Algebra 9: Polynomials Review!

Equations

100

BOARD RACE!! Solve for y: 3 + 2y = x - 4

y = (x-7)/2

200

Solve for y: y - 17 = x + 2y

y = -x - 17

300

Solve for y: 4x = (y/2) + 1

y = 8x - 2

400

Solve for y: 4/3x + y/x = 21

y = 21x - 4/3

500

DAILY DOUBLE!! Solve for y: (y+1)/4 + 2(x+5)/3 = 7/2

y = (-1 - 8x)/3

Systems of Equations

100

Solve for x: y = 12 3x - 6 = 2y

x=10

200

BOARD RACE!! Solve for x and y: x + 3y = 5 x - 2y = 6

x=28, y=11

300

Solve for x and y: x = 3 + y 2x + 4y =18

y=2, x=5

400

Solve for x and y: 3y + 2x = 25 y + 4x = 5

x=-1, y=9

500

Solve for x and y: 4x + 3y = 12 -3x - 2y = -6

y=12, x=-6

Simplifying Exponents

100

4b(b^2+1)

4(b^3) + 4b

200

m^7 ÷ m^3

m^4

300

4(a^2)(b) * 3(a^3)(b^4)

12(a^5)(b^5)

400

BOARD RACE!! Simplify. (x^2)(x/2 - 1) + 4x

(x^3)/2 - x^2 + 4x

500

(y^2)/(y^5) * (y^4)

y

FOIL

100

(x+2)(x+2)

x^2 + 4x + 4

200

(x - 4)(x + 3)

x^2 - x - 12

300

(x - 12)(x + 5)

x^2 - 7x - 60

400

(1/2)(2x - 6)(x+18)

x^2 + 15x - 54

500

(x - 1/2)(x + 3/7)

x^2 - x/14 - 3/14

Factoring

100

Factor completely: b^2 + 8b + 7

(b + 1)(b + 7)

200

6x^2 + 7x + 2

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

300

BOARD RACE!! Solve for x. 3x^2 + 10x + 9 = -3x - 5

x = -7/3 , x = -2

400

Solve for x. 4x^2 + 4x + 17 = -x(x + 5) + 19

(5x - 1)(x + 2)

500

Solve for y. 6y^2 + 66y + 60 = 0

y = -1 , y = -10