Solving multi-step equations including parentheses

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 distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, -3(2c - 5) becomes -6c + 15.

Front

What is the first step in solving the equation -15 + 3x - 7x = -43?

Back

Combine like terms: 3x - 7x simplifies to -4x, resulting in -15 - 4x = -43.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to get the variable by itself on one side of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 5(2x + 3) = 35?

Back

The solution is x = 2.

Front

What is the equivalent expression for 8(5f - 7) + 3f?

Back

The equivalent expression is 43f - 56.

Front

How do you simplify the expression 4(x + 3) - 5?

Back

Distributing gives 4x + 12, then subtracting 5 results in 4x + 7.

Front

What is the purpose of parentheses in equations?

Back

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

Front

What is the order of operations?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.