Solving Equations with Variables on Both Sides of the Equation

Front

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

Back

Move all variable terms to one side of the equation by adding or subtracting.

Front

Solve for x: 5x - 3 = 2 + 6x

Back

x = -5

Front

What does it mean to isolate the variable in an equation?

Back

To get the variable by itself on one side of the equation.

Front

Solve for x: 3 + 4x = 5x + 1

Back

x = 2

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve for b: 7b + 3 = 5b + 5

Back

b = 1

Front

What is the definition of a variable in an equation?

Back

A symbol used to represent an unknown value.

Front

Solve for y: 5y - 8 = 3y + 10

Back

y = 9

Front

What is the importance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6