Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable that make the equation true.

Front

What is the first step in solving the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to begin isolating the variable.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you apply the distributive property in the equation 3x + 2(4x - 4) = 3?

Back

Distribute 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

What is the solution set for the equation 2(x + 5) = 2x + 5?

Back

No solution.