Solving Equations Distribute and Combine

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

• Distribute

• Combine Like Terms

• Move the Variable

• Divide

• Distribute

• Combine Like Terms

• Add 5 to both sides

• Divide by 10

What is the next step when solving this equation?

• Distribution

• Combine Like Terms

• Move the variable

• Division

When you are combining like terms, which operations are you using?

• Addition and/or Subtraction

• Multiplication and/or Division

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

Solve:
3(3x - 6) = 18

• x = 4

• x = -4

• no solution

• infinite solutions

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

Is 7 a solution to the equation? 3x+8-x = 5x-4

• yes

• maybe

• no

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