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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract 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 parenthesis.

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

Translate: 'Three times a number minus 4 equals 11.'

Back

3x - 4 = 11

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable: 2x = 8.

Front

Solve for x: 5x - 7 = 18.

Back

x = 5.

Front

What is the solution to the equation 4x + 6 = 30?

Back

x = 6.

Front

If 2x - 9 = -35, what is x?

Back

x = -13.