Solving Two-Step Equations Practice with Variables on Both Sides

To check your solution. You do what first?

• Isolate the variable

• Opposite

• Substitute the variable with the answer

• Use the "Golden Rule"

How do you solve it?

5x + 14 = 12x

• start by subtracting 5x from both sides

• start by adding 14 to both sides

• start by adding 5 to both sides

• start by adding 12 to both sides

Set up an equation to describe the following: five boxes of donuts and a $3 coffee cost a total of $43. Use B for boxes of donuts.

• 5 + 3B = 43

• 43 = 5B + 3

• 5B + 43 = 3

• 5B + 3 = 43

Equations with variables on both sides are best solving using....

• Inverse Operations

• Division

• Multiplication

• Parenthesis

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

If we wanted to move variables to one side, what operations could we do to accomplish this?

(2 answers) Remember there are two ways of moving the term with the variable. **

7x-8=-5x+3

• Subtract 7x from both sides

• Add 8 to both sides

• Subtract 3 from both sides

• Add 5x to both sides

What should be done after isolating the variable in a two-step equation?

• Apply inverse operations

• Identify the variable

• Move terms to the opposite side

• Double-check each step

Why is it important to simplify expressions in two-step equations?

• To reduce the equation to its simplest form

• To make the equation more complex

• To add more variables

• To avoid solving the equation

What is crucial for solving two-step equations accurately?

• Applying inverse operations correctly

• Skipping steps

• Adding more terms

• Ignoring the variable

What is the first step in solving two-step equations?

• Identify and isolate the variable

• Apply inverse operations

• Simplify the expressions

• Double-check each step