Multi-Step Equations, Part 1

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

How do you combine like terms in an equation?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable. For example, in the equation 2x + 3x, you combine them to get 5x.

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

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to get the variable alone on one side of the equation, making it easier to solve for its value.

Front

Solve for x: 4x + 10 = -26

Back

x = -9

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

The first step is to apply the distributive property to simplify the equation.

Front

Solve for w: 12 + 5w - 4w = 15

Back

w = 3

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10

Front

What is a solution in the context of an equation?

Back

A solution is a value that, when substituted for the variable, makes the equation true.