Exploring Variables on Both Sides

What is the primary goal when solving equations with variables on both sides?

• Combine all like terms first

• Get all variables on one side and constants on the other

• Multiply both sides by the smallest coefficient

• Divide both sides by the largest coefficient

What should you do if you have the option to combine like terms?

• Ignore like terms and focus on variables

• Combine like terms as the first step

• Only combine terms on one side

• Move to the next step without combining

When faced with variables on both sides, what should you move first?

• Terms without variables

• Any constants present

• The variable with the lowest coefficient

• The variable with the highest coefficient

After moving variables to one side, what type of equation should you have?

• A quadratic equation

• A complex equation

• A two-step equation

• A one-step equation

What is the result of dividing both sides of an equation by the coefficient of the variable?

• You isolate the variable

• The equation becomes unsolvable

• The equation becomes a one-step equation

• The variable disappears

In the equation 3x - 8 + x = 2x + 4, what is the first step according to the video?

• Subtract 2x from both sides

• Combine like terms on the left side

• Divide both sides by x

• Add 8 to both sides

What should you do after getting a normal two-step equation?

• Solve it like any two-step equation

• Start over

• Combine like terms again

• Move the variables again

How do you handle an equation after distributing?

• Combine like terms on both sides

• Add constants to both sides

• Subtract the largest coefficient

• Immediately solve for x

What is the final step after isolating the variable term?

• Divide by the coefficient

• Add the coefficient to both sides

• Multiply by the coefficient

• Subtract the coefficient from both sides

What is the correct solution for an equation if after solving, you get x = 9/8?

• x = 1.125

• x = -1.125

• x = 8/9

• x = 9/8