Solving Equations with Variables on Both Sides

What is the primary reason for transitioning from graphing to algebra in solving systems of equations?

• Algebra provides more accurate results than graphing.

• Graphing is more accurate than algebra.

• Algebra is easier to learn than graphing.

• Graphing can solve more types of equations than algebra.

What is the first step in solving a two-step equation?

• Divide both sides by the coefficient of the variable.

• Combine like terms.

• Perform the distributive property.

• Do the opposite operation of addition or subtraction.

When solving equations with variables on both sides, what should you not do?

• Follow the steps for a two-step equation.

• Combine like terms across the equal sign.

• Move all variables to one side.

• Cancel out the smaller variable.

What is a common mistake when solving equations with division?

• Applying multiplication instead of division.

• Combining unlike terms.

• Forgetting to distribute.

• Not reversing the operation correctly.

What is the correct approach when you have variables on both sides of an equation?

• Combine like terms first.

• Move all variables to one side.

• Apply the distributive property immediately.

• Solve the equation as a one-step equation.

What is the result of solving the equation 4x - 6 = 2x + 10?

• x = 8

• x = 4

• x = -4

• x = 2

In the context of solving equations, what does 'combining like terms' mean?

• Multiplying coefficients of the same variables.

• Adding or subtracting terms with different variables.

• Dividing terms by their coefficients.

• Adding or subtracting terms with the same variable.

What is the purpose of the distributive property in solving equations?

• To combine unlike terms.

• To add variables to both sides of the equation.

• To simplify expressions before solving.

• To eliminate variables from one side.

How do you solve an equation with the distributive property on both sides?

• By applying the distributive property after solving.

• By moving all variables to one side first.

• By distributing and then combining like terms.

• By combining like terms first.

What is the correct solution for the equation 3(x + 2) = 9?

• x = 3

• x = 5

• x = -1

• x = 1