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, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation -15 = 5a + 12 - 2a + 6?

Back

Combine like terms on the right side of the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What does it mean to combine like terms?

Back

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

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 set of parentheses.

Front

How do you solve the equation 3a + 9 + 4a = 2?

Back

Combine like terms to get 7a + 9 = 2, then isolate 'a' by subtracting 9 from both sides and dividing by 7.

Front

What is the solution to the equation -6n - 8 = 22?

Back

The solution is n = -5.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to both 'a' and -5.

Front

How do you check your solution to an equation?

Back

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

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.