Which of the equations shown below would be an example of a linear equation with a single variable? Remember that a linear equation with a single variable will not include any variables raised to a power or any roots of variables. These equations will also not include more than one variable, although the same variable can appear more than once. Check all that apply.

Which of the following equations would be equivalent to  $$4x+3=8\left(x+4\right)$$  after the Distributive Property has been applied?

Which of the following equations would be equal to  $$5\left(4-y\right)=45-6y$$ after the Distributive Property has been applied? 

Which of the following equations would be equivalent to $$4x+6+8x=2x+18$$  after like terms are combined? Remember you can only combine like terms on one side of the equals sign.

Which of the following equations would be equivalent to $$9y-14=5y-12-6$$  after like terms are combined? Remember you can only combine like terms on one side of the equals sign, and anything being subtracted must be treated as a negative value.

Which of the following equations would be equal to $$12x+6=9x+15$$ after simplifying by using properties of equality?

Which of the following equations would be equal to $$9x-30=4x+20$$ after simplifying by using properties of equality? Remember that anything being subtracted must be added to both sides in order to be canceled.

Solve the equation $$3y=27$$ by isolating the variable.

Solve the equation $$\frac{z}{-4}=12$$  by isolating the variable.

Step 1: Simplify the equation $$4\left(x+6\right)+2x=12x-18$$ by applying the Distributive Property. We are only performing one step at a time.

Step 2: Simplify the equation $$4x+24+2x=12x-18$$ by combining like terms. We are only performing one step at a time. 

Step 3: Simplify the equation $$6x+24=12x-18$$ by using properties of equality. Remember to cancel terms by either adding or subtracting the same thing from both sides. 

Step 4: Solve the equation $$42=6x$$ by isolating the variable. Remember to perform the opposite of what is being done to the variable on both sides.