Skill 1b: Solving Equations with Variables on Both Sides

Front

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

Back

Isolate one of the variables by moving all terms involving that variable to one side of the equation.

Front

Solve for y: 18 - 3y = 7y

Back

y = 1.8

Front

What does it mean to 'combine like terms' in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

Solve for x: 16 + 4x = 34 - 2x

Back

x = 3

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve for x: 10x - 10 = 9x + 7 + 4x - 2

Back

x = -5

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

Solve for x: x - 19 = -x + 21

Back

x = 20

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.

Front

Solve for x: x + 12 = 16 - x

Back

x = 2