In this lesson, we will learn how to evaluate simple and rational algebraic expressions with one or multiple variables and how to apply this to real-world problems.

Q1:

Evaluate 1 4 + π¦ 2 if π¦ = 6 .

Q2:

Evaluate 9 π β 6 2 , given that π = 1 0 .

Q3:

Given that π = 4 , determine the value of π β 8 3 .

Q4:

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

Q5:

If π = 2 1 . 4 , π = 2 3 . 4 , and π = 9 , evaluate π + π + π π to the nearest tenth.

Q6:

Evaluate 9 π β π + 3 for π = 2 and π = 5 .

Q7:

Evaluate 7 π π + 2 ( π + 5 ) for π = 3 and π = 1 2 .

Q8:

Evaluate π ( π β π‘ ) for π = 2 , π = 6 , and π‘ = 1 .

Q9:

Evaluate π π π‘ + 1 1 2 for π = 4 , π = 5 , and π‘ = 5 .

Q10:

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

Q11:

Evaluate 6 ( π + π β π ) 2 given that π = 2 , π = 7 , and π = 6 .

Q12:

Evaluate π π β π if π = 5 6 , π = β 8 , and π = β 4 .

Q13:

Given that β π = 1 5 , find π + 4 .

Q14:

Evaluate 7 π π ( β π β ) for π = 1 1 3 , π = β 1 1 2 , β = 2 1 2 , and π = β 1 1 2 .

Q15:

Evaluate π π β π 2 for π = β 8 , π = β 7 , and π = β 9 .

Q16:

Evaluate π β π β π if π = 1 5 , π = β 1 5 , and π = 1 7 .

Q17:

Evaluate 6 π + π π if π = β 8 , π = β 6 , and π = 9 .

Q18:

Evaluate the expression π β 2 2 if π = β 1 2 5 and β = 1 2 3 .

Q19:

Evaluate π₯ π¦ in the simplest form if π₯ = 1 3 and π¦ = 6 7 .

Q20:

Evaluate 4 2 β 1 2 π₯ if π₯ = 3 .

Q21:

If π₯ = 2 3 , π¦ = 1 4 , and π§ = 1 2 , find π₯ π¦ π§ in its simplest form.

Q22:

Given that π₯ = 2 and π¦ = β 5 , find the value of π₯ π¦ 2 β 4 .

Q23:

If π₯ = 3 1 3 , π¦ = 5 8 and, π§ = 6 , find π§ Γ· ( π₯ π¦ ) .

Q24:

Evaluate 9 π₯ if π₯ = 1 5 .

Q25:

Evaluate π₯ π¦ if π₯ = 2 1 3 and π¦ = 3 1 2 .

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