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Algebraic Expressions Exploration

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Algebraic Expressions Exploration

Collect like terms before evaluating. Show your working for short-answer questions.

Choose and identify

Select the best answer for each question. For the like-term question, select every correct pair.

1.Which expression is equivalent to 6r − 2r + 5r?
  • 9r
  • 9r²
  • 3r
  • 13r
2.Simplify 7u + 3v − 4u.
  • 3u + 3v
  • 11u + 3v
  • 3u − v
  • 7u − v
3.Choose the simplified form of 4k + 2 + 3k − 6.
  • 7k − 4
  • 7k + 8
  • k − 4
  • 7k − 8
4.Select every pair that contains like terms.
  • 8a and −3a
  • 5m and 5n
  • 12 and −7
  • 2xy and 9xy
  • 3p and 3p²

Match, simplify and evaluate

Match each expression to its simplified form. Then complete the short-answer questions, showing your steps.

5.Match each expression on the left with its simplified form on the right.
  • 2x + 5x
  • 9b − 3b − 2
  • 4c + 3 − c
  • 8y − 5y + 1
  • 7x
  • 3y + 1
  • 6b − 2
  • 3c + 3
6.Evaluate 4p + 3q when p = 2 and q = 5.
7.Simplify 8a − 2b + 5 − 3a, then find its value when a = 4 and b = 3.
8.Simplify 3x + 4y − 6x, then evaluate the simplified expression for x = 2 and y = 5.

Challenge

Combine like terms first, then substitute the given values.

9.Simplify 4x − 3y + 2z + 5x + 6y − 7z. Then evaluate it for x = 2, y = −1 and z = 3.

2 printable pages

  • Algebraic Expressions Exploration, page 1 of 2: Choose and identify, Match, simplify and evaluate

    Page 1

  • Algebraic Expressions Exploration, page 2 of 2: Challenge

    Page 2

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