Simplifying like terms questions with answers

Questions

1. Question 1x terms and numbers

   Simplify $2x + 2 - 4x + 1$.

   Show the worked solution

   1. Step 1: Group the like terms (each term keeps the sign in front of it)$= 2x - 4x + 2 + 1$
   2. Step 2: Add the numbers in front of each kind of term$= -2x + 3$
2. Question 2Two letters

   Simplify $x + 6y + 3x - y$.

   Show the worked solution

   1. Step 1: Group the like terms (each term keeps the sign in front of it)$= x + 3x + 6y - y$
   2. Step 2: Add the numbers in front of each kind of term$= 4x + 5y$
3. Question 3x², xy and x terms

   Simplify $2x^{2} - 3xy + 2x^{2} + yx$.

   Show the worked solution

   1. Step 1: Group the like terms (each term keeps the sign in front of it)$= 2x^{2} + 2x^{2} - 3xy + yx$
   2. Step 2: Add the numbers in front of each kind of term$= 4x^{2} - 2xy$
4. Question 4Negatives throughout

   Simplify $-2x - 7y + 4 + 8x + 6y - 6$.

   Show the worked solution

   1. Step 1: Group the like terms (each term keeps the sign in front of it)$= -2x + 8x - 7y + 6y + 4 - 6$
   2. Step 2: Add the numbers in front of each kind of term$= 6x - y - 2$
5. Question 5Terms, coefficients and the constant term

   Write down the constant term in the expression $6x^{2} + 1 - 9x - 5y$.

   Show the worked solution

   1. Step 1: The constant term is the term with no letter, with the sign in front of itThe term with no letter is $1$.
   2. Step 2: Write it down, with its sign$\text{constant term} =$ $1$