Combining Like Terms!

Combining Like Terms!

We will need these skills to help us with our next topic!

Like Terms

• Let's review!

• "Like Terms" are terms with the the same variable and degree

• 5x and 7x are like terms

• 3x² and 4x² are like terms

• 5x and 3x² are NOT like terms.

• 3 and 7 are like terms (constants)

• 3x and 4 are NOT like terms (one variable, one constant)

"Like Terms"

Just like we can't add apples and oranges together, we can't add variables and numbers together.

3x + 6 + 7x + 3

= 10x + 9 -> Final answer

THIS DOES NOT EQUAL 19x or 19!!!

Multiple Choice

Simplify

4x + 10x =

• 14

• 6x

• -6x

• 14x

Multiple Choice

Simplify.

2x - 5x =

• -3x

• 3x

• -3

• 3

Multiple Choice

Simplify by combining like terms:

5a + 2a + 2a

• 9a

• 8a

• 7a

Multiple Choice

Which expression is equivalent to:

d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Multiple Choice

Simplify by combining like terms:

-2x + 11 + 6x

• 8x + 11

• 4x +11

• 4x

• 15x

Multiple Choice

Simplify by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Examples of Like Terms

Combining Like Terms Examples

Use web-paint to color-code or draw shapes.

Re-order to make things easier!

Multiple Choice

Simplify the following expression. (Use webpaint!)

3 + 5x + 8 - 2x

• -3x² - 11

• 3x² + 11

• 11 - 3x

• 11 + 3x

Multiple Choice

Simplify the following expression:

6x + 5 - 3x -1

• 9x+6

• 3x+4

• 3x-4

• 6x+4

Multiple Choice

Simplify: 7j + 3k + 10j - k

• 3j + 4k

• 17j + 2k

• 19jk

• Can't be simplified

Multiple Choice

Simplify: $$7y^2\ -5y\ +\ 9y\ -\ 5y^2$$  

• $$6y^{2\ }$$  

• $$2y^{2\ }+\ 4y\$$  

• $$12y^{2\ }+\ 14y$$  

• Can't be simplified

Multiple Choice

Rewrite the expression by combining like terms.

2x² + 10x + 5x² + 25x

• 3x² + 3xy + 6y

• 6y² + 2xy + 2x

• 7x² + 35x

• 3x² + 6xy + y

Multiple Choice

Combine like terms:

4y + 8d - 2y + 3d

• 11d + 6y

• 11d + 2y

• 6y + 5d

Multiple Choice

2a² – 8a²+ 5a³– 11a²

• - 5a² + 5a³
• -17a² + 5a³
• 5a^{2 -} 5a³

Multiple Choice

(4p³ – 2p² ) – (5p³ + 7p²) 

• - 9p² + 5p³
• - 9p² - p ³
• - 9p² + p ³

Multiple Choice

9m³ + m + 2m² – 3m³

• m + 2m² - 6m³
• m + 2m² + 11m³
• m + 2m² + 6m³

Multiple Choice

– 9r³ + 2r – 5r³ + 3 – 20r

• -4r³ - 18r + 3
•  -14r³ - 18r + 3
•  -14r³ + 18r + 3