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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation -2x + 4 = 5 - 3x?

Back

The first step is to add 3x to both sides to combine the x terms.

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, allowing you to find its value.

Front

Solve for x: 3x + 2(4x - 4) = 3

Back

x = 1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is the solution to the equation 10 + 2x = 16?

Back

x = 3

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1