two-step equations with distributive property and like terms

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

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 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

Solve for x: 3x + 12 + 9x = 72

Back

x = 5

Front

Solve for b: 3b + 6b = 63

Back

b = 7

Front

Solve for x: 6x + 2x - 3 = 13

Back

x = 2

Front

What is the first step to solve the equation 22 - 5(6v - 1) = -63?

Back

First, distribute -5 to both terms inside the parentheses.

Front

Solve for v: 22 - 5(6v - 1) = -63

Back

v = 3

Front

Solve for x: 5(2x - 6) = 20

Back

x = 5

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.