Algebra 1 Chapter 7: Polynomials - Copy

Add, Subtract

100

(4x - 7) + (5x +3)

9x -4

200

(-3x - 3) - (x + 8)

-4x - 11

300

(4x^2−3x+5)+(x^2+7x−2)

5x^2+4x+3

400

(x^3−6x+10)−(2x^3+x^2−5)

−x^3−x^2−6x+15

500

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

-x^3 +x

Multiply

100

(x+2)(x+3)

x^2+5x+6

200

(x-5)(x+7)

x^2 +2x-35

300

(2x+5)^2

4x^2+20x+25

400

2x(3x^2−5x+4)

6x^3−10x^2+8x

500

(2x+3)^3 

8x^3+36x^2+54x+27

Factoring

100

factor the polynomial

x^2 + 12x

x(x +12)

200

Factor the polynomial:

9x³+6x²

3x²(3x+2)

300

Factor the polynomial :

x^2-3x+2

(x-2)(x-1)

400

Factor the polynomial:

x^2 + 30x + 161

(x +23)(x+7)

500

Factor the polynomial :

2x^3-6x^2+4x

2x(x-2)(x-1)

Solve by factoring

100

x^2-2x-15 = 0

(x-5)(x+3) = 0

x = 5 and x = -3

200

x^2+4x=45 

(x-5)(x+9) = 0

x = 5 and x = -9

300

Solve for x (it's already factored for you):

(2x +3)(3x -1) = 0

x = -3/2 and x =1/3

400

Factor and solve:

7x²+21x + 7 = 7

7x(x+3) =0

x = 0 and x = -3

500

Write a polynomial equation in standard form that has the answers x = 1 and x = 2.

x^2-3x+2

Area

100

A square has side length of 4 inches. What is the Area, with units?

16 inches squared

200

A rectangle has a width of 3 miles and a height of 4 miles. What is the area

12 square miles

300

A triangle has a height of 5 cm and a width of 8 cm. What is the area?

20 square cms

400

A circle has a radius of 5 inches. What is the area? Round to the nearest 10th of an inch.

78.5 square inches

500

A  cube has a side length of 3 inches. What are the surface area and volume of the cube?

SA: 54 square inches

V: 27 cubic inches