Combine Like terms

Combine Like Terms

Review Chapter 6

Combing Like Terms

• You have to combine like terms

• x with x and y with y and numbers with numbers

• Remember your signs

Cobine like terms

• If you have 4x+5x

• Just add 4+5

• equals 9

• Then add x to the end

• The final answer is 9x

Multiple Choice

Which expression is the simplified form of 6x + 5x

• none of these

• 11

• 11x

• 12x

Cobine like terms

• If you have multiple terms then look to see what is the same for each term

• Example: 3 + 6x + 8 + 2x

• First combine "x's" so 6x + 2x = 8x

• Then combine what is leftover 3+8 = 11

• Now put the two answers together

• 8x+11

Multiple Choice

Simplify: 3x + 5 + 2 + 9x

• None of these

• 8x + 11

• 3x + 7

• 12x + 7

Remember your signs

• -2x + 9x is not 11x

• since 2 is negative think of subtracting

• 9 - 2 is 7 so -2x + 9x = 7x

Multiple Choice

What is the value of 6x + 3 - 8x - 5?

• -2x - 2

• 2x + 2

• 2x - 2

• -2x + 2

What is the value of 6x + 3 - 8x - 5?

• First combine 6x and -8x

• Since 6 - 8 = -2 then it is -2x

• Then combine 3 and -5

• 3 - 5 = -2 also

• Put the two answers together to get -2x - 2

Multiple Select

What was the value of x from the last question?

• 2

• -2

Multiple Choice

What is 5m + 7 - 2m + 4m - 15

• 9m + 7

• 7m - 8

• 9m - 8

• 7m - 15

What is 5m + 7 - 2m + 4m - 15

• Start with 5m - 2m = 3m then add the last m value of 4

• So 3m + 4m = 7m

• Then look what is left to combine 7 and -15 again since negative think subtract

• So 15 - 7 = 8 and take the sign of the bigger number so since 15 is negative and it bigger than 7 the final answer is -8

• Put it all together and your final answer is 7m - 8

Multiple Choice

What is 4x + 3 + (-3x) + 5

• 7x +3

• 7x + 5

• x + 8

• x + 5

What is 4x + 3 + (-3x) + 5

• You could see it as 4x + (-3x) + 3 + 5

• 4-3 = 1 so it is 1x or x

• Second part 3 + 5 = 8

• Put them together x + 8

Multiple Choice

What is -x + 4x - 6x - 8x

• -11

• -11x

• 12x

• -12x

What is -x + 4x - 6x - 8x

• Take it step by step

  -x +4x = 3x

• 3x -6x = -3x

• -3x - 8x = -11x

Multiple Choice

2f + f

• 3f
• 2f
• f

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 23
• 23v
• 9 + 14v
• 9v + 14

Multiple Choice

5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13
• 6x + 2y + 2
• 25x + 2y + 3
• x + 7y + 12

Multiple Choice

2(4 + 9w) 

• 8+9w
• 2+9
• 8+18w
• 2+9w

Multiple Choice

5(2x + 3)

• 10x + 3

• 10x + 15

• 25x

• 7x + 8

Multiple Choice

10( b + 3)

