# Worksheet: Evaluating Higher-Degree Algebraic Expressions

In this worksheet, we will practice evaluating algebraic expressions of more than one degree with one or multiple variables and applying this in real-world problems.

**Q1: **

Find the value of given and .

**Q2: **

Given that and , find the value of .

- A
- B
- C
- D
- E

**Q5: **

Given that , , and , evaluate .

- A
- B
- C84
- D
- E

**Q6: **

Given that , find when , , and .

**Q8: **

Given that and , evaluate .

**Q9: **

Given that , what is the value of ?

**Q10: **

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

- A
- B
- C
- D

**Q11: **

Evaluate , given that and .

**Q12: **

Given that , , and , evaluate when .

**Q13: **

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

- A
- B
- C
- D

**Q14: **

Given that and , find the value of .

**Q15: **

Given that and , evaluate .

- A
- B16
- C
- D2

**Q16: **

Given that and , find the value of .

- A
- B
- C
- D
- E

**Q17: **

If and , what is the value of ?

- A1
- B
- C
- D

**Q18: **

Evaluate for and .

- A
- B
- C
- D
- E

**Q19: **

Given that and , evaluate .

**Q20: **

The height of an object dropped from the top of a 150-foot-tall building can be described by the expression , where is the time in seconds during which the object is falling. Determine the height of the object 2 seconds after it has been dropped.

**Q21: **

The distance, in feet, an object falls seconds after it is released is given by the expression , where is the acceleration due to gravity. Determine how many feet a stone will fall 5 seconds after it is released from the top of a cliff. Assume feet per second squared.

**Q22: **

The expression can be used to determine the surface area of a cube, where is the edge length of the cube. Determine the surface area of a cube whose edge is 11 centimeters long.

**Q23: **

Evaluate for .

**Q24: **

The surface area, , of a cube of edge is given by . What is the surface area of a cube of edge 9 length units?