2A.1 Solving Multi-Step Equations

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Solve:

7x + 19 = -2x + 55

• 4
• 14.8
• 8.2
• -4

What is the first step in solving this equation? 
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Solve:

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

• 1.2
• 6
• -6
• 7.5

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Solve:
5y + 34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions