Multistep Equations (algebra)

Front

What is a multistep equation?

Back

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

Front

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

Back

Distribute the 2 to both terms inside the parentheses: 4 = 2x + 6.

Front

Solve: 4 = 2(x + 3)

Back

x = -1.

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.

Front

Solve: 5x - 14 + (-8x) = 4

Back

x = -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

Solve: 5h - 6 - h + 10 = 12

Back

h = 2.

Front

What is the order of operations used in solving equations?

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.

Front

Solve: 2(3x - 5) - 4x + 7 = 3(x + 1) - 10

Back

x = 4.