Solving Equations with Variables on Both Sides

Front

What does it mean when an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Solve: x + 2 = x + 4

Back

no solution

Front

What is the first step to solve an equation with variables on both sides?

Back

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

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

What does 'less than or equal to' mean in mathematical terms?

Back

It indicates that a value can be either less than or exactly equal to another value.

Front

Solve: 1/2(s - 12) = 1/4(s + 16)

Back

s = 40

Front

What does 'greater than' mean in mathematical terms?

Back

It indicates that a value is larger than another value.

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: 3x + 5 = 2x + 10

Back

x = 5

Front

What is the definition of a variable in an equation?

Back

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