Solving Equations - Multi Step

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 5x + 2x, you combine them to get 7x.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

The first step is to combine like terms. In this case, combine 5x and 2x to get 7x - 4 = 3.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, you perform inverse operations to get the variable by itself on one side of the equation. For example, in 7x - 4 = 3, you would add 4 to both sides.

Front

What is the solution to the equation 10 = 4x - 2?

Back

The solution is x = 3.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

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 two or more terms inside a set of parentheses.

Front

How do you solve the equation 4x + 10 = -26?

Back

First, subtract 10 from both sides to get 4x = -36. Then, divide both sides by 4 to find x = -9.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 3x, 3 is the coefficient.