Please check to see if I got these right and specifically for #2, I am not sure if I have this balanced correctly.

Write the complete balanced equations for the following:
1) Potassium metal reacts with oxygen gas to form solid potassium oxide. My answer:
4K(s)+O2(g)=4KO2(s)

2) Carbon monoxide gas and oxygen gas combine to form carbon dioxide gas. My answer: 2CO(g)+ O2(g)= CO2(g)
Is that right?

K+O2 >> K2O you balance.

second is right, but not balanced, need a 2CO2 to balance.

To determine if your balanced equations are correct, we can follow a step-by-step approach to balance them.

1) Potassium metal reacts with oxygen gas to form solid potassium oxide:
The unbalanced equation you provided is: 4K(s) + O2(g) = 4KO2(s)

To balance this equation, we need to ensure that the number of atoms for each element is equal on both sides of the equation.

Let's start with potassium (K). On the left side, we have 4 potassium atoms, and on the right side, we have 4 potassium atoms from KO2. So, the potassium is already balanced.

Next, let's consider oxygen (O). On the left side, we have 2 oxygen atoms from O2, while on the right side, we have 4 oxygen atoms from KO2. To balance the oxygen, we need to multiply the O2 molecule by 2.

The balanced equation for the reaction is:
4K(s) + 2O2(g) = 4KO2(s)

2) Carbon monoxide gas and oxygen gas combine to form carbon dioxide gas:
The unbalanced equation you provided is: 2CO(g) + O2(g) = CO2(g)

To balance this equation, we need to ensure that the number of atoms for each element is equal on both sides of the equation.

First, let's consider carbon (C). On the left side, we have 2 carbon atoms from 2CO, while on the right side, we have only 1 carbon atom from CO2. To balance the carbon, we need to multiply CO2 by 2.

The equation becomes:
2CO(g) + O2(g) = 2CO2(g)

Next, let's consider the oxygen (O). On the left side, we have 2 oxygen atoms from 2CO and 1 oxygen atom from O2, making a total of 2+1=3 oxygen atoms. On the right side, we have 2 oxygen atoms from 2CO2. To balance the oxygen, we need to multiply O2 by 3.

The final balanced equation for the reaction is:
2CO(g) + 3O2(g) = 2CO2(g)

Therefore, your equation for the reaction between carbon monoxide gas and oxygen gas to form carbon dioxide gas is not balanced correctly. It should be:
2CO(g) + 3O2(g) = 2CO2(g)