Unit 5 Review

Adding Polynomials

100

(5p² - 3) + (2p² - 3p³)

-3p³ + 7p² - 3

200

(-4k⁴ + 14 + 3k²) + (-3k⁴ - 14k² - 8)

-7k⁴ - 11k² + 6

300

Simplify: (3x² + x - 5) + 6x(2x - 3)

15x² - 17x - 5

400

The sum of 4a²b + 3a²b² and -2ab² + a²b²

4a²b + 4a²b² - 2ab²

500

The sides of a triangle are represented by the expressions:

3x² + 5            5x² – 6x            7x + 4

What is the perimeter of the triangle in simplest form?

8x² + x + 9

Subtracting Polynomials

100

(4n - 3n³) - (3n³ + 4n)

-6n³

200

(3 - 6n⁵ - 8n⁴) -(-6n⁴ - 3n - 8n⁵)

2n⁵ - 2n⁴ + 3n + 3

300

(17z + 5z² - 2) - ( 3z² - 13z + 5)

2z² + 30z - 7

400

The difference between 6x² - 2xy - y² and x² + xy + 3y² 

5x² - 3xy - 4y²

500

Joe ran (2x² + 5x – 3) yards on Monday, (4x – 7) yards on Tuesday, and (3x² + 10) yards on Wednesday. If Joe ran 14x² + 12x – 3 yards total for the entire week, what expression would represent how many yards he ran during the rest of the week after Wednesday?

9x² + 3x - 3

Multiplying Polynomials

100

4(x + 3)

4x + 12

200

6x(5x + 3)

30x² + 18x

300

What is the product of -2x and 4y - 7x + 3xy

-8xy + 14x² - 6 x²y

400

(10x + 5)(-8x + 4) 

-80x² + 20

500

What is the area of a rectangle with a length of 3x²+2x+5 and a width of 4x²y

12x⁴y + 8x³y + 20x²y

Combining Like Terms

100

3p + 5 - p

2p + 5

200

5x² + 2x + 7 - 8x

5x² - 6x + 7

300

4x + 30 + 10y - 15

4x + 15 + 10y

Vocabulary

100

Unknown values represented by letters

Variable

200

These are separated by + or -

Terms

300

The number found at the beginning of a term 

Coefficient

400

A fixed value 

Constant

500

The power to which a given number or expression is raised 

Exponent/Degree