Multi-step Equations- Enriched

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

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

• 4
• 3
• 2
• 1

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Solve the equation:
3x - x + 2 = 4(2x - 1)

• infinite solutions
• x = 1
• x = -1
• no solution

Describe the solution set:
2(x + 5) = 2x + 5

• one solution
• no solution
• infinitely many solutions
• two solutions

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)
• Combining x and 3x
• Subtracting 1 from both sides
• 5 - 2

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

• 4
• 3
• 2
• 1

2x + 3(5x - 7) = 47

• x = 1
• x = 2
• x = 3
• x = 4

-8(-8x - 6) = -6x - 22

• 2/5
• -1
• 8/7 
• 2

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k