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Worksheet: Applications of Evaluating Simple Algebraic Expressions

Q1:

Starting from his school, Jacob cycled 10 miles, stopped at his friend’s house, and later continued cycling in the same direction as before. The equation 𝑑 = π‘š + 1 0 shows the relationship between the number of miles π‘š he cycled after leaving his friend’s house and the distance 𝑑 he was from his school. If he ended up 32 miles from his school, how far is he from his friends house?

Q2:

One measure of distance is rate multiplied by time, 𝑑 = π‘Ÿ 𝑑 . Find the distance Olivia travels if she is moving at a rate of 60 mph for 6.75 h.

Q3:

The total surface area, , of a rectangular prism is given by . Find the value of when , , and .

  • A720 area units
  • B64 area units
  • C59 area units
  • D118 area units

Q4:

Use the formula 𝐴 = 𝑏 β„Ž to find the area of a parallelogram whose base, 𝑏 , is 2 1 2 and height, β„Ž , is 4 5 .

  • A 1 2 7
  • B 2 2 5
  • C 3 1 8
  • D2
  • E 1 2 3

Q5:

Given that the area of a trapezoid is , find the value of when , , and .

  • A cm2
  • B cm2
  • C 32 cm2
  • D 8 cm2

Q6:

Chloe was given a $50 bill to buy 2 yogurt cups, each for 𝑝 dollars. She had 5 0 βˆ’ 2 𝑝 remaining. Calculate the amount remaining if each yogurt cup cost $3.

Q7:

Last year, a family’s total income was $46 000, while their total expenses were $48 100. Use the expression 𝐼 βˆ’ 𝐸 1 2 , where 𝐼 represents total income and 𝐸 represents total expenses, to find the average difference between the family’s income and its expenses each month.

Q8:

The speed , in feet per second, of an ocean wave at depth , in feet, is given by the formula . Determine, to the nearest tenth, the speed of an ocean wave at a depth of 11 feet.