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

Q5:

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

Q6:

Evaluate 5+๐‘ฅ๏Šจ if ๐‘ฅ=3.

Q7:

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

Q8:

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

  • Aโˆ’32
  • B38
  • C0
  • D12

Q9:

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

  • A1112
  • B43
  • C12
  • D7712

Q10:

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

Q11:

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(5๐‘Ž+๐‘)๏Šจ cm2, 121 cm2
  • B(5๐‘Ž+๐‘)๏Šจ cm2, 22 cm2
  • C4(5๐‘Ž+๐‘) cm2, 121 cm2
  • D(5๐‘Ž+๐‘)๏Šจ cm2, 11 cm2

Q12:

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

Q13:

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

Q14:

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

  • A712
  • Bโˆ’1114
  • Cโˆ’712
  • D5212
  • Eโˆ’5212

Q15:

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

Q16:

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

Q17:

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

Q18:

Evaluate ๐‘ฅ๐‘ฆ in the simplest form if ๐‘ฅ=13 and ๐‘ฆ=67.

  • A718
  • B1718
  • C1421
  • D27
  • E127

Q19:

If ๐‘ฅ=23, ๐‘ฆ=14, and ๐‘ง=12, find ๐‘ฅ๐‘ฆ๐‘ง in its simplest form.

  • A16
  • B1512
  • C18
  • D13
  • E112

Q20:

Given that ๐‘ฅ=2 and ๐‘ฆ=โˆš5, find the value of ๐‘ฅ๐‘ฆ๏Šจ๏Šฑ๏Šช.

  • A20
  • B4625
  • C254
  • D100
  • E425

Q21:

If ๐‘ฅ=313, ๐‘ฆ=58 and, ๐‘ง=6, find ๐‘งรท(๐‘ฅ๐‘ฆ).

  • A132
  • B22225
  • C118
  • D89
  • E2112

Q22:

Evaluate 9๐‘ฅ if ๐‘ฅ=15.

  • A915
  • B145
  • C115
  • D145
  • E45

Q23:

Given that ๐‘‘=35 and ๐‘˜=2, evaluate ๐‘˜ร—๐‘‘๏Šจ.

Q24:

Using the order of operations, evaluate 12๐‘ฅ+14๐‘ฆ if ๐‘ฅ=38 and ๐‘ฆ=512.

  • A724
  • B532
  • C548
  • D316

Q25:

Which of the following expressions will be equal to 13 when ๐‘ฅ=4 and ๐‘ฆ=โˆ’2?

  • A5๐‘ฅ+4๐‘ฆ+1
  • B3๐‘ฅโˆ’2๐‘ฆ+5
  • C5๐‘ฅ+3๐‘ฆโˆ’9
  • D6๐‘ฅโˆ’5๐‘ฆโˆ’1

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