draw shapes to identify like terms Answer 18 – 2x – 2y – 8x2 + 8x + 10

Click each step to learn how to combine like terms. 31 Click each step to learn how to combine like terms. Step 1: Identify like terms 2x +10 + 3x Step 2: 2x + 3x 5x Add or subtract the coefficients Step 3: Bring down unlike terms 5x +10

Combine like terms. 8x2 + 5n – 25 – 5x2 8x2 – 5x2 + 5n – 25 3x2 32 Combine like terms. 8x2 + 5n – 25 – 5x2 8x2 – 5x2 3x2 + 5n – 25 3x2 + 5n – 25 Answer

Combine like terms. 3n2 – 8y + 15 + 3 3n2 – 8y 15 + 3 18 3n2 – 8y + 18 33 Combine like terms. 3n2 – 8y + 15 + 3 3n2 – 8y 15 + 3 18 Answer 3n2 – 8y + 18

Combine like terms. 7n + x2 + 8n – 2x 7n + 8n + x2 – 2x 15n 34 Combine like terms. 7n + x2 + 8n – 2x 7n + 8n 15n + x2 – 2x 15n + x2 – 2x Answer

Combine like terms. 14y + y + 17 – 8y 14y + y – 8y + 17 7y 7y + 17 35 Combine like terms. 14y + y + 17 – 8y 14y + y – 8y 7y + 17 7y + 17 Answer

Combine like terms. 45 + 7n3 + 9y – 25 – 6n3 20 + n3 + 9y 7n3 – 6n3 36 Combine like terms. 45 + 7n3 + 9y – 25 – 6n3 7n3 – 6n3 n3 + 9y 45 – 25 20 20 + n3 + 9y Answer

Combine like terms. 3x2 + 9y +7x2 – y –20 3x2 + 7x2 10x2 9y – y 8y 37 Combine like terms. 3x2 + 9y +7x2 – y –20 3x2 + 7x2 10x2 9y – y 8y – 20 10x2 + 8y – 20 Answer

Combine like terms. n2 + 3 +12n – 4n + 4 + 5n2 n2 + 5n2 6n2 3 + 4 38 Combine like terms. n2 + 3 +12n – 4n + 4 + 5n2 n2 + 5n2 6n2 3 + 4 7 12n – 4n 8n 6n2 + 7 + 8n Answer

Combine like terms. 20 + y + y + y2 + 5 + 5y2 y2 + 5y2 20 + 5 y + y 39 Combine like terms. 20 + y + y + y2 + 5 + 5y2 20 + 5 25 y + y 2y y2 + 5y2 6y2 25 + 2y +6y2 Answer

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

Common Core State Standards covered in this lesson. 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. (This activity covers combining like terms which is the part that I highlighted)