# Worksheet: Evaluating Linear Functions

In this worksheet, we will practice evaluating a linear function at a certain point, completing a function table, and using function tables to organize input-output values.

**Q2: **

Evaluate , given that .

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**Q3: **

Evaluate , given that .

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**Q4: **

Given the function , what is the output of this function when the input is 4?

**Q5: **

If , where and , find the value of .

**Q6: **

Given that satisfies the relation , find the value of .

**Q7: **

Which of the following satisfies the relation ?

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**Q8: **

Given that satisfies the relation , find the value of .

**Q9: **

Which of the following relations is satisfied by both the point and the point ?

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**Q10: **

Which of the following pairs all satisfy the relation ?

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**Q11: **

Given that satisfies the relation , find the value of .

**Q12: **

Fill in the missing values given that the following pairs satisfy the relation : , , , and .

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**Q13: **

Given that satisfies the relation , find the value of .

**Q14: **

Which of the following relations does the point not satisfy?

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**Q15: **

Which of the following does the point satisfy?

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**Q16: **

Select the linear function whose graph is contained in the line .

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- Cthe line with intercepts and
- D ,

**Q18: **

Evaluate , given that .

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**Q19: **

Consider a linear function .

Give an expression for .

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What can you conclude about the way a linear function grows?

- AA linear function grows by a constant value over a constant interval .
- BA linear function grows by a constant value over a constant interval .
- CA linear function grows by a constant value over a constant interval .
- DA linear function grows by a constant value over a constant interval .
- EA linear function grows by a constant value over a constant interval .

**Q20: **

In chemistry, the volume of a certain gas is given by , where is temperature in degrees Celsius. If the temperature varies between and , find the interval that describes the corresponding volume values.

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**Q21: **

Evaluate , given that .

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**Q22: **

Answer the following questions for the functions and .

Complete the table of values for .

0 | 1 | 2 | |||

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Complete the table of values for .

0 | 1 | 2 | |||

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Use the tables of values to determine the intersection point of the two graphs.

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**Q23: **

A bookshop sells used paperback books for $11.00 each and used hardcover books for $15.00 each. Find a function rule that shows the total selling price of both types of books, and then determine the price of 8 paperback and 3 hardcover books. Let represent the number of paperback books, the number of hardcover books, and the total selling price of both types of books.

- A , $153.00
- B , $43.00
- C , $87.00
- D , $133.00
- E , $133.00

**Q24: **

Find the range of given where .

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**Q25: **

Find , and in coordinate form and the range of the function .

- A , range
- B , range
- C , range
- D , range