Worksheet: Writing and Evaluating Multiplication Expressions

In this worksheet, we will practice writing and evaluating multiplication algebraic expressions.

Q1:

Evaluate 𝑚 × 5 if 𝑚 = 7 .

Q2:

Write an expression for double a number 𝑑 .

  • A 2 𝑑 2
  • B 2 + 𝑑
  • C 𝑑 2
  • D 2 𝑑
  • E 2 + 2 𝑑

Q3:

Write an expression for the product of 5 and 𝑑 .

  • A 5 𝑑 5
  • B 5 + 𝑑
  • C 𝑑 5
  • D 5 𝑑
  • E 5 + 5 𝑑

Q4:

Write an expression for triple a number 𝑑 .

  • A 3 𝑑 3
  • B 3 + 𝑑
  • C 𝑑 3
  • D 3 𝑑
  • E 3 + 3 𝑑

Q5:

Write an expression for a number 𝑦 multiplied by 12.

  • A 𝑦 + 1 2
  • B 1 2 𝑦
  • C 1 2 1 2 𝑦
  • D 1 2 𝑦
  • E 1 2 𝑦 + 1 2

Q6:

Write the following phrase as an algebraic expression: thirty-seven times as many oranges.

  • A 3 7 𝑥
  • B 𝑥 3 7
  • C 𝑥 + 3 7
  • D 3 7 𝑥
  • E 𝑥 3 7

Q7:

Using 𝑥 to represent the cost of a notebook and 𝑦 to represent the cost of a folder, write an expression for the cost of 3 notebooks and 2 folders. Then, find the total cost, given that the notebooks are $1.69 each and the folders are $0.59 each.

  • A 3 𝑥 + 2 𝑦 , $5.15
  • B 2 𝑥 + 3 𝑦 , $5.15
  • C 6 𝑥 𝑦 , $5.98
  • D 3 𝑥 + 2 𝑦 , $6.25
  • E 5 𝑥 𝑦 , $4.99

Q8:

Given that a day consists of 24 hours, write an expression that relates the number of days in terms of hours, and then determine how many hours there are in 3 days.

  • A 2 4 𝑛 , 144 hours
  • B 2 4 + 𝑛 , 27 hours
  • C 2 4 + 𝑛 , 21 hours
  • D 2 4 𝑛 , 72 hours
  • E 2 4 ( 𝑛 + 1 ) , 96 hours

Q9:

Consider the shown trapezoid.

Write an expanded expression for its area. Simplify the expression, if possible.

  • A 𝑎 + 5 𝑎 2
  • B 𝑎 + 4 2
  • C 6 𝑎 + 4
  • D 𝑎 5 𝑎 + 4 2
  • E 𝑎 + 5 𝑎 4 2

The given trapezoid is the cross section of a prism of length 2 𝑎 5 . Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

  • A 2 𝑎 1 5 𝑎 + 3 3 𝑎 2 0 3 2
  • B 5 𝑎 1 3 𝑎 4 2
  • C 2 𝑎 1 3 𝑎 4 3
  • D 2 𝑎 + 5 𝑎 1 3 𝑎 4 3 2
  • E 2 𝑎 + 5 𝑎 1 3 𝑎 3 2

Q10:

Consider the shown trapezoid.

Write an expanded expression for its area. Simplify the expression, if possible.

  • A 𝑎 + 5 𝑎 2
  • B 𝑎 + 4 2
  • C 6 𝑎 + 4
  • D 𝑎 5 𝑎 + 4 2
  • E 𝑎 + 5 𝑎 4 2

The given trapezoid is the cross section of the given prism of length 2 𝑎 5 .

Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

  • A 2 𝑎 1 5 𝑎 + 3 3 𝑎 2 0 3 2
  • B 5 𝑎 1 3 𝑎 4 2
  • C 2 𝑎 1 3 𝑎 4 3
  • D 2 𝑎 + 5 𝑎 1 3 𝑎 4 3 2
  • E 2 𝑎 + 5 𝑎 1 3 𝑎 3 2

Q11:

What is the area of a square of perimeter 7 𝑥 ?

  • A 4 9 𝑥 2
  • B 4 9 1 6 𝑥
  • C 4 9 4 𝑥
  • D 4 9 1 6 𝑥 2
  • E49

Q12:

Evaluate 2 × 𝑚 if 𝑚 = 8 .

Q13:

Evaluate 4 𝑚 if 𝑚 = 2 .

Q14:

Evaluate 7 × 𝑚 if 𝑚 = 4 .

Q15:

Evaluate 7 𝑚 if 𝑚 = 6 .

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