Solving Equations with Variables on Both Sides

What is the first step in solving equations with variables on both sides?

• Isolate the variable

• Combine like terms

• Move variables to one side

• Distribute if necessary

What is the result of 16 divided by 8?

• 1

• 4

• 8

• 2

When using the traditional method, what is the opposite operation of adding 3x?

• Adding 3

• Multiplying by 3x

• Subtracting 3x

• Dividing by 3x

What does the box method help visualize?

• The distribution process

• Variables and constants separately

• The process of elimination

• The final solution

In the box method, what must you do when crossing the equal sign?

• Do nothing

• Multiply by -1

• Change the sign

• Divide by 2

In the second example, what is the simplified form of 9n equals 3?

• n equals 1/3

• n equals 3/9

• n equals 2/3

• n equals 3

In the box method, how do you handle constants when solving equations?

• Divide them by the variable

• Multiply them by the variable

• Ignore them

• Combine them in a separate box

What is the purpose of distributing before solving the equation?

• To eliminate variables

• To simplify the equation

• To isolate the variable

• To combine like terms

What is the result of adding 4w to both sides of the equation?

• 10w equals 10

• 6w plus 4w equals 10w

• 4w equals 6w

• 10 equals 10w

What does the final equation 10 equals 10w simplify to?

• w equals 1

• w equals 10

• w equals 0

• w equals 1/10