Polynomials!

AddingPolynomials

100

(-4x²-3+2x) + (-4x+8+5x²)

x²-2x+5

200

(3x²+4x) + 2(2x²-3x)

7x²-2x

300

Find the PERIMETER of a rectangle in which the length is (3x+6) and the width is (x+2).

8x+16

400

(5x³+4x²-2x+2) + 2(2x³-2x²+x+5)

9x³+12

500

a: 5x²+4x-3    b: 3x²+7    c: x³-5x²-x-4

What is  (a + c)+b?

x³+3x²+3x

SubtractingPolynomials

100

(7x+4) - (5x+11)

2x-7

200

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

-6x

300

(-5x+8+6x²) - (4x²+9-7x+x³)

-x³+2x²+2x-1

400

Given: 5x² + 12x - 6x - $ = 5x² + 10x - 8

What can replace the $ sign to make it true?

A. 4x+8    B. 4x-8    C. -4x+8    D. -4x-8

C. -4x+8

500

(6x³+4x²-4x+5) - (2x³-3x²+5x-5) - (x²+x+5)

4x³+6x²-10x+5

MultipylingPolynomials

100

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

6x²+11x+3

200

-(x-3)(x+8)

-x²-5x+24

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

(x+2)³

x³+6x²+12x+8

500

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

In Context & Such

100

Write the polynomial in standard form THEN classify this polynomial by degree AND by the number of terms.  

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

7x²-19x+7 , quadratic trinomial

200

What is the AREA of the triangle which has a base 2x+6 and a height x+3. 

x²+6x+9

300

Find the area of the following shape. 

7x²+9x+3

400

The perimeter of the following quadrilateral is 24x-10. 

What is the measure of the missing side length?

6x-14

500

Mrs. James wants to know how many student desks can fit in her classroom. The length of her classroom is 2x+5 ft and the width of her classroom is x+4 ft. However, the AREA of her teacher's desk is 6x+10. What is the area of her classroom that can be used for student desks?

2x²+7x+10 square ft

SPIRAL

100

Find f(-3) given f(x)=x²-5x

24

200

Riddle time! You're in a race and you pass the person in second place. What place are you in now?

second place

300

The numbers along the x axis have been removed because the teacher made a mistake when creating the graph. Using the point (20,80) as your guide, what should be the correct change on the horizontal axis for each gridline given?

a) 1     b) 2.5    c) 4     d) 5     e) 5.5      f) 8  

b) 2.5

400

There are approximately 1500 leaves on a tree. If the leaves are falling at a constant percent rate of 12% each day, how many leaves will remain after one week. 

613 leaves

500

Given the function f(x)=3x² - 8x + 2,
what is the average rate of change from x=-4 to x=2 ?

-14