Multi Step Equations - Variable On Both Sides

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation to get the variable by itself on one side.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears in expressions on both the left and right sides, requiring manipulation to solve for the variable.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms containing the variable x on one side of the equation and constant terms on the other side.

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

What is the solution to the equation 10x + 9 = 4x - 9?

Back

The solution is x = -3.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming that it is correct.

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 handle negative numbers when solving equations?

Back

When solving equations with negative numbers, apply the same rules of arithmetic, ensuring to keep track of the signs during addition, subtraction, multiplication, and division.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation are equivalent, meaning they have the same value.