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 to solve the equation 10 + 2x = 16?

Back

Subtract 10 from both sides to isolate the term with the variable: 2x = 6.

Front

How do you isolate the variable in the equation 4x + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16, then divide by 4 to find x.

Front

What does it mean to 'isolate the variable'?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the solution to the equation n/7 + 5 = -2?

Back

The solution is n = -49.

Front

How do you solve the equation x / 2 + 8 = 10?

Back

Subtract 8 from both sides to get x / 2 = 2, then multiply both sides by 2 to find x = 4.

Front

What is the solution to the equation z/2 + 1 = 9?

Back

The solution is z = 16.

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

What does 'combining like terms' mean?

Back

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

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.