MATHEMATICS - COMBINING LIKE TERMS

Combining Like Terms Worksheet

  • 10 questions
  • Understand how to manipulate algebraic expressions including: collecting like terms applying the distributive law with a constant.
  • Difficulty: Medium
  • Board: CAIE
  • Attempt online on the examination portal

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

Q1.

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

  1. A) 5x + 9
  2. B) 6x + 7
  3. C) 5x + 7
  4. D) 5x − 1

Q2.

Which expression is equivalent to 5(2a − 3) − 4a + 9?

  1. A) 6a + 6
  2. B) 6a − 12
  3. C) 14a − 6
  4. D) 6a − 6

Q3.

Simplify 4(2m + 1) − 3(m − 2).

  1. A) 5m + 10
  2. B) 5m − 10
  3. C) 11m − 2
  4. D) 5m − 2

Q4.

Which is the simplified form of 2(3p − 4) + p + 5?

  1. A) 9p − 3
  2. B) 7p − 3
  3. C) 7p + 1
  4. D) 6p − 3

Q5.

A student simplifies 6(y + 2) + 3y as 9y + 2. Which statement best explains the student's error?

  1. A) The student did not multiply 2 by 6; the result should be 9y + 12.
  2. B) The student multiplied y by 6 incorrectly; the result should be 12y + 2.
  3. C) The student should subtract the constant; the result should be 9y − 12.
  4. D) The student should not combine 6y and 3y; the result should be 6y + 3y + 2.

Q6.

What is the simplified form of 3(2b + 5) + 2(b − 4)?

  1. A) 8b + 7
  2. B) 10b + 7
  3. C) 8b − 7
  4. D) 8b + 11

Q7.

Compare 4(n + 3) + 2n and 3(2n + 4). Which statement is correct?

  1. A) The expressions are not equivalent because their variable terms are different.
  2. B) The expressions are equivalent because both simplify to 6n + 12.
  3. C) The first expression is greater because it simplifies to 8n + 12.
  4. D) The second expression is greater because it simplifies to 6n + 16.

Q8.

Which value of k makes k(2x + 3) + x − 1 simplify to 7x + 8?

  1. A) k = 2
  2. B) k = 5
  3. C) k = 4
  4. D) k = 3

Q9.

The figure represents an algebraic expression using algebra tiles. Each outlined group is multiplied by the number shown beside it. Which expression is the simplified value represented by all the tiles?

Diagram for question 9: The figure represents an algebraic expression using algebra tiles. Each outlined group is multiplied by the…
  1. A) 3x + 5
  2. B) 6x + 5
  3. C) 5x + 5
  4. D) 5x + 7

Q10.

The rectangle in the figure has the displayed side lengths. Which expression gives its simplified perimeter in cm?

Diagram for question 10: The rectangle in the figure has the displayed side lengths. Which expression gives its simplified perimeter…
  1. A) 3x + 2
  2. B) 6x + 4
  3. C) 4x + 4
  4. D) 6x + 2

What this assessment covers

Concepts Tested

  • combining like terms
  • Understand how to manipulate algebraic expressions including: collecting like terms applying the distributive law with a constant.

Question Mix

  • Medium questions included

Skills you build

  • Understand

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