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

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

Back

The first step is to distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

How do you isolate the variable in the equation 5y + 34 = -2(-7y + 1)?

Back

You first simplify the right side to get 5y + 34 = 14y - 2, then move all terms involving y to one side and constant terms to the other.

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 4(1-x) + 3x = -2(x+1)?

Back

The solution is x = -6.

Front

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

Back

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

Front

What is the solution to the equation 4(x + 2) = 16?

Back

The solution is x = 2.

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 is the solution to the equation 5x + 15 = 10x - 40?

Back

The solution is x = 11.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.