Solving Equations by Combining Like Terms

What is a 'like term' in the context of combining terms in equations?

• Terms that are both coefficients

• Terms that have the same variable or are constants

• Terms that have different variables

• Terms that are on opposite sides of the equation

What is the first step in solving equations by combining like terms?

• Combine like terms on the same side of the equation

• Divide both sides by the coefficient

• Get the variable on one side and the constant on the other

• Add or subtract constants or variables to get them on opposite sides

In the first practice problem, what is the value of 'x' after solving the equation?

• x = 3

• x = 12

• x = 16

• x = 4

How do you move a constant to the other side of the equation?

• Multiply by the constant

• Perform the opposite operation (addition/subtraction)

• Divide by the constant

• Combine it with a variable

In the second practice problem, what is the combined form of 10x and 4x?

• 14x

• 6x

• 40x

• 10x + 4

What is the final solution for 'x' in the second practice problem?

• x = 14

• x = -28

• x = 2

• x = -2

In the context of solving equations, what does the 'coefficient' refer to?

• The number in front of a variable

• The constant on the other side of the equation

• The number added to a variable

• The sum of all like terms

What is the result of combining -3x and 6x in the third practice problem?

• -9x

• -3x

• 9x

• 3x

After solving the third practice problem, what does 'x' equal?

• x = 17

• x = -5

• x = 3

• x = 51

What operation is performed to isolate 'x' after moving constants to one side?

• Division

• Subtraction

• Multiplication

• Addition