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Year 9 Substitution Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

Year 9 · Mathematics · Algebraic Expressions

Year 9 Substitution Worksheet — Level 3 — Answers

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Replace the letter with the number, then calculate. Use brackets for negative values.

1.Find the value of −3x + 6 when x = 5

Answer: −9

  1. −3 × 5 + 6
  2. = −15 + 6 = −9
2.Find the value of −3x − 3 when x = 2

Answer: −9

  1. −3 × 2 − 3
  2. = −6 − 3 = −9
3.If x = 6 and y = −5, find the value of −4x2 + 2y

Answer: −154

  1. −4 × (6)² + 2 × (−5)
  2. = −144 − 10 = −154
4.If x = 4 and y = 5, find the value of −3x2 + 2y

Answer: −38

  1. −3 × (4)² + 2 × (5)
  2. = −48 + 10 = −38
5.If x = 3 and y = −2, find the value of −2x2 + 2y

Answer: −22

  1. −2 × (3)² + 2 × (−2)
  2. = −18 − 4 = −22
6.If x = 2 and y = 2, find the value of −5x2 − 8y

Answer: −36

  1. −5 × (2)² − 8 × (2)
  2. = −20 − 16 = −36
7.Find the value of 9x − 7 when x = −6

Answer: −61

  1. 9 × (−6) − 7
  2. = −54 − 7 = −61
8.Find the value of 9x − 9 when x = −1

Answer: −18

  1. 9 × (−1) − 9
  2. = −9 − 9 = −18
9.Find the value of 9x − 5 when x = 3

Answer: 22

  1. 9 × 3 − 5
  2. = 27 − 5 = 22
10.Find the value of 4x + 5 when x = −6

Answer: −19

  1. 4 × (−6) + 5
  2. = −24 + 5 = −19
11.If x = 4 and y = 4, find the value of 2x2 − 7y

Answer: 4

  1. 2 × (4)² − 7 × (4)
  2. = 32 − 28 = 4
12.If x = −6 and y = 5, find the value of 6x2 + 7y

Answer: 251

  1. 6 × (−6)² + 7 × (5)
  2. = 216 + 35 = 251
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