Introduction to Algebraic Notation

Name: _______________________________
Date: _______________________________

📝 Remember:

  • Write the number (coefficient) before the letter: 3 × a = 3a
  • Don't write the multiplication sign between a number and letter: 4b not 4 × b
  • When the coefficient is 1, we don't write it: x not 1x

Part A: Simplify these expressions

Write each expression using correct algebraic notation.

1. 5 × y = __________
2. a × 7 = __________
3. 1 × m = __________
4. 9 × p = __________
5. x × 6 = __________
6. 8 × n = __________
7. b × 3 = __________
8. 1 × k = __________

Part B: Write in algebraic form

Write each statement using algebraic notation.

1. Four multiplied by t = __________
2. The product of 6 and h = __________
3. Seven times c = __________
4. d multiplied by 2 = __________
5. Twelve lots of w = __________
6. g times 5 = __________

Part C: True or False?

Circle whether each statement is correct.

1. 3 × x can be written as 3x TRUE / FALSE
2. m × 5 should be written as m5 TRUE / FALSE
3. 1 × y is the same as y TRUE / FALSE
4. a × 4 = 4a TRUE / FALSE
5. We should write 8k as k8 TRUE / FALSE

Part D: Challenge

Write these more complex expressions using correct algebraic notation.

1. 2 × a + 3 × a = __________
2. 5 × x - 1 × x = __________
3. 4 × b + 6 = __________
4. 7 × m - 2 = __________