Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Evaluating Simple and Rational Algebraic Expressions


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

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


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


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.


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


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.


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.


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?


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.