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Lesson: Evaluating Simple Algebraic Expressions

Video

08:27

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

Evaluate 1 4 + 𝑦 2 if 𝑦 = 6 .

Q2:

Evaluate 9 𝑏 β‹… 6 2 , given that 𝑏 = 1 0 .

Q3:

Given that 𝑛 = 4 , determine the value of 𝑛 βˆ’ 8 3 .

Q4:

Given that 𝑛 = 8 , determine the value of 𝑛 4 2 .

Q5:

If π‘š = 2 1 . 4 , 𝑝 = 2 3 . 4 , and 𝑛 = 9 , evaluate π‘š + 𝑛 + 𝑝 𝑝 to the nearest tenth.

Q6:

Evaluate 9 𝑝 βˆ’ 𝑛 + 3 for 𝑛 = 2 and 𝑝 = 5 .

Q7:

Evaluate 7 π‘ž π‘ž + 2 ( 𝑝 + 5 ) for 𝑝 = 3 and π‘ž = 1 2 .

Q8:

Evaluate 𝑝 ( 𝑛 βˆ’ 𝑑 ) for 𝑛 = 2 , 𝑝 = 6 , and 𝑑 = 1 .

Q9:

Evaluate 𝑝 𝑛 𝑑 + 1 1 2 for 𝑛 = 4 , 𝑝 = 5 , and 𝑑 = 5 .

Q10:

A square has a side length of ( 5 π‘Ž + 𝑏 ) cm. Write an expression for its area and evaluate its area when π‘Ž = 1 and 𝑏 = 6 .

  • A ( 5 π‘Ž + 𝑏 ) 2 cm2, 121 cm2
  • B 4 ( 5 π‘Ž + 𝑏 ) cm2, 121 cm2
  • C ( 5 π‘Ž + 𝑏 ) 2 cm2, 11 cm2
  • D ( 5 π‘Ž + 𝑏 ) 2 cm2, 22 cm2

Q11:

Evaluate 6 ( π‘Ž + 𝑏 βˆ’ 𝑐 ) 2 given that π‘Ž = 2 , 𝑏 = 7 , and 𝑐 = 6 .

Q12:

Evaluate π‘š 𝑝 βˆ’ 𝑛 if π‘š = 5 6 , 𝑝 = βˆ’ 8 , and 𝑛 = βˆ’ 4 .

Q13:

Given that √ π‘š = 1 5 , find π‘š + 4 .

Q14:

Evaluate 7 𝑒 𝑓 ( βˆ’ 𝑔 β„Ž ) for 𝑒 = 1 1 3 , 𝑓 = βˆ’ 1 1 2 , β„Ž = 2 1 2 , and 𝑔 = βˆ’ 1 1 2 .

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

Q15:

Evaluate π‘Ž 𝑏 βˆ’ 𝑐 2 for π‘Ž = βˆ’ 8 , 𝑏 = βˆ’ 7 , and 𝑐 = βˆ’ 9 .

Q16:

Evaluate 𝑑 βˆ’ 𝑔 βˆ’ 𝑓 if 𝑑 = 1 5 , 𝑓 = βˆ’ 1 5 , and 𝑔 = 1 7 .

Q17:

Evaluate 6 π‘Ž + 𝑐 𝑏 if π‘Ž = βˆ’ 8 , 𝑐 = βˆ’ 6 , and 𝑏 = 9 .

Q18:

Evaluate the expression 𝑒 β„Ž 2 2 if 𝑒 = βˆ’ 1 2 5 and β„Ž = 1 2 3 .

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

Q19:

Evaluate π‘₯ 𝑦 in the simplest form if π‘₯ = 1 3 and 𝑦 = 6 7 .

  • A 2 7
  • B 1 2 7
  • C 1 4 2 1
  • D 1 7 1 8
  • E 7 1 8

Q20:

Evaluate 4 2 βˆ’ 1 2 π‘₯ if π‘₯ = 3 .

Q21:

If π‘₯ = 2 3 , 𝑦 = 1 4 , and 𝑧 = 1 2 , find π‘₯ 𝑦 𝑧 in its simplest form.

  • A 1 1 2
  • B 1 5 1 2
  • C 1 6
  • D 1 3
  • E 1 8

Q22:

Given that π‘₯ = 2 and 𝑦 = √ 5 , find the value of π‘₯ 𝑦 2 βˆ’ 4 .

  • A 4 2 5
  • B 2 5 4
  • C 4 6 2 5
  • D 100
  • E 20

Q23:

If π‘₯ = 3 1 3 , 𝑦 = 5 8 and, 𝑧 = 6 , find 𝑧 Γ· ( π‘₯ 𝑦 ) .

  • A 2 2 2 2 5
  • B 2 1 1 2
  • C 1 1 8
  • D 1 3 2
  • E 8 9

Q24:

Evaluate 9 π‘₯ if π‘₯ = 1 5 .

  • A 1 4 5
  • B 1 4 5
  • C 9 1 5
  • D 1 1 5
  • E 4 5

Q25:

Evaluate π‘₯ 𝑦 if π‘₯ = 2 1 3 and 𝑦 = 3 1 2 .

  • A 8 1 6
  • B 5 2 5
  • C 6 4 9
  • D 4 1 6
  • E 6 1 6
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