• 10b + 30

• 30b

• 10b + 3

• 10b - 3

Multiple Choice

Collect like terms: 
4y + 8d - 2y + 3d

• 11d + 6y
• 11d + 2y
• 6y + 5d

Multiple Choice

Simplify: 20n + 4 + 5 + 7n

• 36n

• 24n + 2n

• 27n + 9

• 24n + 12

Multiple Choice

y + 5x - 10

• coefficient 
• terms
• variables
• constant

Multiple Choice

3y + 5

• term 
• variable 
• coefficient
• constant

Multiple Choice

2x + 3y + 5x = 75

• coefficeient
• constant
• terms
• variables

Fill in the Blanks

7y+2y

Fill in the Blanks

-8d+8d

Fill in the Blanks

12a-5a

Fill in the Blanks

-5c-6c

Fill in the Blanks

4p-11p

Fill in the Blanks

2h-9h+5h

Multiple Choice

8x-10x+x

• 2x

• -x

• -2x

• x

Fill in the Blanks

11q+8-q

Fill in the Blanks

-4k-7+5k

Fill in the Blanks

7m-10-4m+3

Fill in the Blanks

-5n+1-8n-6

Fill in the Blanks

8r-9-2r-1

Fill in the Blanks

12-6z-5+10z

Multiple Choice

6w-12-w+11

• 5w-1

• 5w+1

• 7w-1

• 7w+1

Multiple Choice

Simplify:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Multiple Choice

Simplify:

3x - 5x

• 2x

• 8x

• -2x

• 15x²

Multiple Choice

Simplify:

3x + 2x

• 5x

• x

• 6x

• 5

Multiple Choice

Simplify:

-6k + 7k

• k

• -k

• 12k

• -12k

Multiple Choice

-r - 10r

• 11r
• -11r
• 9r
• -11

Multiple Choice

Simplify:

2x + 1 + 7x

• 10x

• 10

• 9x + 1

• 9 + 1x

Multiple Choice

Simplify:

3x + 2x + 3y - 7y

• 5x + 10y

• 5x + 4y

• 5x - 4y

• 5x -10y

Multiple Choice

Simplify:

n -10 + 9n - 3

• -3

• 9n-3

• n

• 10n -13

Multiple Choice

Simplify:

19 - 3 + 5b

• 16 + 5b

• 21 + 5b

• 16 - 5b

• 21 - 5b

Multiple Choice

Simplify:

5 + 4x + 2x - 8

• 13 + 6x

• 6x - 3

• 6x - 13

• 6x + 3

Multiple Choice

What are like terms?

• Terms with different variables

• Terms with the same variables

• Terms with no variables

Multiple Choice

How many terms does the following expression have: 3x-9+4+2x

• 1

• 2

• 3

• 4

Multiple Choice

Combine the like terms in the expression: 4t-9+3t

• 7t-9

• 43t-9

• There are no like terms

Multiple Choice

Combine the like terms in the expression: 4z+2z-8

• There are no like terms

• 6z-8

• 8z-8

Multiple Choice

Combine the like terms in the expression: 5y+2+3y+6

• There are no like terms

• 8y+2+6

• 53y+12

• 8y+8

Multiple Choice

Combine the like terms in the expression: 12c+2+7c

• There are no like terms

• 19c+2

• 5c+2

• 19c

Multiple Choice

Combine the like terms in the expression: 4+9g-3g

• 4+6g

• There are no like terms

• 13g-3g

• 4+12g

Multiple Choice

Combine the like terms in the expression: 3r+2r-8t

• There are no like terms

• 5r-8t

• 13rt

Multiple Choice

Combine the like terms in the expression: x-8+4x

• 3x-8

• 4x-8

• There are no like terms

• 5x-8

Multiple Choice

Combine the like terms in the expression: 5b+9+3b

• There are no like terms

• 8b+9

• 2b+9

Multiple Choice

Combine the like terms in the expression: 12x+2+3x

• 9x+2

• 15x+2

• There are no like terms

• 13x

Multiple Choice

Combine the like terms in the expression: 4d+2d-2

• 6d-2

• d

• There are no like terms

• 4d

Fill in the Blanks

Combine the like terms in the expression: 3f+d+4f

Fill in the Blanks

Combine the like terms in the expression: 2w+5w+4

Fill in the Blanks

Combine the like terms in the expression: 2s-4w+5+6s

Fill in the Blanks

Combine the like terms in the expression: 5y+9+8y

Fill in the Blanks

Combine the like terms in the expression: 5p+9-2p

Fill in the Blanks

Combine the like terms in the expression: 4f+9f-8