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In this lesson, we will learn how to evaluate algebraic expressions given integer and fractional inputs.

Q1:

The formula to calculate the volume of a sphere is π = 4 3 π π 3 .

Make π the subject.

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

Q2:

Evaluate ( 3 π‘ + 8 ) Γ· 2 2 for π‘ = β 2 .

Q3:

Evaluate 1 5 π π 2 for π = 1 1 2 and π = β 1 2 3 .

Q4:

Given that π = 2 1 3 , π = β 2 2 3 , and π = 4 1 2 , evaluate οΌ β 1 3 π ο β 3 π π 3 .

Q5:

Given that π = π ( 1 + π ) π , find π when π = 7 . 4 Γ 1 0 3 , π = 5 . 8 Γ 1 0 β 3 , and π = 6 .

Q6:

Find the value of ( π β π ) 2 given π = 3 8 9 and π = β 7 9 .

Q7:

Find the value of 1 π₯ π¦ π§ given π₯ = 4 3 , π¦ = 3 2 , and π§ = β 5 .

Q8:

Given that π₯ = 1 2 , π¦ = β 2 3 , and π§ = β 1 3 , find the numerical value of π₯ π¦ π¦ + π§ 2 2 .

Q9:

Find the value of π₯ π¦ π§ given π₯ = β 5 2 , π¦ = β 1 2 and π§ = β 2 .

Q10:

Given that π₯ = 8 ( 5 + 9 ) β 6 and π¦ = ( 7 Γ 2 ) β 9 2 2 , evaluate ( π₯ β π¦ ) β 7 2 2 .

Q11:

Given that π₯ = 2 and π¦ = β 5 , which of the following choices is a negative number?

Q12:

Given that π¦ = 2 3 and π = 3 2 , find the value of ( π¦ β π ) 3 .

Q13:

Given that π = 1 β 3 and π = β 3 , find the value of 4 π β ( 3 β π ) 2 β 1 .

Q14:

Find the value of π₯ π¦ π§ given π₯ = 1 4 , π¦ = 4 3 , and π§ = 4 .

Q15:

Given that π + 1 π = β 6 , what is the value of π + 1 π 2 2 ?

Q16:

If π = β π and π = 1 , what is the value of οΌ 5 6 ο π β π ?

Q17:

If β 6 π₯ = 2 4 , what is the value of 6 π₯ β 1 ?

Q18:

Find the value of ( π₯ + π§ ) Γ· ( π¦ β π§ ) given π₯ = β 5 2 , π¦ = β 7 6 , and π§ = 1 .

Q19:

Substitute π₯ = 2 and π¦ = 1 into οΉ π₯ + π¦ ο = οΉ π₯ β π¦ ο + ( 2 π₯ π¦ ) 2 2 2 2 2 2 2 to generate a Pythagorean triple.

Q20:

Determine the value of π π , given that π = β 1 2 and π = β 1 0 .

Q21:

Given that , , and , determine the numerical value of the expression .

Q22:

Evaluate π Γ π 2 3 , given that π = 4 and π = 3 .

Q23:

Given that π = β 5 and π = β 2 , find the value of π + π π + π 3 3 .

Q24:

Given that π = 4 3 and π = 2 3 , evaluate ο» π π ο 4 .

Q25:

Given that π = β 5 π₯ + 2 , π = π₯ + 2 , and π = 2 π₯ β 4 , evaluate π π β π 2 when π₯ = 0 .

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