Multi Step Equations with Distributive Property and Variables on Both Sides

What is the first step in solving an equation with variables on both sides?

• Multiply both sides by a random number

• Simplify both sides of the equation by combining like terms

• Ignore the variables and solve for the constant

• Add a new variable to one side of the equation

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)

• Combining x and 3x

• Subtracting 1 from both sides

• 5 - 2

Do I need to distribute, combine like terms, or both?

• Distribute

• Combine like terms

• Both

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

In the equation 3(x + 2) = 15, what is the first step to solve for x?

• Add 2 to both sides of the equation

• Divide both sides of the equation by 3

• Distribute the 3 to both terms inside the parentheses.

• Subtract 2 from both sides of the equation

How do you solve an equation with variables on both sides?

• Ignore the variable terms and solve for the constant

• Subtract the variable terms from both sides

• Divide by the variable

• Combine like terms, move variable terms to one side, and solve for the variable

When using the distributive property to solve an equation, what do you do first?

• Add the value outside the parentheses to only one term inside the parentheses

• Distribute the value outside the parentheses to each term inside the parentheses.

• Ignore the value outside the parentheses

• Combine the terms inside the parentheses

7 + y = 5(2y - 1) + 3y

4(y + 2) - 3 = -y + 4

-9 + 2(n + 3) = 4n - 7