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Input-output tables

Use a given rule to fill in the missing outputs.

Practice + answer key · 4 pages

Worksheet settings10 questions · 2 columns · A4
Input values

The three input values use this range; the same linear rule applies to all three.

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Input-output tablesInput-output tables. Practice. Complete the output row using y = x. Complete the output row using y = 3x − 2. Complete the output row using y = 4x + 3. Complete the output row using y = 5x − 3. Complete the output row using y = 5x. Complete the output row using y = 2x − 3.Name __________________________Date _______________Input-output tablesComplete the output row using the given rule.Worked exampleUse y = 2x + 3 for inputs −1, 0, and 4. → 1, 3, 11x = −1: 2(−1) + 3 = 1.1.Complete the output row using y =x.Input-output table. Rule: y = x. Inputs: 8, −4, 3. Outputs are blank.Input xOutput y8__−4__3__2.Complete the output row using y =3x − 2.Input-output table. Rule: y = 3x − 2. Inputs: 3, −5, −2. Outputs are blank.Input xOutput y3__−5__−2__3.Complete the output row using y =4x + 3.Input-output table. Rule: y = 4x + 3. Inputs: 1, 1, 0. Outputs are blank.Input xOutput y1__1__0__4.Complete the output row using y =5x − 3.Input-output table. Rule: y = 5x − 3. Inputs: −5, −3, 6. Outputs are blank.Input xOutput y−5__−3__6__5.Complete the output row using y =5x.Input-output table. Rule: y = 5x. Inputs: 3, 7, −4. Outputs are blank.Input xOutput y3__7__−4__6.Complete the output row using y =2x − 3.Input-output table. Rule: y = 2x − 3. Inputs: −1, −1, 5. Outputs are blank.Input xOutput y−1__−1__5__MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · fb5de9bf
Input-output tablesInput-output tables. Practice. Complete the output row using y = 5x − 1. Complete the output row using y = 4x + 1. Complete the output row using y = 3x − 1. Complete the output row using y = 2x + 4.Name __________________________Date _______________Input-output tablesComplete the output row using the given rule.7.Complete the output row using y =5x − 1.Input-output table. Rule: y = 5x − 1. Inputs: −1, −1, −2. Outputs are blank.Input xOutput y−1__−1__−2__8.Complete the output row using y =4x + 1.Input-output table. Rule: y = 4x + 1. Inputs: −3, −4, 7. Outputs are blank.Input xOutput y−3__−4__7__9.Complete the output row using y =3x − 1.Input-output table. Rule: y = 3x − 1. Inputs: 8, 3, 7. Outputs are blank.Input xOutput y8__3__7__10.Complete the output row using y =2x + 4.Input-output table. Rule: y = 2x + 4. Inputs: 3, 0, −3. Outputs are blank.Input xOutput y3__0__−3__MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · fb5de9bf
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Practice + answer key · 4 pages

Algebra

What you’ll practice

Use y = ax + b to complete outputs for three inputs.

Apply the rule to each input separately. Multiply first, then add the constant; each new input starts a fresh calculation.

How this skill works

Read the operation order in the rule.

Substitute each input separately. A completed pair can be checked by putting its input back into the rule.

Worked example

Use y = 2x + 3 for inputs −1, 0, and 4.
  1. x = −1: 2(−1) + 3 = 1.
  2. x = 0: 2(0) + 3 = 3.
  3. x = 4: 2(4) + 3 = 11.

Answer: 1, 3, 11

Teaching notes

  • Apply the rule to the input, not to the previous output.
Practice questions
  1. Complete the output row using y = x.

    Input-output table. Rule: y = x. Inputs: 8, −4, 3. Outputs are blank.

  2. Complete the output row using y = 3x − 2.

    Input-output table. Rule: y = 3x − 2. Inputs: 3, −5, −2. Outputs are blank.

  3. Complete the output row using y = 4x + 3.

    Input-output table. Rule: y = 4x + 3. Inputs: 1, 1, 0. Outputs are blank.

  4. Complete the output row using y = 5x − 3.

    Input-output table. Rule: y = 5x − 3. Inputs: −5, −3, 6. Outputs are blank.

  5. Complete the output row using y = 5x.

    Input-output table. Rule: y = 5x. Inputs: 3, 7, −4. Outputs are blank.

  6. Complete the output row using y = 2x − 3.

    Input-output table. Rule: y = 2x − 3. Inputs: −1, −1, 5. Outputs are blank.

  7. Complete the output row using y = 5x − 1.

    Input-output table. Rule: y = 5x − 1. Inputs: −1, −1, −2. Outputs are blank.

  8. Complete the output row using y = 4x + 1.

    Input-output table. Rule: y = 4x + 1. Inputs: −3, −4, 7. Outputs are blank.

  9. Complete the output row using y = 3x − 1.

    Input-output table. Rule: y = 3x − 1. Inputs: 8, 3, 7. Outputs are blank.

  10. Complete the output row using y = 2x + 4.

    Input-output table. Rule: y = 2x + 4. Inputs: 3, 0, −3. Outputs are blank.

Answers and steps
  1. 8, −4, 3
    1. For x = 8, 1 × (8) + (0) = 8.
    2. For x = −4, 1 × (−4) + (0) = −4.
    3. For x = 3, 1 × (3) + (0) = 3.
  2. 7, −17, −8
    1. For x = 3, 3 × (3) + (−2) = 7.
    2. For x = −5, 3 × (−5) + (−2) = −17.
    3. For x = −2, 3 × (−2) + (−2) = −8.
  3. 7, 7, 3
    1. For x = 1, 4 × (1) + (3) = 7.
    2. For x = 1, 4 × (1) + (3) = 7.
    3. For x = 0, 4 × (0) + (3) = 3.
  4. −28, −18, 27
    1. For x = −5, 5 × (−5) + (−3) = −28.
    2. For x = −3, 5 × (−3) + (−3) = −18.
    3. For x = 6, 5 × (6) + (−3) = 27.
  5. 15, 35, −20
    1. For x = 3, 5 × (3) + (0) = 15.
    2. For x = 7, 5 × (7) + (0) = 35.
    3. For x = −4, 5 × (−4) + (0) = −20.
  6. −5, −5, 7
    1. For x = −1, 2 × (−1) + (−3) = −5.
    2. For x = −1, 2 × (−1) + (−3) = −5.
    3. For x = 5, 2 × (5) + (−3) = 7.
  7. −6, −6, −11
    1. For x = −1, 5 × (−1) + (−1) = −6.
    2. For x = −1, 5 × (−1) + (−1) = −6.
    3. For x = −2, 5 × (−2) + (−1) = −11.
  8. −11, −15, 29
    1. For x = −3, 4 × (−3) + (1) = −11.
    2. For x = −4, 4 × (−4) + (1) = −15.
    3. For x = 7, 4 × (7) + (1) = 29.
  9. 23, 8, 20
    1. For x = 8, 3 × (8) + (−1) = 23.
    2. For x = 3, 3 × (3) + (−1) = 8.
    3. For x = 7, 3 × (7) + (−1) = 20.
  10. 10, 4, −2
    1. For x = 3, 2 × (3) + (4) = 10.
    2. For x = 0, 2 × (0) + (4) = 4.
    3. For x = −3, 2 × (−3) + (4) = −2.