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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

Distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 5(x - 3) + 2x = 27?

Back

x = 6.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, usually by performing inverse operations.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

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

Back

Distribute -4 to a and -5.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.