Worksheet: Evaluating Addition and Subtraction Expressions

In this worksheet, we will practice evaluating an algebraic expression at a specific value using addition and subtraction operations.

Q1:

Given that 𝑎 + 𝑏 = 3 2 and 𝑏 + 𝑐 = 3 5 , evaluate 𝑎 + 2 𝑏 + 𝑐 . Write the answer in its simplest form.

  • A 2 7 1 0
  • B 9 1 0
  • C 6 7
  • D 2 1 1 0

Q2:

Given that 𝑏 = 4 , evaluate 𝑏 ( 𝑥 + 6 ) + 𝑏 ( 𝑐 6 𝑥 ) 𝑏 ( 𝑐 5 𝑥 ) .

Q3:

Determine the value of the expression ( 𝑥 𝑦 ) ( 𝑥 + 𝑦 ) , given that 𝑥 𝑦 = 6 and 𝑥 + 𝑦 = 9 .

Q4:

Determine the value of the expression 𝑥 ( 𝑦 ) , given that 𝑥 𝑦 = 4 and 𝑥 + 𝑦 = 9 .

Q5:

Evaluate 𝑥 + 𝑦 , given that 𝑥 = 5 9 and 𝑦 = 1 4 .

  • A 2 9 3 7
  • B 6 1 3
  • C 3 0 3 7
  • D 2 9 3 6
  • E 3 7

Q6:

Evaluate 𝑑 + 𝑎 if 𝑎 = 2 2 9 . 6 and 𝑑 = 1 3 5 . 7 8 .

Q7:

Evaluate 𝑎 𝑑 , given that 𝑎 = 1 7 8 . 1 and 𝑑 = 8 1 . 4 5 5 .

Q8:

Evaluate 𝑎 𝑏 if 𝑎 = 1 7 and 𝑏 = 5 7 .

  • A 3 4
  • B 3 7
  • C 7 8
  • D 6 7
  • E 3 8

Q9:

Evaluate 𝑎 5 5 . 3 5 𝑏 , given that 𝑎 = 1 2 8 . 2 and 𝑏 = 1 9 . 6 9 3 .

Q10:

Given that 𝑎 = 3 3 and 𝑏 = 5 , find the value of 𝑎 𝑏 .

Q11:

If 𝑥 = 5 2 3 and 𝑦 = 1 6 , is it true that 2 𝑥 + 𝑦 = 1 ?

  • Ayes
  • Bno

Q12:

Evaluate 𝑓 + 𝑔 if 𝑓 = 3 6 , 𝑔 = 2 , and = 3 4 .

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