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

Solve: 8v - 4(v + 8) = 8

Back

v = 10

Front

Solve: 21 = 3(3n - 5)

Back

n = 4

Front

Solve: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is a constant in mathematics?

Back

A constant is a fixed value that does not change, represented by a number without a variable.

Front

What is a variable?

Back

A variable is a letter or symbol that represents an unknown number or value in an equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms or distributing.

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 parenthesis.