Solving Multi-Step 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 is the first step to solve the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

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

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

Front

What is the solution to the equation 3(x - 8) = 3x - 24?

Back

Infinite Solutions, because both sides simplify to the same expression.

Front

What is the error in adding 2x to 3x?

Back

The error is in not correctly combining like terms; it should be 5x.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the result of subtracting 5 from both sides of the equation 5x + 7 = 12?

Back

It simplifies the equation to 5x = 5.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the first step in solving the equation 7x + 19 = -2x + 55?

Back

Combine like terms to get all x terms on one side.