Lesson Worksheet: Linear Functions Mathematics • 8th Grade

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In this worksheet, we will practice identifying, writing, and evaluating a linear function and completing its function table.

Q1:

Find −18𝑓(−2)16𝑓(−10) given 𝑓(𝑥)=8.

  • A−18
  • B−940
  • C15
  • D−118

Q2:

Evaluate 𝑓(2), given that 𝑓(𝑥)=3𝑥+7.

  • A𝑓(2)=3
  • B𝑓(2)=13
  • C𝑓(2)=12
  • D𝑓(2)=10
  • E𝑓(2)=7

Q3:

Fill in the input-output table for the function 𝑓(𝑥)=5𝑥+3.

Input0245
Output …………
  • A3, 13, 23, 28
  • B3, 12, 23, 28
  • C0, 12, 23, 28
  • D3, 13, 23, 27
  • E0, 13, 23, 28

Q4:

Find the value of 𝑘 given 𝑓(𝑥)=𝑘𝑥+13 and 𝑓(8)=−11.

Q5:

If (−10,−5) belongs to the set of the function 𝑓, where 𝑓(𝑥)=𝑚𝑥+15, find the value of 𝑚.

Q6:

Given that (−7,−3) satisfies the relation 𝑓(𝑥)=−3+3𝑥𝑏, find the value of 𝑏.

Q7:

Which of the following relations does the point (−5,2) not satisfy?

  • A𝑓(𝑥)=−23−5𝑥
  • B𝑓(𝑥)=−5𝑥2
  • C𝑓(𝑥)=−19+5𝑥3
  • D𝑓(𝑥)=17+3𝑥
  • E𝑓(𝑥)=−18−4𝑥

Q8:

Which of the following relations is satisfied by both the point (−1,1) and the point (0,3)?

  • A𝑓(𝑥)=4𝑥+3
  • B𝑓(𝑥)=2𝑥+3
  • C𝑓(𝑥)=4𝑥+5
  • D𝑓(𝑥)=3𝑥+4
  • E𝑓(𝑥)=3𝑥+3

Q9:

Evaluate 𝑓(−𝑥), given that 𝑓(𝑥)=3𝑥+7.

  • A𝑓(−𝑥)=3−7𝑥
  • B𝑓(−𝑥)=−3𝑥+7
  • C𝑓(−𝑥)=3+7𝑥
  • D𝑓(−𝑥)=3𝑥+7
  • E𝑓(−𝑥)=3𝑥−7

Q10:

Evaluate 𝑓(4−𝑥), given that 𝑓(𝑥)=3𝑥+7.

  • A𝑓(4−𝑥)=−3𝑥+19
  • B𝑓(4−𝑥)=3𝑥+12
  • C𝑓(4−𝑥)=3𝑥+18
  • D𝑓(4−𝑥)=3𝑥+7
  • E𝑓(4−𝑥)=−3𝑥+12

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