Multi-Step Equations Practice

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 does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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 combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What does it mean if an equation has no solutions?

Back

An equation has no solutions if there is no value for the variable that makes the equation true.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable makes the equation true.

Front

What is the first step in solving the equation 7(4x + 3) + 5 = -58?

Back

The first step is to apply the distributive property: 7 * 4x + 7 * 3 + 5 = -58.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3x - 8 = 3(x - 4) + 1?

Back

The solution is no solutions, as the equation simplifies to a false statement.

Front

What is the solution to the equation 2(3x + 7) = x + 10 + 5x + 4?

Back

The solution is all real numbers, indicating that the equation is always true.