Unit 8 Review

Exponent Rules

100

Simplify:

x⁰

1

200

Simplify:

(x³)(x³)(x)

x⁷

300

Simplify:

(x²)⁴

x⁸

400

Use negative exponent rule:

x^-5

1/x⁵

500

Use rational exponent rule:   x^1/2

√x

Combining

100

Add the polynomials (9x+4)+(3x-1)

What is 12x+3

200

Subtract the polynomials (8x+3)-(2-4x)

12x+1

300

Combine: (x² +3x-1)+(5x²-5x-7)

What is 6x²-2x-8

400

Combine: (x²-3x+4)-(4x-x²-10)

2x²-7x+14

500

Combine: (9xy-2y+3y)-(4xy+5y)

What is 5xy-4y

Multiplying monomials and binomials

100

Multiply: x(14+x)

x²+14x

200

Multiply -3x(x-4)

What is -3x²+12x

300

Multiply: -5x(-x²+4)

What is 5x³-20x

400

Multiply: 4x(5x-y)

What is 20x²-4xy

500

Multiply: 3xy(xy-1)

What is 3x²y²-3xy

Multiplying binomials

100

Multiple: (x+1)(x+1)

What is x²+2x+1

200

Multiply: (x+5)(x-4)

What is x²+x-20

300

Multiply: (x-6)(2x+1)

What is 2x²-11x-6

400

Multiply: (3x-1)(4-2x)

-6x²+14x-4

500

Multiply: (x+y)(x+y)

What is x²+2xy+y²

Word Problems

100

The sides of a triangle have the following measurements, ( x-3), (x+9) and (x-2), what is the perimeter?

3x+4

200

A triangle has the height of  ( x-3) and base of (x-2), what is the area?

½(x²-5x+6)

300

A rectangle has a width of (7+x) and a length of (2+x). What is the perimeter?

4x+18

400

A rectangle has a width of (7+x) and a length of (2+x). What is the area?

x²+9x+14

500

Find the area of a room where dimensions are

 w=(2x-4) and l=(4x-9).

8x²-34x+36