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 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve for m: 13 = 5m - 2

Back

m = 3

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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

Solve for w: 7w - 3(4w + 8) = 11

Back

w = -7

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4

Front

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

Back

Combine like terms to simplify the equation.

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

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4