Solving 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 combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the first step in solving the equation 1 = 1 + 6b + 2b?

Back

The first step is to combine like terms on the right side: 6b + 2b = 8b, so the equation becomes 1 = 1 + 8b.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

The solution is x = 4.

Front

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

Back

Isolating the variable means manipulating the equation to get the variable alone on one side of the equation.

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 each term inside a parenthesis.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

First, apply the distributive property: 8v - 4v - 32 = 8, then combine like terms to get 4v - 32 = 8, and finally solve for v to find v = 10.

Front

What is the solution to the equation 6x + 3(-x + 11) = 3?

Back

The solution is x = -10.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any possible operations.