Basic Algebra - 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 is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9

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 two or more terms inside a set of parentheses.

Front

Solve for a: 33 = 4a - 7

Back

a = 10

Front

What is the solution to the equation 5p - 14 = 8p + 4?

Back

p = -6

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.