8.1.2a Solving multi-step Equations

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Get the Variable by itself

• Guess and check

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

4x + 10 = -26

• 4
• -4
• -9
• 9

3a + 9 + 4a = 2

• -1
• 1
• no solution
• -7

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

4(a + 3) = -32

• -11
• -44
• -20
• -8

Solve:
3(3x - 6) = 18

• x = 4
• x = -4
• no solution
• infinite solutions

Find the solution:
10 = 4x - 2

• x = 3
• x = 2
• x = -3
• x = -2