Worksheet: Evaluating Expressions: Highest Common Factor

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

Q1:

If 3𝑝+2𝑞=4 and 6𝑎5𝑏=10, what is the value of 20(𝑞+𝑏)+6(5𝑝4𝑎)?

Q2:

Given that 𝑎𝑏4𝑐+2𝑎=12, what is the value of 12𝑐3𝑎𝑏6𝑎?

Q3:

If 5𝑑3𝑓=3 and 2𝑝+3𝑑=4, what is the value of 12𝑑+6𝑓10𝑑+8𝑝?

Q4:

Given that 3𝑚4𝑛=2, what is the value of 6𝑚+8𝑛?

Q5:

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

Q6:

If 3𝑐2𝑏=5 and 2𝑎+𝑑=3, what is the value of 6𝑎+3𝑑3𝑐+2𝑏?

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