Enter Title

Adding Polynomials

100

Add 2x-5 and 4x+3

6x-2

200

Simplify

(x²+xy-6)+(2x²-7xy+2)

3x²-6xy-4

300

The sides of a triangle are (2t+1), (4t-3), and (5t-6).  What is the perimeter of the triangle?

11t-8

400

²The distance from A to B is (5x²+3) miles, distance from B to C is (10-2x²) miles, and distance from C to D is 4 miles. 

If Mike walks from A to B then to C and finally to D, which is the total distance he travels in miles? 

3x+17 miles

500

A four sided figure has a perimeter of 34 in. The sides of the figure are as follows: (4x-7),(3x+2),(2x-3), and 5x.  What is the value of x. 

x=3

Subtracting Polynomials

100

Simplify

(y-3)-(-3y-5)

4y+8

200

6c-5-(4c+9)

2c-14

300

Simplify

(4x²-5xy+7x)-(7xy-8x-3x²)

7x²+3xy+15x

400

(6w²-3w+1)-(w²+w-9)

5w²-4w+10

500

2(2x³-5x²-1)-(8x³+3-8x²)

-4x³-2x²-5

Multiplying Polynomials

100

Simplify

-2y(3y²-4)

-6y³+8y

200

Time it takes to wash one window on a building is represented by 4a²-5. How long would it take to wash the windows on the building with 3a windows? 

12a³-15a

300

Simplify

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

6x²+17x-14

400

Simplify

y²(2y+3)+3y(y-5)

2y³+6y²-15y

500

A rectangle has the side length of (x+6). Its width is twice its length. What is the area of the rectangle? 

2x²+24x+72

Dividing Polynomials

100

Divide

(21x^2+35x)/(7x)

3x+5

200

Divide

(x^2-9x-10)/(9x-10)

x+1

300

(100x^2-36)/(100x^2-120x+36)

(5x+3)/(5x-3)

400

Simplify

(27x^2-48)/(9x^2+12)

3x-4

500

The area of a garden is given by the expression 2r²-3r-54.  The width of the garden is r-6, what is the perimeter of the garden? 

6r+6

Laws of Exponents

100

(4m³n⁴)²

16m⁶n⁸

200

The length of a rectangle is 2b³c and the width is 5ab². What is the area of the rectangle? 

10ab⁶c

300

(6⁴7⁷)^-3

(1)/(6^12(7^21)

400

Simplify

11⁸/(2(11)²)³

2^-311²

500

Simplify

((ab^2c^3)^3)/((ab^2c^3)^-1)

a⁴b⁸c¹²