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 4x + 10 = -26?

Back

Subtract 10 from both sides to isolate the term with the variable: 4x = -26 - 10.

Front

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

Back

x = -9.

Front

How do you solve the equation 3(x - 1) = 2x + 9?

Back

First, distribute 3: 3x - 3 = 2x + 9. Then, subtract 2x from both sides: x - 3 = 9. Finally, add 3 to both sides: x = 12.

Front

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

Back

x = 9.

Front

What is the first step to solve the equation c + 4 = -3c - 20?

Back

Subtract c from both sides: 4 = -4c - 20.

Front

What is the solution to the equation c + 4 = -3c - 20?

Back

c = -6.

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 by itself, making it easier to solve.

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 each term inside a set of parentheses.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.