Worksheet: Evaluating Polynomials at Given Values

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.

Q6:

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

• A
• B
• C
• D
• E

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