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.

Front

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

Back

The solution is x = -5.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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 solution to the equation 3c + 5 = 23?

Back

The solution is c = 6.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

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 by itself.