Algebra I

Systems of Equations

100

y=2x y=x+5 Solve for x and y.

x=5 and y=10

200

x+4y=6 x+y=3 Solve for x and y.

x=2 and y=1

300

x-2y=-19 5x+2y=1 Solve for x and y.

x=-3 y=8

400

2x+y=3 -x+3y=-12 Solve for x and y.

x=3 and y=-3

500

2.50x+1.75y=24.75 x+y=12 Solve for x and y.

x=5 and y=7

Multiplying Polynomials

100

(5x²)(4x³)

20x^5

200

(x+5)(x-3)

x²+2x-15

300

(x+2)(x²-5x+4)

x³-3x²-6x+8

400

(3x-4)(-2x³+5x-6)

-6x⁴ + 8x³ + 15x² - 38x +24

500

(√12+√15)(√6+√30)

21√2+9√10

Equations

100

3(t-1)=9+t

6

200

2(x+4)-5 = 2x+3

all real numbers

300

-2(x+3)=4x-3

-1/2

400

√(2m+3) =5

m=11

500

√(8-d)=d-8

d=8

Quadratics

100

(x-3)(x+7) = 0

x=3 or x=-7

200

x² +7x +10 = 0

x=-5 or x=-2

300

x² +2x = 8

x=-4 or x=2

400

-2x² = 18 - 12x

x=3

500

2x +6x = -4

x=-1 or x=-2

Factoring Polynomials

100

x² + 13x +36

(x+4)(x+9)

200

x² -4x -45

(x-9)(x+5)

300

2x² + 9x +10

(2x+5)(x+2)

400

15x² + 4x -3

(3x-1)(5x+3)

500

6x² -11x -10

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