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, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and perform operations to reduce it to its simplest form.

Front

What is a constant in mathematics?

Back

A constant is a fixed value that does not change, represented by a number.

Front

How do you solve the equation 6(-6 - 5v) = 84?

Back

First, distribute 6 to both terms inside the parentheses, then isolate v to find v = -4.

Front

What is the first step in solving the equation -2(x - 3) + 4 = 24?

Back

The first step is to distribute -2 to both terms inside the parentheses.

Front

What is the solution to the equation 3(x - 6) + 2x = 22?

Back

The solution is x = 8 after combining like terms and isolating x.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

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 parentheses.

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.