Lesson Worksheet: Evaluating Expressions: Highest Common Factor Mathematics

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In this worksheet, we will practice evaluating algebraic expressions by factoring out the highest common factor.

Q1:

If 3𝑝+2𝑞=4 and 6𝑎−5𝑏=10, what is the value of 20(𝑞+𝑏)+6(5𝑝−4𝑎)?

Q2:

Given that 𝑎𝑏−4𝑐+2𝑎=12, what is the value of 12𝑐−3𝑎𝑏−6𝑎?

Q3:

If 5𝑑−3𝑓=−3 and 2𝑝+3𝑑=−4, what is the value of 12𝑑+6𝑓−10𝑑+8𝑝?

Q4:

Given that 3𝑚−4𝑛=−2, what is the value of −6𝑚+8𝑛?

Q5:

Given that 𝑎+2𝑏=7, what is the value of 3𝑎+6𝑏?

Q6:

If 3𝑐−2𝑏=5 and 2𝑎+𝑑=−3, what is the value of 6𝑎+3𝑑−3𝑐+2𝑏?

Q7:

Evaluate 2𝑥𝑦+2𝑥𝑦, given that 𝑥𝑦=−2 and 𝑥+𝑦=6.

Q8:

Given that 2𝑥+2𝑦=−8, evaluate (𝑥+𝑦).

Q9:

Evaluate 2𝑥+4𝑥6𝑥𝑦+12𝑦 given that 𝑥𝑦=−6.

Q10:

Evaluate 12𝑥+6𝑦+18𝑧 given that −𝑥−3𝑦−9𝑧=8.

  • A−124
  • B−116
  • C18
  • D−18
  • E116

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