Solving Multi-step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to solve, involving operations such as addition, subtraction, multiplication, and division.

Front

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

Back

Distribute the 3 to both terms inside the parentheses: 2x + 15x - 21 = 47.

Front

How do you isolate the variable in the equation 38 + 7k = 8(k + 4)?

Back

First, distribute the 8: 38 + 7k = 8k + 32, then subtract 7k from both sides.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

The solution is b = 1.

Front

What is the purpose of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the first step to solve the equation x - 5 = 7 - 2x?

Back

Add 2x to both sides of the equation.

Front

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

Back

The solution is x = -9.

Front

What does it mean to 'isolate the variable' in an equation?

Back

Isolating the 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, allowing you to multiply a single term by two or more terms inside a set of parentheses.