# Worksheet: Evaluating Algebraic Expressions of More Than One Degree

In this worksheet, we will practice evaluating algebraic expressions given integer and fractional inputs.

Q1:

If , what is the value of ?

Q2:

Evaluate when .

Q3:

Find the value of given and .

Q4:

Given that and , find the value of .

• A
• B
• C
• D
• E

Q5:

The formula to calculate the volume of a sphere is .

Make the subject.

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• B
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• E

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

Q6:

Evaluate for .

Q7:

Given that , , and , evaluate .

• A
• B
• C
• D
• E84

Q8:

Given that , find when , , and .

Q9:

Given that and , find the numerical value of .

• A
• B
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• D
• E

Q10:

Given that and , evaluate .

Q11:

Given that , what is the value of ?

Q12:

Find the value of given , , and .

• A
• B
• C
• D

Q13:

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

• A
• B
• C
• D

Q14:

Evaluate , given that and .

Q15:

Given that , , and , evaluate when .

Q16:

Given that and , which of the following choices is a negative number?

• A
• B
• C
• D

Q17:

Given that and , find the value of .

Q18:

Given that and , evaluate .

• A2
• B
• C
• D16

Q19:

Given that and , find the value of .

• A
• B
• C
• D
• E

Q20:

If and , what is the value of ?

• A
• B1
• C
• D

Q21:

Evaluate for and .

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• B
• C
• D
• E

Q22:

Find the value of given , , and .

• A
• B
• C 2
• D
• E

Q23:

Find the value of given , and .

• A
• B
• C
• D
• E

Q24:

Find the value of given , , and .

• A
• B
• C
• D
• E

Q25:

Substitute and into to generate a Pythagorean triple.

• A
• B
• C
• D
• E