Retake- 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 a multi-step equation?

Back

The first step is often distribution (if necessary) to eliminate parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constants to the other side.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve: 5b - 6 = 24

Back

b = 6

Front

Solve: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve: -124 = 4(1 + 8k)

Back

k = -4

Front

Solve: 3x + 2(4x - 4) = 3

Back

x = 1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.