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 first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable: 3c = 18.

Front

How do you isolate the variable in the equation 3c = 18?

Back

Divide both sides by 3 to find c: c = 6.

Front

What is the solution to the equation -4x + 1 = 21?

Back

x = -5.

Front

What is the first step to solve the equation -4x + 1 = 21?

Back

Subtract 1 from both sides: -4x = 20.

Front

How do you solve for x in the equation 3(x-5)-x=1?

Back

First, distribute: 3x - 15 - x = 1, then combine like terms: 2x - 15 = 1, and finally add 15 to both sides and divide by 2.

Front

What is the solution to the equation 3(x-5)-x=1?

Back

x = 8.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve the equation -72 = 6(n + -2)?

Back

First, divide both sides by 6: -12 = n - 2, then add 2 to both sides to find n.

Front

What is the solution to the equation -72 = 6(n + -2)?

Back

n = -10.