Lesson Worksheet: Algebra: Equations and Functions Mathematics

In this worksheet, we will practice creating or completing a function table and determining the domain and the range of the function.

Q1:

Find the missing number in this input–output table given that the rule is to subtract 1.

Input024
Outputβ‹―13

Q2:

Find the function rule for the following input-output table:

Input π‘₯135811
Output 𝑦311193143
  • A𝑦=3π‘₯
  • B𝑦=8π‘₯βˆ’5
  • C𝑦=8π‘₯+13
  • D𝑦=4π‘₯+7
  • E𝑦=4π‘₯βˆ’1

Q3:

Which of the following is a table of values for the function 𝑦=7π‘₯βˆ’3?

  • A
    π‘₯𝑦
    0βˆ’3
    13
    211
    318
  • B
    π‘₯𝑦
    0βˆ’3
    14
    210
    318
  • C
    π‘₯𝑦
    0βˆ’3
    14
    211
    318
  • D
    π‘₯𝑦
    0βˆ’3
    14
    211
    319
  • E
    π‘₯𝑦
    03
    14
    211
    318

Q4:

Find the missing number in this input–output table.

InputOutput
318
6β‹―
742
954
1272

Q5:

Fill in the input-output table, given that the rule is to add 4.

InputOutput
1…
2…
3…
  • A7, 5, 6
  • B6, 7, 9
  • C5, 6, 7
  • D6, 7, 8
  • E5, 7, 8

Q6:

Complete the given function table.

Input (π‘₯)Output (2+π‘₯)
9β‹―
5β‹―
16β‹―
  • A11, 8, 18
  • B11, 7, 19
  • C7, 3, 14
  • D11, 7, 18
  • E12, 7, 18

Q7:

Given that 𝑦=40Γ·π‘₯, complete the following table.

π‘₯𝑦
8…
…2
40…
  • A5, 20, 80
  • B5, 20, 1
  • C320, 20, 80
  • D320, 20, 1

Q8:

Complete the given function table.

Input (π‘₯)Output (3π‘₯)
2β‹―
7β‹―
4β‹―
  • A6, 22, 12
  • B6, 21, 13
  • C5, 10, 7
  • D6, 21, 12
  • E7, 21, 12

Q9:

At an amusement park, a group of children decided to ride the boomerang ride. It cost $8 for one ticket. The table shows how the total price of the tickets depends on the number of passengers. Find the missing values in the table.

Number of PassengersPrice of Tickets
1β‹―
2$16
3$24
4β‹―
5$40
6β‹―
  • A$8, $48, $88
  • B$8, $32, $48
  • C$16, $64, $96
  • D$8, $48, $136
  • E$16, $24, $40

Q10:

The owner of a factory calculates the daily wage of a worker according to the mathematical relation 𝑦=14+6π‘₯ where 𝑦 is the daily wage in LE and π‘₯ is the number of overtime hours worked that day. Use the mathematical relation to complete the table below.

Number of Overtime Hours6β‹―11β‹―
Total Daily Wageβ‹―74β‹―98
  • A22, 10, 52, 14
  • B50, 10, 66, 14
  • C36, 10, 66, 14
  • D50, 10, 80, 14

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