Multistep Equations- How many Solutions?

Two-Step Equations

100

2x+4=12

What is x=4

200

5x-3=27

What is 6

300

x/2 + 4=7

x=6

400

12=2x+10

x=1

500

2-3x=-28

x=10

Multi-step Equations

100

3(x+3)=5

What is -4/3 or -1.3

200

3x+4x+5=2x+10

What is x=-1

300

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

What is x=6

400

x + x+ 3x+5=12

What is x=7/5 or 1.4

500

15x-15x+3x=2x+10

x=10

Infinitely Many, No Solution, One Solution

100

2(x+3)=2x+6

What is infinitely many solutions

200

x + 2x + 7 = 3x - 7

What is No solution

300

4(x - 1) = 1/2(x - 8)

x = 0

400

3/2(2x + 6) = 3x + 9

Infinitely Many Solutions

500

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

No Solution

Is this a solution?? CHECKING

100

-6(2p - 2) = 84

p=6

No, P = -6

200

3 - 4(8x + 8) = -189

x=5

Yes, correct

300

133 = -7 - 4(1 - 6n)

n = 144/66 or 24/11

No, n = 6

400

6v + 8v = -6(5 - 4v) - 5(v - 3) 

v = -3

No, v = 3

500

7x - 2(5x + 2) = 8x - 2(1 + 6x)

x = 2

Yes, correct

Fractions/Decimals Multi-Step

100

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

x = -2

200

-132.6 = -5.1(5.9 + 4.02n)

n = 5

300

1/2(2 - 4x) + 2x = 13

No Solution

400

10 + x = 5((1/5)x + 2)

Infinitely Many Solutions

500

3.5 (-4.2 + 2.8r) = -73.5 

r = -6