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Evaluating expressions

Replace x with its given value and calculate the result.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Substitution and constant

Choose the values of x and the constant term. Multipliers are from 1 to 9.

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mathsprig-1
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Evaluating expressionsEvaluating expressions. Practice. Evaluate 4x − 6 when x = 5. Evaluate 4x + 3 when x = −6. Evaluate 3x − 8 when x = 1. Evaluate 9x + 1 when x = 4. Evaluate 3x − 4 when x = −1. Evaluate 9x − 4 when x = 1. Evaluate 9x + 10 when x = 3. Evaluate 9x − 10 when x = 9. Evaluate 6x + 5 when x = −4. Evaluate 7x − 1 when x = −5. Evaluate x − 1 when x = 0. Evaluate 7x − 2 when x = −5.Name __________________________Date _______________Evaluating expressionsEvaluate each expression at the stated value of x.Worked exampleEvaluate 3x + 5 when x = −2. → −13(−2) + 51.Evaluate 4x − 6 when x = 5.2.Evaluate 4x + 3 when x = −6.3.Evaluate 3x − 8 when x = 1.4.Evaluate 9x + 1 when x = 4.5.Evaluate 3x − 4 when x = −1.6.Evaluate 9x − 4 when x = 1.7.Evaluate 9x + 10 when x = 3.8.Evaluate 9x − 10 when x = 9.9.Evaluate 6x + 5 when x = −4.10.Evaluate 7x − 1 when x = −5.11.Evaluate x − 1 when x = 0.12.Evaluate 7x − 2 when x = −5.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · 41a4eab5
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Practice + answer key · 2 pages

Algebra

What you’ll practice

Evaluate ax + b for a given integer value of x.

The value of x is supplied, so you do not need to solve for it. Substitute that number into the expression, then multiply before adding.

How this skill works

Replace every occurrence of x with its stated value.

Multiply before adding the constant. A negative substitution should remain in parentheses until the product is calculated.

Worked example

Evaluate 3x + 5 when x = −2.
  1. 3(−2) + 5
  2. −6 + 5
  3. −1

Answer: −1

Teaching notes

  • The value of x is given; this task does not ask you to solve an equation.
Practice questions
  1. Evaluate 4x − 6 when x = 5.
  2. Evaluate 4x + 3 when x = −6.
  3. Evaluate 3x − 8 when x = 1.
  4. Evaluate 9x + 1 when x = 4.
  5. Evaluate 3x − 4 when x = −1.
  6. Evaluate 9x − 4 when x = 1.
  7. Evaluate 9x + 10 when x = 3.
  8. Evaluate 9x − 10 when x = 9.
  9. Evaluate 6x + 5 when x = −4.
  10. Evaluate 7x − 1 when x = −5.
  11. Evaluate x − 1 when x = 0.
  12. Evaluate 7x − 2 when x = −5.
Answers and steps
  1. 14
    1. Substitute x: 4 × (5) − 6.
    2. Multiply first: 20 − 6.
    3. The value is 14.
  2. −21
    1. Substitute x: 4 × (−6) + 3.
    2. Multiply first: −24 + 3.
    3. The value is −21.
  3. −5
    1. Substitute x: 3 × (1) − 8.
    2. Multiply first: 3 − 8.
    3. The value is −5.
  4. 37
    1. Substitute x: 9 × (4) + 1.
    2. Multiply first: 36 + 1.
    3. The value is 37.
  5. −7
    1. Substitute x: 3 × (−1) − 4.
    2. Multiply first: −3 − 4.
    3. The value is −7.
  6. 5
    1. Substitute x: 9 × (1) − 4.
    2. Multiply first: 9 − 4.
    3. The value is 5.
  7. 37
    1. Substitute x: 9 × (3) + 10.
    2. Multiply first: 27 + 10.
    3. The value is 37.
  8. 71
    1. Substitute x: 9 × (9) − 10.
    2. Multiply first: 81 − 10.
    3. The value is 71.
  9. −19
    1. Substitute x: 6 × (−4) + 5.
    2. Multiply first: −24 + 5.
    3. The value is −19.
  10. −36
    1. Substitute x: 7 × (−5) − 1.
    2. Multiply first: −35 − 1.
    3. The value is −36.
  11. −1
    1. Substitute x: 1 × (0) − 1.
    2. Multiply first: 0 − 1.
    3. The value is −1.
  12. −37
    1. Substitute x: 7 × (−5) − 2.
    2. Multiply first: −35 − 2.
    3. The value is −37.