Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

x = 1

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

Solve: -2(x-3)+4 = 24

Back

x = -7

Front

What is a variable?

Back

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

Front

Solve: 6 (-6 -5v) = 84

Back

v = -4

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

Solve: 5x - 3 = 2x + 12

Back

x = 5

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 two or more terms inside a set of parentheses.