Worksheet: Evaluating Algebraic Expressions

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

Q1:

If ๐‘š=21.4, ๐‘=23.4, and ๐‘›=9, evaluate ๐‘š+๐‘›+๐‘๐‘ to the nearest tenth.

Q2:

Evaluate 14+๐‘ฆ๏Šจ if ๐‘ฆ=6.

Q3:

Given that ๐‘›=4, determine the value of ๐‘›โˆ’8๏Šฉ.

Q4:

Evaluate 9๐‘โˆ’๐‘›+3 for ๐‘›=2 and ๐‘=5.

Q5:

Evaluate 7๐‘ž๐‘ž+2(๐‘+5) for ๐‘=3 and ๐‘ž=12.

Q6:

Evaluate ๐‘(๐‘›โˆ’๐‘ก) for ๐‘›=2, ๐‘=6, and ๐‘ก=1.

Q7:

Evaluate ๐‘๐‘›๐‘ก+11๏Šจ for ๐‘›=4, ๐‘=5, and ๐‘ก=5.

Q8:

Evaluate 5+๐‘ฅ๏Šจ if ๐‘ฅ=3.

Q9:

Given that ๐‘ฅ=6 and ๐‘ฆ=1, find the value of 4๐‘ฅ+3๐‘ฆ.

  • A22
  • B27
  • C25
  • D9

Q10:

If 7๐‘ฆ=35, what is the value of 8๐‘ฆ?

Q11:

Evaluate 10๐‘š+5๐‘˜, given that ๐‘š=9 and ๐‘˜=3.

Q12:

Given that ๐‘Ž=2 and ๐‘=5, evaluate the expression ๐‘Ž๐‘+8ร—9.

Q13:

Evaluate 4๐‘ฆรท(2๐‘ฅ+2), given that ๐‘ฅ=3 and ๐‘ฆ=20.

Q14:

Find the value of ๐‘ฅ๐‘ฆโˆ’๐‘ฆ๐‘ง, given ๐‘ฅ=14, ๐‘ฆ=12, and ๐‘ง=4.

  • A โˆ’ 3 2
  • B 3 8
  • C0
  • D 1 2

Q15:

Given that ๐‘ฅ=3 and ๐‘ฆ=1, evaluate 2๐‘ฅ+5๐‘ฆรท4๐‘ฅ๐‘ฆ.

  • A 1 1 1 2
  • B 4 3
  • C12
  • D 7 7 1 2

Q16:

Evaluate 9๐‘โ‹…6๏Šจ, given that ๐‘=10.

Q17:

A square has a side length of (5๐‘Ž+๐‘) cm. Write an expression for its area and evaluate its area when ๐‘Ž=1 and ๐‘=6.

  • A ( 5 ๐‘Ž + ๐‘ ) ๏Šจ cm2, 121 cm2
  • B ( 5 ๐‘Ž + ๐‘ ) ๏Šจ cm2, 22 cm2
  • C 4 ( 5 ๐‘Ž + ๐‘ ) cm2, 121 cm2
  • D ( 5 ๐‘Ž + ๐‘ ) ๏Šจ cm2, 11 cm2

Q18:

Evaluate 6(๐‘Ž+๐‘โˆ’๐‘)๏Šจ given that ๐‘Ž=2, ๐‘=7, and ๐‘=6.

Q19:

Evaluate ๐‘š๐‘โˆ’๐‘› if ๐‘š=56, ๐‘=โˆ’8, and ๐‘›=โˆ’4.

Q20:

Given that โˆš๐‘š=15, find ๐‘š+4.

Q21:

Evaluate 7๐‘’๐‘“(โˆ’๐‘”โ„Ž) for ๐‘’=113, ๐‘“=โˆ’112, โ„Ž=212, and ๐‘”=โˆ’112.

  • A 7 1 2
  • B โˆ’ 1 1 1 4
  • C โˆ’ 7 1 2
  • D 5 2 1 2
  • E โˆ’ 5 2 1 2

Q22:

Evaluate ๐‘Ž๐‘โˆ’๐‘๏Šจ for ๐‘Ž=โˆ’8, ๐‘=โˆ’7, and ๐‘=โˆ’9.

Q23:

Evaluate ๐‘‘โˆ’๐‘”โˆ’๐‘“ if ๐‘‘=15, ๐‘“=โˆ’15, and ๐‘”=17.

Q24:

Evaluate 6๐‘Ž+๐‘๐‘ if ๐‘Ž=โˆ’8, ๐‘=โˆ’6, and ๐‘=9.

Q25:

Evaluate the expression ๐‘’โ„Ž๏Šจ๏Šจ if ๐‘’=โˆ’125 and โ„Ž=123.

  • A 2 1 3
  • B โˆ’ 1 4 1 5
  • C 1 4 1 5
  • D โˆ’ 5 4 9
  • E 5 4 9

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