Multi-Step Equations W/ Variables on One Side

Front

What is a multi-step equation?

Back

A multi-step equation is 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 combine like terms in an equation?

Back

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

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation to 6x - 3 = 27.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to solve for its value by getting it alone on one side of the equation.

Front

What operation would you perform first in the equation -3y + 10 = 4?

Back

Subtract 10 from both sides to begin isolating the variable.

Front

What does it mean to 'distribute' in an equation?

Back

Distributing means to multiply a term outside of parentheses by each term inside the parentheses.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

First, distribute -4 to both terms inside the parentheses, then combine like terms and isolate v.

Front

What is the solution to the equation 5b - 6 = 24?

Back

The solution is b = 6, found by adding 6 to both sides and then dividing by 5.

Front

What is the final step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3, then isolate x by adding 4 and dividing by 7.

Front

What does it mean to 'isolate' a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side of the equation.