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 7x + 3 + 4x − 5 by collecting like terms.

  1. A) 3x − 2
  2. B) 16x
  3. C) 11x − 2
  4. D) 11x + 8

Q2.

Expand and simplify 3(2a + 5) + 4a.

  1. A) 10a + 5
  2. B) 18a
  3. C) 6a + 19
  4. D) 10a + 15

Q3.

Which expression is equivalent to 5(2m − 3) − m?

  1. A) 9m − 15
  2. B) 10m − 16
  3. C) 11m − 15
  4. D) 9m − 3

Q4.

A student writes 4(2r + 3) + r = 8r + 3 + r = 9r + 3. Which statement correctly explains the student's error?

  1. A) The student made no error; 9r + 3 is correct.
  2. B) The student combined 8r and r incorrectly; they make 8r².
  3. C) The student should multiply the final r by 4; the result should be 12r + 3.
  4. D) The student did not multiply 3 by 4; the result should be 9r + 12.

Q5.

There are four identical boxes. Each box contains 3b + 2 counters, and there are another 2b counters outside the boxes. Which expression gives the total number of counters in simplest form?

  1. A) 12b + 10
  2. B) 9b + 6
  3. C) 14b + 8
  4. D) 20b

Q6.

Expression A is 3(2h − 1) + 4h, and Expression B is 10h − 3. Which statement is correct?

  1. A) The expressions are equivalent only when h = 3.
  2. B) The expressions are equivalent because Expression A simplifies to 10h − 3.
  3. C) The expressions are not equivalent because Expression A simplifies to 18h − 3.
  4. D) The expressions are not equivalent because Expression A simplifies to 10h − 1.

Q7.

A constant is used in k(2t + 3) + t. After expanding and collecting like terms, the result is 9t + 12. What is k?

  1. A) 6
  2. B) 2
  3. C) 4
  4. D) 3

Q8.

Simplify 6 − 2(3y − 4) + 5y.

  1. A) 2 − y
  2. B) 14 − y
  3. C) 14 − 11y
  4. D) y + 14

Q9.

The diagram uses algebra tiles. Which expression represents all the tiles in simplest form?

Diagram for question 9: The diagram uses algebra tiles. Which expression represents all the tiles in simplest form?
  1. A) 10x + 1
  2. B) 10x + 3
  3. C) 7x + 3
  4. D) 6x + 7

Q10.

The diagram shows a rectangle. Which expression gives its perimeter in simplest form?

Diagram for question 10: The diagram shows a rectangle. Which expression gives its perimeter in simplest form?
  1. A) 4z + 6
  2. B) 8z + 12
  3. C) 8z + 6
  4. D) 6z + 12

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

Related assessments

More practice

Other assessments in this subject