MATHEMATICS - DISTRIBUTIVE PROPERTY

Distributive Property Worksheet

  • 10 questions
  • Understand how to manipulate algebraic expressions including: collecting like terms applying the distributive law with a constant.
  • Difficulty: Hard
  • 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 5(2x − 3) − 4(x + 1) + 3x.

  1. A) 9x − 19
  2. B) 3x − 11
  3. C) 17x − 19
  4. D) 9x − 11

Q2.

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

  1. A) −2a − 25
  2. B) 2a + 5
  3. C) −10a + 5
  4. D) −2a + 5

Q3.

Which expression is equivalent to 7(2m − 3) − 5(m + 4)?

  1. A) 9m − 1
  2. B) 9m − 41
  3. C) 9m − 17
  4. D) 19m − 41

Q4.

A rectangle has length (3x − 2) cm and width (x + 5) cm. Which expression gives its perimeter in simplest form?

  1. A) (4x + 3) cm
  2. B) (8x + 6) cm
  3. C) (6x + 10) cm
  4. D) (8x + 3) cm

Q5.

A student is simplifying −4(3y − 2) + 5(y + 1). Which result is correct?

  1. A) −17y + 13
  2. B) −7y − 3
  3. C) −7y + 13
  4. D) 7y + 13

Q6.

After expanding and collecting like terms in 2(3n − 4) − 11n − 1, what are the coefficient of n and the constant term?

  1. A) The coefficient is −5 and the constant is −7.
  2. B) The coefficient is 5 and the constant is 9.
  3. C) The coefficient is 17 and the constant is −9.
  4. D) The coefficient is −5 and the constant is −9.

Q7.

Simplify −2[3b − 4] + 5(b + 6).

  1. A) −b + 38
  2. B) 11b + 38
  3. C) −11b + 22
  4. D) −b + 22

Q8.

Which expression simplifies to 4t − 17?

  1. A) 3(2t − 5) − 2(t − 1)
  2. B) 3(2t + 5) − 2(t + 1)
  3. C) 3(2t − 5) − 2(t + 1)
  4. D) 2(3t − 5) − 2(t + 1)

Q9.

Which simplified expression is represented by the algebra-tile diagram? Use the legend shown in the figure.

Diagram for question 9: Which simplified expression is represented by the algebra-tile diagram? Use the legend shown in the figure.
  1. A) 10x − 5
  2. B) 2x − 5
  3. C) 2x − 1
  4. D) 2x + 1

Q10.

The diagram shows separate non-overlapping rectangles. Which expression gives their total area in simplest form?

Diagram for question 10: The diagram shows separate non-overlapping rectangles. Which expression gives their total area in simplest…
  1. A) 9x − 2
  2. B) 12x + 1
  3. C) 12x − 1
  4. D) 12x − 17

What this assessment covers

Concepts Tested

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

Question Mix

  • Hard questions included

Skills you build

  • Apply

Related assessments

More practice

Other assessments in this subject