The portal has been deactivated. Please contact your portal admin.

Lesson Worksheet: Evaluating Higher-Degree Algebraic Expressions Mathematics

In this worksheet, we will practice evaluating algebraic expressions of more than one degree with one or multiple variables and applying this in real-world problems.


Find the value of (๐‘Žโˆ’๐‘)๏Šจ given ๐‘Ž=389 and ๐‘=โˆ’79.


Given that ๐‘Ž=โˆš5 and ๐‘=โˆš2, find the value of ๐‘+๐‘Ž๐‘+๐‘Ž๏Šฉ๏Šฉ.

  • A7โˆ’โˆš10
  • Bโˆ’21
  • C7โˆ’โˆš7
  • Dโˆ’3
  • E7+โˆš10


The formula to calculate the volume of a sphere is ๐‘‰=43๐œ‹๐‘Ÿ๏Šฉ.

Make ๐‘Ÿ the subject.

  • A๐‘Ÿ=๏„ž3๐‘‰4๐œ‹๏Žข
  • B๐‘Ÿ=๏„ž3๐‘‰4๐œ‹
  • C๐‘Ÿ=3๐‘‰4๐œ‹
  • D๐‘Ÿ=๏„ž4๐œ‹๐‘‰3๏Žข
  • E๐‘Ÿ=๏„ž4๐‘‰3๐œ‹๏Žข

Find the radius of a sphere with a volume of 900 cubic centimeters. Give your answer accurate to two decimal places.


Evaluate (3๐‘ก+8)รท2๏Šจ for ๐‘ก=โˆ’2.


Given that ๐‘=213, ๐‘=โˆ’223, and ๐‘‘=412, evaluate ๏€ผโˆ’13๐‘๏ˆโ‹…3๐‘๐‘‘๏Šฉ.

  • A502227
  • Bโˆ’167681
  • C84
  • Dโˆ’502227
  • E167681


Given that ๐‘=๐‘š(1+๐‘Ÿ)๏Š, find ๐‘ when ๐‘š=7.4ร—10๏Šฉ, ๐‘Ÿ=5.8ร—10๏Šฑ๏Šฉ, and ๐‘›=6.


Given that ๐‘ฅ=12,๐‘ฆ=โˆ’23, and ๐‘ง=โˆ’13, find the numerical value of ๐‘ฅ๐‘ฆ๐‘ฆ+๐‘ง๏Šจ๏Šจ.

  • Aโˆ’25
  • Bโˆ’59
  • Cโˆ’19
  • D29
  • Eโˆ’23


Given that ๐‘ฅ=8(5+9)โˆ’6 and ๐‘ฆ=(7ร—2)โˆ’9๏Šจ๏Šจ, evaluate (๐‘ฅโˆ’๐‘ฆ)โˆ’7๏Šจ๏Šจ.


Given that ๐‘š+1๐‘š=โˆ’6, what is the value of ๐‘š+1๐‘š๏Šจ๏Šจ?


Given that ๐‘Ž=โˆ’4, ๐‘=12, and ๐‘=โˆ’5, determine the numerical value of the expression ๐‘Ž๐‘+๐‘๐‘+6๐‘Ž๐‘๐‘๏Šจ๏Šจ๏Šจ๏Šจ.

  • A2494
  • B1232
  • C14
  • D2814

This lesson includes 30 additional questions and 341 additional question variations for subscribers.

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