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, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, 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 2(x + 3) = 8?

Back

Distribute the 2 to both terms inside the parentheses: 2x + 6 = 8.

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 the equation: 2(x + 3) = 8

Back

x = 1.

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

How do you check your solution to an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

x = 4.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.

Front

Solve the equation: -124 = 4(1 + 8k)

Back

k = -4.