MATHEMATICS - SIMPLIFYING EXPRESSIONS

Combining Like Terms Worksheet

  • Focuses on simplifying algebraic expressions by combining like terms
  • Covers the application of the distributive law in algebraic contexts
  • Includes problems on identifying and correcting errors in algebraic simplification
  • Designed for Grade 6 students to practice medium difficulty algebra skills

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

Which expression is equivalent to 7x + 4 + 3x − 9 after collecting like terms?

  1. A) 10x − 5
  2. B) 10x − 13
  3. C) 10x + 13
  4. D) 4x − 5

Q2.

Simplify 4(2a − 3) + 5a by applying the distributive law and collecting like terms.

  1. A) 13a − 3
  2. B) 8a − 12
  3. C) 28a − 12
  4. D) 13a − 12

Q3.

Which expression has the same value as 3(2p + 5) − 4p for every value of p?

  1. A) 2p + 5
  2. B) 2p + 15
  3. C) 6p + 11
  4. D) 10p + 15

Q4.

Which line correctly shows how to collect the like terms in 9m − 2 + 4 − 5m?

  1. A) (9m − 5m) + ( − 2 + 4) = 4m + 2
  2. B) (9m + 5m) + ( − 2 + 4) = 14m + 2
  3. C) (9m − 5m) + ( − 2 − 4) = 4m − 6
  4. D) (9m − 2) + (4 − 5m) = 6m − 1

Q5.

A rectangle has length 2x + 3 and width x + 5. Which expression represents its perimeter in simplest form?

  1. A) 6x + 8
  2. B) 6x + 16
  3. C) 4x + 16
  4. D) 3x + 8

Q6.

A student writes 5(2y + 1) − 3y = 7y + 1. Which statement best explains the student's error?

  1. A) The student should add 3y instead of subtracting it.
  2. B) The terms 2y and 1 should be collected as like terms.
  3. C) The coefficient of y should remain 2.
  4. D) The student should multiply both 2y and 1 by 5.

Q7.

Which term must be added to 6(n − 2) so that the result simplifies to 9n − 12?

  1. A) 3n
  2. B) 15n
  3. C) 3n − 12
  4. D) 3

Q8.

What is the simplest form of 3(2r − 4) − 2(r + 1) + 5?

  1. A) 8r − 9
  2. B) 4r − 5
  3. C) 4r − 9
  4. D) 4r − 15

Q9.

The figure shows two identical groups of algebra tiles. Which expression represents all the tiles after applying the distributive law and collecting like terms?

Diagram for question 9: The figure shows two identical groups of algebra tiles. Which expression represents all the tiles after…
  1. A) 2x + 3
  2. B) 6x + 2
  3. C) 5x
  4. D) 2x + 6

Q10.

The figure contains two shaded rectangles. Which expression represents their total area in simplest form?

Diagram for question 10: The figure contains two shaded rectangles. Which expression represents their total area in simplest form?
  1. A) 3x + 8
  2. B) 5x + 2
  3. C) 5x + 6
  4. D) 6x + 6

What this assessment covers

Concepts tested

  • Combining like terms in algebraic expressions
  • Applying the distributive property to simplify expressions
  • Understanding equivalent expressions
  • Identifying errors in algebraic simplification
  • Calculating perimeters and areas using algebra

Question Mix

  • Medium questions included

Skills you build

  • Simplifying expressions by combining like terms
  • Applying the distributive law to algebraic expressions
  • Identifying equivalent algebraic expressions
  • Analyzing and correcting algebraic errors
  • Calculating geometric properties using algebraic expressions

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