Sam's Sophisticated jeopardy

Inequalities

100

-5 + w ≤ -8

w ≤ -3

200

f - 6 < -9

f < -3

300

-5 ≤ 4 + a

a ≥ -9

400

-3x - 8 > -26

x < 6

500

3x ≥ 3/5(x - 2)

x ≥ -1/2

Linear Equations

100

5x - 3 - 7x = x + 8

x = -11/3

200

x + 2x + 3 = -7x - 5

x = -4/5

300

5 - x/3 = 4(x + 1)/6

13/3 = x

400

-[6 - 1(7 + x)] = 10 + 3(2x - 5)

6/5 = x

500

-(-3 + x) + 4 = 2(x + 3) - 6x + 7

x = 2

Two-Step Equations

100

-243 = -9(10 + x)

x = 17

200

7(9 + k) = 84

k = 3 

300

8 + b/-4 = 5

b = 12

400

n + 5/-16 = -1

n = 11

500

-3 = 1 + x/24

-96 = x

Solving Functions For y

100

2y = 3x - 8

y = 3/2 x - 4

200

5x + 3y = 12

y = -5/3 x + 4

300

3x + 5y = 10

y = -3/5 x + 2

400

-2y = 3x - 10

y = -3/2 x + 5

500

8 + 5x = 9 - 4y

y = 1/4 - 5/4 x

Solving Equations Using Distribution

100

-3x + 2(-5x - 7) = -131

x= 9

200

2x - 5(-2x + 10) = -134

x = -7

300

-150 = -3x - 2(6x - 15)

12 = x

400

-7 + 5(-x + 15) = -69

x= 12

500

205 = -5x + 2(-5x + 35)

-9 = x