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 3(x-5)-x=1?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3*x - 15 - x = 1.

Front

How do you isolate the variable in the equation -72 = 6(n + -2)?

Back

To isolate the variable, first divide both sides by 6: -12 = n - 2, then add 2 to both sides: n = -10.

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, simplifying the equation.

Front

What is the solution to the equation -4x + 1 = 21?

Back

The solution is x = -5. First, subtract 1 from both sides to get -4x = 20, then divide by -4.

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 check if your solution to an equation is correct?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3c + 5 = 23?

Back

The solution is c = 6. First, subtract 5 from both sides to get 3c = 18, then divide by 3.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.