In this worksheet, we will practice identifying and evaluating polynomials at given values using direct substitution.

**Q1: **

Evaluate , given that , , and .

**Q2: **

Evaluate for .

**Q3: **

Evaluate , given that and .

**Q4: **

The expression can be used to convert the temperature in degrees Celsius, , into degrees Fahrenheit. If a thermometer shows a temperature of , determine the temperature in degrees Fahrenheit.

**Q5: **

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.

**Q7: **

Given that , , and , find the numerical value of .

- A
- B
- C
- D
- E

**Q8: **

The cost, in dollars, of using the wireless internet at an airport is calculated using the expression , where is the number of minutes spent online. How much will it cost to be online for 40 minutes?

**Q9: **

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.

**Q10: **

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 centimetres long.

**Q11: **

Fares intends to buy 8 coins to add to his collection. Older coins are $7 each, while newer ones are $3 each. If of the 8 coins he buys are old, the total cost, in dollars, is . Evaluate the expression to find the total cost if he buys 4 old coins.

**Q12: **

A group of friends is planning to go to a concert, and the cost in dollars for tickets is . Given that as few as 14 people or as many as 31 people might go, find the minimum and maximum costs that the group of friends might pay.

- A$651, $945
- B$35, $52
- C$294, $434
- D$294, $651
- E$35, $45

**Q13: **

The surface area, , of a cube of edge is given by . What is the surface area of a cube of edge 0.3 length units?

**Q14: **

Given that , what is the value of ?

**Q15: **

A company produces greetings cards with an initial cost of 2,000 LE and an extra cost of per card. The total cost is given by , where is the number of produced cards. Find the total cost of producing 15,000 cards.

**Q16: **

If and , what is the value of ?

**Q17: **

A donut shop charges $4 to make a customized frosting and $4 for each donut with the same frosting. The expression represents the cost of donuts with customized frosting. Determine the total cost of 8 of these donuts.

**Q18: **

If and , is prime or composite?

- Aprime
- Bcomposite

**Q19: **

If and , evaluate .

**Q20: **

Evaluate the following expression if and .

**Q21: **

The expression can be used to convert the temperature in degrees Celsius, , into degrees Fahrenheit. If a thermometer shows a temperature of , determine the temperature in degrees Fahrenheit.

**Q22: **

The height of an object dropped from the top of a 350-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 4 seconds after it has been dropped.

**Q23: **

Evaluate for .

**Q24: **

Given that , , and , find the numerical value of .

- A
- B
- C
- D
- E