Polynomials Jeopardy!!

Perimeter and Area

100

A triangle has sides of length 3x+ 4y, 5y+ 6-2x, and 7 + 8x. What is the perimeter of the triangle?

The perimeter is 9x+ 9y + 13

200

What is the area of a rectangle given a length of 4x²+ 2x and a width of 8x-3?

32x³+ 4x² - 6x

300

The area of a trapezoid can be found using the formula A= 1/2h(b₁+b₂). What is the area of a trapezoid measuring 4x²+8 and 2x + 3 for the bases and a height of 2?

8x³+ 12x²+ 16x + 24

400

What is the polynomial which represents the missing side of a triangle with a known perimeter of 10x² -3xy + 6y² and with known sides of 2x² + 2xy and 7x² + 3y²?

x² -5xy + 3y²

500

David has a rectangle and a right triangle.The length of the rectangle is 5 more than its width, w.The length of the shorter leg of the triangle is equal to the rectangle's width.The length of the longer leg of the triangle is twice the length of the rectangle.

What function, f(w), represents the combined area of the rectangle and the triangle?

f(w)=2w² + 10w

Adding Polynomials

100

What is the sum of (5+2x+3x²)+(7x²+9-2x)?

10x² + 14

200

What expression is equivalent to (-3x²+5xy-2y²)+(2x²-3xy-13y²)?

-x²+2xy -15y²

300

What is (-4x²+2x-3) more than (5x²-4x+8)?

x²-2x+5

400

What is the total when (8x²y-4x+3)is added to (7x⁴+2x³y-11x)?

7x⁴+2x³y+8x²y -15x +3

500

Aniya wants to fence in her garden. The length of her rectangular garden is 5x-4 while the width is equal to x² -9x + 16. What is the expression which represents the amount of fencing needed?

2x² - 8x + 24

Subtracting Polynomials

100

What is the difference when (3x²+5) is subtracted from (6x²+4)?

3x²-1

200

Simplify the following (8x+4)-(6x+8)

2x-4

300

Simplify (2x-4)-2(4x-2)

-6x

400

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15

500

What is the simplified form of the following expression?

 5y²+(4y³+5y) + (3y²-2y) - 2(7y³- 6y² + 8y)

-10y³ +20y² -13y

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+11x+3

200

(2x-5)(3x+2)

6x²-11x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+22x-4

400

(3x²-2x)(7x-8x²+9)

-24x⁴+ 37x³+13x²-18

500

Mark has a rectangle and a right triangle .The length of the rectangle is 6 more than 4 times the width.The length of the shorter leg of the triangle is half the length of the rectangle. The length of the longer leg of the triangle is equal to 8 more than 2 times the width. What is an expression that would represent the combined area of the polygons?

Which function, f(w), represents the combined area of the rectangle and the triangle?

6w²+17w +12

#throwbackthursday

100

Simplify: (3x²)(-2x³)

-6x⁵

200

Given the following set of data what represents the range and is it a function or only a relation?

(-1,1) (2,3) (8,-3)

(1,3,-3)

300

Convert to slope-intercept form: 4y-8x=24

y=2x+6

400

What is the equation of the line perpendicular to -1/2x + 3=y which runs through (-2,1)?

y=2x+5

500

Solve the system of equations :

     y=3x-2

     y=-x-6

(-1, -5)