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🧩 6th grade math · Patterns & Algebra

Letters for numbers

A letter stands for a number we do not know yet. "5 more than n" is n + 5. "3 times n" is 3n. Careful with "less than": 3 less than n is n βˆ’ 3. "Twice n, plus 4" is 2n + 4.

Worked example

Which expression says twice b?
Answer: 2b
The right answer is 2b. Turn the words into numbers one piece at a time: twice b is 2b.

For grown-ups: Whole-number exponents; expressions with variables; evaluate. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.EE.A.1–2
What this practises, for teachers

Practices whole-number exponents; expressions with variables; evaluate (6.EE.A.1–2). A printable sheet with its answer key, worked answers on the page, no accounts.

β–Ά Practise it

For your class

πŸ–¨οΈ Printable sheet and key

On the board with this skill:

More printables, with answer keys, for this grade:

Try three

  1. Which expression says 9 times x?
    Show the answer and how
    Answer: 9x
    The right answer is 9x. Turn the words into numbers one piece at a time: 9 times x is 9x.
  2. Which expression says y decreased by 5?
    Show the answer and how
    Answer: y βˆ’ 5
    The right answer is y βˆ’ 5. Turn the words into numbers one piece at a time: y decreased by 5 is y βˆ’ 5.
  3. Which expression says 10 less than twice n?
    Show the answer and how
    Answer: 2n βˆ’ 10
    The right answer is 2n βˆ’ 10. Turn the words into numbers one piece at a time: 10 less than twice n is 2n βˆ’ 10. "Less than" starts from the other number.

Before and after

Learn first: Order of operations (5th)

Comes next: Equal expressions (6th)

Name: ____________________Date: ____________Score: ____ / 12

Letters for numbers (6th grade)

  1. Which expression says y decreased by 5?
  2. Which expression says 5 more than x?
  3. Which expression says 7 less than x?
  4. Which expression says 9 times m?
  5. Which expression says 4 less than b?
  6. Which expression says 10 times m?
  7. Which expression says t decreased by 11?
  8. Which expression says the difference of 4 and x?
  9. Which expression says 10 times the sum of y and 3?
  10. Which expression says the difference of 9 and t?
  11. Which expression says 11 more than twice n?
  12. Which expression says 5 less than b?

Answer key

  1. y βˆ’ 5
  2. x + 5
  3. x βˆ’ 7
  4. 9m
  5. b βˆ’ 4
  6. 10m
  7. t βˆ’ 11
  8. 4 βˆ’ x
  9. 10(y + 3)
  10. 9 βˆ’ t
  11. 2n + 11
  12. b βˆ’ 5

More 6th grade skills: all 6th grade math skills, or every grade at math skills.