Solve 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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

Solve the equation: 2(3x − 4) = 3x + 1

Back

x = 3

Front

Solve the equation: −4k + 2(5k − 6) = −3k − 39

Back

k = -3

Front

Solve the equation: −18 − 6k = 6(1 + 3k)

Back

k = -1

Front

Solve the equation: 5 + 4x − 7 = 4x − 2 − x

Back

x = 0

Front

Solve the equation: −3(4x + 3) + 4(6x + 1) = 43

Back

x = 4

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression, such as in 4x, where 4 is the coefficient.