Simplifying Expressions

Vocab

100

What are we doing to the expression when we are regrouping?

"Simplifying" the expression 

200

Define: Term 

A number, a variable, or a product of numbers and variables 

300

Define: Like Terms and Unlike Terms 

Like Terms: Terms with the same variable

Unlike Terms: Terms without the same variable 

400

Define: Variable

A symbol which functions as a placeholder for varying numbers or quantities 

500

Define: Coefficient 

A number that is multiplied by a variable in and algebraic expression 

Regroup Using Shapes

100

If variables are ⚪ and stand alone numbers are ⬜ How many of each do you have in this expression?

2x + 1 

⚪⚪      ⬜  

200

If variables are ⚪ and stand alone numbers are ⬜ How many of each do you have in this expression?

5+8x

⬜⬜              ⚪⚪⚪  

⬜⬜              ⚪⚪⚪

⬜                  ⚪⚪

300

If variables are ⚪ and stand alone numbers are ⬜ How many of each do you have in this expression?

4p+3+6p

⚪⚪⚪        ⬜⬜⬜

⚪⚪⚪

⚪⚪⚪

    ⚪         

400

If variables are ⚪ and stand alone numbers are ⬜ How many of each do you have in this expression?  

5x+11+13x+6

18 ⚪     17⬜

500

If variables are ⚪ and stand alone numbers are ⬜ How many of each do you have in this expression?

23y+43+21y+11+32y

76⚪   54⬜

Regroup Without Shapes

100

5n+65+9=

5n+74

200

2x+5+7x=

9x+5

300

8+4d+7+5d=

9d+15

400

21f+11+14f+32=

35f+43

500

32+43m+56+62m

88m+88

Simplifying Expressions (Multiplication)

100

3(x+5)=

3x+15

200

10(5n+2n)

70n

300

6(4n+7m+2p)

24n+42m+12p

400

12b+3(9a+4b)

27a+24b

500

23x-8(5+2x)

7x-40