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

How do you isolate a variable in an equation?

Back

By performing 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 14p - 8 = 22 + 20p?

Back

Combine like terms by moving all terms involving 'p' to one side and constant terms to the other.

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5.

Front

What does it mean to combine like terms?

Back

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

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: -166 = 7x + 3(6x + 3)

Back

x = -7.

Front

What is the goal of solving multi-step equations?

Back

To find the value of the variable that makes the equation true.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable, such as the '5' in '5x'.