Algebraic Expression – 
a mathematical phrase that can 
contain numbers, variables (like x or y) 
and operators (like +, -, x, ÷ ). 
Like Terms – 
terms that have the same variables 
and powers. (The coefficients do not 
need to match.)
Distributive Property – 
When we use the distributive 
property, we are multiplying each 
term inside the parentheses with the 
term outside of the parentheses.
First, distribute to get rid of all 
parentheses. 
Then, combine like terms.
Simplify each expression. 
3(4n + 2) + n 
7x – (2x – 3) + 1
Simplify each expression. 
5(3x + 1) – 4x 
4r – 6(1 + r)
-2(m + 5) + 6m – 1 
4(x + 7) – 2(1 + 5x)
-5(2 – b) + 3b – 7 
2(3k + 6) – 4(1 – 2k)

R.1 simplifying expressions

  • 2.
    Algebraic Expression – a mathematical phrase that can contain numbers, variables (like x or y) and operators (like +, -, x, ÷ ). Like Terms – terms that have the same variables and powers. (The coefficients do not need to match.)
  • 3.
    Distributive Property – When we use the distributive property, we are multiplying each term inside the parentheses with the term outside of the parentheses.
  • 4.
    First, distribute toget rid of all parentheses. Then, combine like terms.
  • 5.
    Simplify each expression. 3(4n + 2) + n 7x – (2x – 3) + 1
  • 6.
    Simplify each expression. 5(3x + 1) – 4x 4r – 6(1 + r)
  • 7.
    -2(m + 5)+ 6m – 1 4(x + 7) – 2(1 + 5x)
  • 8.
    -5(2 – b)+ 3b – 7 2(3k + 6) – 4(1 – 2k)