Solving Equations

Quadratic equations

100

x²+3x+2=0

x= -1 x = -2

200

4x²-18=18

x= -3 x=3

300

9x²-100=0  (Write answer(s) in fraction form)

x= -10/3 x = 10/3

400

2x²+5x-3 = 0

x= -3 x = 1/2

500

-3x²=18x+27

x=-3

Variables on both sides

100

7x-17=4x+1

x= 6

200

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

x= -1

300

8+4x=3(x-1)+12

x= 1

400

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

no solution

500

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

x= 3

Distributive Property Equations

100

Solving Equations

-(-x + 2) = 6

x = 8

200

Solving Equations

-5(p + 4) = 6

p = -5.2

300

Solving Equations

2(n+5) = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

100

Solving Equations

3 + 4x = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = 7x + 4 

x = -7

400

Solving Equations

14 = 3a + 8

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Operations with polynomials

100

add (3x²+4x-1)+(3-2x²+6x)

x²+10x+2

200

Multiply (x-5)(x+3)

x²-2x-15

300

(3z-9z²+2)+(2z²-4z+8)

-7z²-z+10

400

(4x-2y)(2x-3y)

8x²-16xy+6y²

500

(-7h²-4h+7)-(7h²-4h+11)

-14h²-4