Solve MultiStep Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean when an equation has 'no solution'?

Back

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

Front

What does it mean when an equation has 'all real numbers' as a solution?

Back

It means that any real number can be a solution to the equation.

Front

How do you simplify the expression 5x + 3 - 2x + 1?

Back

Combine like terms: 5x - 2x + 3 + 1 = 3x + 4.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

What is the second step in solving the equation -3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

How do you solve the equation 2(3x + 7) = x + 10 + 5x + 4?

Back

First, distribute the 2, then combine like terms and isolate x.

Front

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

Back

To simplify the equation and make it easier to solve.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 2x + 3 = 2x + 3?

Back

All real numbers, since both sides are identical.