Solving Equations and Like Terms

Like Terms

100

Identify the like terms:

3x-6+9

-6 and 9

200

Are there like terms in the expression?  Why or why not?

8xy+9y-x²+y²

There are no like terms; there are no pairs of terms with the same variables and exponents. 

300

Identify the two like terms:

2x+17-xy+4x²y+8y-9xy

-xy and -9xy

400

Identify all of the like terms:

xy²-3xy²+xy-9y+y²x-2x

xy², -3xy², and y²x

500

Used to describe the process of adding like terms. 

Collecting or Combining

Simplify

100

−3p + 6p

3p

200

9 + 5r − 9r

9-4r

300

1 − 3v + 10

11-3v

400

10x + 36 − 38x − 47

-28x-11

500

3 − 8( 7 − 5n )

-53+40n

Operations Charts

100

What operation is happening to the variable second?

6 = −3(x + 2)

Multiply by -3

200

What operation is happening to the variable second?

−3( 4r − 8) = −36

Subtract 8

300

What operation is happening to the variable first?

24 = 6( −x − 3)

Multiply by -1

400

What is the second operation happening to the left side variable?

12( 2k + 11) = 12( 2k + 12)

Add 11

500

What is the third operation happening to the right side variable?

−12(x − 12) = −9( 1 + 7x )

Multiply by -9

Solve Two Steps

100

6 =  (a/4) + 2

16

200

9x − 7 = −7

0

300

2(n + 5) = −2

-6

400

 (n + 5)/ −16 = −1

11

500

 8 + (b/−4 )= 5 

12

Solve Multi Steps

100

−12 = 2 + 5v + 2v

-2

200

−3( 4r − 8) = −36

5

300

75 = 3( −6n − 5)

-5

400

−10n + 3( 8 + 8n ) = −6(n − 4)

0

500

12( 2k + 11) = 12( 2k + 12)

No Solution