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

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable.

Front

How do you solve the equation 3(x - 2) = 12?

Back

First, divide both sides by 3 to get x - 2 = 4, then add 2 to both sides to find x = 6.

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, making it easier to solve.

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

Solve for x: 5x - 10 = 20

Back

x = 6.

Front

What is the solution to the equation 4(x + 3) = 28?

Back

x = 4.

Front

Translate into an expression: 3 more than a number.

Back

x + 3.

Front

What is the solution to the equation 2(x - 5) + 3 = 9?

Back

x = 10.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.