Systems of Equations

Distributive Property

100

-5(7u)

-35u

200

-6(4 + j)

-24 -6j

300

(1 + 9x) −10

-10 -90x

-90x -10

400

-9(3x + 8f - 2) - 4

-27x -72f +18 - 4

-27x -72f + 14

500

7(-12x - 3) +10(6x + 7)

-24x + 49

Two Step Equations

100

2x + 5 = 11

x = 3

200

0 = 4 +2n

n = -2

300

-2 +x/4 = -12

x = -40

400

-2 = 2 + v/4

v = 0

500

144 = −12(x + 5)

x = -17

Multi Step Equations

100

–4(–3n–8)=10n+20

n = -6

200

2(4–y)–3(y+3)=–11

y = 2

300

7x + 3 = 2x + 13

x = 2

400

13x–9x+20=30+2

x = 3

500

–(–8–3x)=–2(1–x)+6x

x = 2

Systems of Equations

100

y = 2

2x + 2y = 10

(3, 2)

200

6x + 7y = 20

y = 2x

(1, 2)

300

2x – 8y = 6

y = -7 – x

(-5 , -2) 

400

2x – 3y = -4

x = 7 - 3y

(1 , 2)

500

y = 6x + 11

2y – 4x = 14

(-1, 5)