Worksheet: Evaluating Multiplication and Division Expressions

In this worksheet, we will practice evaluating algebraic expressions at a given value of the variable(s), especially multiplication and division expressions.

Q1:

If ๐‘Ž = 3 , and ๐‘ = 8 , evaluate ๐‘Ž โ‹… ๐‘ .

Q2:

Evaluate 1 0 ๐‘Ž รท 2 , given that ๐‘Ž = 4 .

Q3:

Given that ๐‘Ž = โˆš 2 and ๐‘ = โˆš 6 , find the value of ๐‘Ž ๐‘ 2 2 .

  • A 1 9
  • B 3
  • C โˆš 2 3 โˆš 6
  • D 1 3

Q4:

Given that the expression 5 0 0 ๐‘ก can be used to determine the distance, traveled by a Boeing 707 aircraft, where the variable ๐‘ก represents the time in hours , determine the distance the aircraft can travel in 10 hours.

Q5:

Given that 9 ๐‘ฅ + 4 ๐‘ฆ = 8 and ๐‘š ( 3 6 ๐‘ฅ + 1 6 ๐‘ฆ ) + 4 ๐‘› ( 9 ๐‘ฅ + 4 ๐‘ฆ ) = 6 4 , what is the value of ๐‘š + ๐‘› ?

Q6:

A pizza delivery company offers 2 medium pizzas and a 1-liter bottle of soda for . They offer 2 sides and a dessert for .

Amir ordered 8 medium pizzas, 4 sides, 4 liters of soda, and 2 desserts. What is the cost of his order?

Q7:

Find ๐ด ๐ต given that ๐ด = 3 ๐‘Ž + 5 2 and ๐ต = 2 ๐‘Ž + 6 2 .

  • A 6 ๐‘Ž + 2 6 ๐‘Ž + 3 0 4 2
  • B 6 ๐‘Ž โˆ’ 2 8 ๐‘Ž + 3 0 4 2
  • C 6 ๐‘Ž โˆ’ 2 8 ๐‘Ž โˆ’ 3 0 4 2
  • D 6 ๐‘Ž + 2 8 ๐‘Ž + 3 0 4 2
  • E 6 ๐‘Ž + 2 8 ๐‘Ž โˆ’ 3 0 4 2

Q8:

Given that the multiplicative inverse of ๐‘ฅ โˆ’ ๐‘ ๐‘ฅ โˆ’ 4 is ๐‘ฅ โˆ’ 4 ๐‘ฅ โˆ’ 2 , what is the value of ๐‘ ?

Q9:

Fill in the blank: 8 6 ๐‘ฅ ๐‘ฆ = โˆ’ 2 ๐‘ฅ ๐‘ฆ ร— ร— ๐‘ฅ ๐‘ฆ ๏Šง ๏Šจ ๏Šง ๏Šญ ๏Šฉ ๏Šซ ๏Šซ .

  • A โˆ’ 4 3 ๐‘ฅ ๐‘ฆ ๏Šง ๏Šง ๏Šฏ
  • B 4 3 ๐‘ฅ ๐‘ฆ ๏Šฌ ๏Šฏ
  • C โˆ’ 4 3 ๐‘ฅ ๐‘ฆ ๏Šฌ ๏Šง ๏Šช
  • D โˆ’ 4 3 ๐‘ฅ ๐‘ฆ ๏Šฌ ๏Šฏ
  • E 4 3 ๐‘ฅ ๐‘ฆ ๏Šง ๏Šง ๏Šง ๏Šช

Q10:

If ๐‘Ž = 3 , and ๐‘ = 9 , evaluate ๐‘Ž โ‹… ๐‘ .

Q11:

Evaluate 1 8 รท 2 ๐‘Ž , given that ๐‘Ž = 3 .

Q12:

Evaluate 3 0 รท 2 ๐‘Ž , given that ๐‘Ž = 3 .

Q13:

Evaluate 2 4 รท 2 ๐‘Ž , given that ๐‘Ž = 4 .

Q14:

Evaluate 2 4 รท 3 ๐‘Ž , given that ๐‘Ž = 2 .

Q15:

Evaluate 1 8 รท 3 ๐‘Ž , given that ๐‘Ž = 2 .

Q16:

Evaluate 1 6 รท 4 ๐‘Ž , given that ๐‘Ž = 2 .

Q17:

Evaluate 2 4 รท 2 ๐‘Ž , given that ๐‘Ž = 2 .

Q18:

Evaluate 2 0 รท 2 ๐‘Ž , given that ๐‘Ž = 5 .

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