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Like Terms
Adding
Subtracting
Vocabulary
Standard Form & Degree
100

Combine like terms:

3x + 7 - x

2x - 7

100

Add the polynomials:

(8x2 - x + 4 ) + (x - 5)

a) 8x2 + 9             b) 8x2 -1

c) 8x2 - 2x + 9      d) 8x2 - 2x -1 


 b) 8x2 -1

100

Subtract the polynomials and write the answer in standard form:

(2x + 15) - (x + 4)

x + 11

100

What is the constant of the polynomial?

x2 + x + 2

2

100

Write the polynomial in standard form and it degree:

2x + x2

x2 + 2x 

Degree= 2

200

Combine like terms:

4x2 - 3x + x2 - 5

5x2 - 3x - 5

200

Add the polynomials:

(x2 + 4x + 4) + (x2 + 4x + 4)

2x2 +8x + 8

200

3(x + 4) - (2x + 7)

a) x + 5         b) x - 10

c) x - 3          d) x + 11


a) x + 5  

200

How many terms is this polynomial?

What type of polynomial is it? (Monomial, binomial, trinomial, polynomial)

3x5 + 3x4 + 7

3, Trinomial

200

Write the polynomial in standard form:

-3x2 - x + 4 + 2x3

2x3 - 3x2 - x + 4

Degree= 3

300

Combine like terms - leave answer in Standard Form:

-4x - 5x + 6x3 + 8

6x3 - 9x + 8

300


The sum of 2(x2-1)  and  3(x-4) is

2x2 +3x-14

300

Subtract the polynomials and write the answer in standard form:

(5x2 + 3x + 7) - 2(x3 + 2x2 + 1)

-2x3 + x2 + 3x + 5

300

How many terms is this polynomial in standard form? 

What type of polynomial is this?

-x4 + 3x - 5x4 + 7x 

2, binomial 

300

Write the polynomial in standard form:

-x + x2 - 4 + 5x2 

6x2 - x - 4

Degree =2

400

Combine like terms and leave in Standard Form:

18xyz + -17xyz - 16x2

-16x2 + xyz

400

The expression -2(x3-2x2+1)+(3x3+3x2-5) is equivalent to

a)  x6+7x4-7                            b) x3+7x2+7

b).  x3+7x2-7                            d) x3+7x-7

b).  x3+7x2-7    

400

The expression 3( x2 + 2x - 3) - 4( 4x2 - 7x + 5) is equivalent to:

a) -13x - 22x + 11             b) -13x2 + 34x - 29

c) 19x2 - 22x + 11              d) 19x2 + 34x - 29

  b) -13x2 + 34x - 29

400

What are the coefficients?

What is the constant?

-x + x2 - 3x3 + 2x2 - x

-1,1,-3,2,-1

0

400

Write the polynomial in standard form:

6x - 5x2 + 14 + 3x - 2x3

-2x3 - 5x2 + 9x + 14

Degree =3

500

Combine like terms and leave in Standard Form:

-x3 - 3x2 + 4x3 - 3x2 + 5x5

5x5 + 3x3 - 6x2

500

Add the polynomials and write the answer in standard form:

2(-3x3 + x + 3x3 + x) + 4(2x2 - 2x + 15)

8x2 - 4x + 60

500

Subtract the polynomials and write the answer in standard form:

-3(3x - 3x2 - 3x3 - 3x4) + 3(3x -3x2 - 3x3 - 3x4)

0

500

What are the coefficients?

What is the variable?

What is the constant?

What is the polynomial in standard form?

5x5 + 4x4 - 3x3 - 2x2 + x5 + 2

5,4,-3,-2,1

x

2

6x5 + 4x4 - 3x2 - 2x2 + 2

500

Write the polynomial in standard form:

2 (3x - 6x + 0.5 x2 + 0.5 x3 - 0.5 x2 + 2x3 )

                                     

5x3 - 6x

Degree = 3