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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step in solving the equation 10 = -8y - 50 + 3y?

Back

The first step is to combine like terms on the right side of the equation, which gives -5y - 50.

Front

How do you isolate the variable in the equation -5y - 50 = 10?

Back

Add 50 to both sides to get -5y = 60.

Front

What is the next step after isolating the variable in -5y = 60?

Back

Divide both sides by -5 to solve for y, resulting in y = -12.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve the equation -12 + 4x + 10 = 14.

Back

Combine -12 and 10 to get -2 + 4x = 14, then add 2 to both sides to get 4x = 16, and finally divide by 4 to find x = 4.

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 two or more terms inside parentheses.

Front

How do you check your solution for 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.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.