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Expanding Algebraic Expressions: Multiplying Binomials and Polynomials

Practice expanding algebraic expressions by multiplying binomials and polynomials. Covers difference of squares, perfect squares, and multi-variable expressions.

25 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is (n - 7) (n + 11) in expanded form?

  1. n2 + 4n - 77
  2. n2 - 4n - 77
  3. n2 - 4n + 77
  4. n2 - 18 - 77
Question 2 Multiple Choice (Single Answer)

What is (7x + 5) (4y + 5) in expanded form?

  1. 28xy + 26 + 37x + 21y
  2. 28xy + 26 + 37y + 21x
  3. 28xy + 25 + 35y + 20x
  4. 28xy + 25 + 35x + 20y
Question 3 Multiple Choice (Single Answer)

What is (u - v) (u - v) in expanded form?

  1. u2 - uv + v2
  2. u2 - 2uv + v2
  3. u2 + 2uv + v2
  4. u2 - 2uv - v2
Question 4 Multiple Choice (Single Answer)

What is (u + 12) (u - 12) in expanded form?

  1. u2 + 144
  2. u2 - 24 + 144
  3. u2 - 144
  4. u2 + 24 + 144
Question 5 Multiple Choice (Single Answer)

What is (m - n) (z + c) in expanded form?

  1. mz - nz + mc - nc
  2. mz + nz - mc - nc
  3. mz - nz - mc + nz
  4. mz - nz -<span style="font-family:" arial;="" font-size:="" small;=""> mc - nc
Question 6 Multiple Choice (Single Answer)

What is (k + 13) (k - 7) in expanded form?

  1. k2 - 6k - 91
  2. k2 + 6k + 91
  3. k2 - 6k + 91
  4. k2 + 6k - 91
Question 7 Multiple Choice (Single Answer)

What is (6u + 5) (5v + 6u) in expanded form?

  1. 36u2 + 30u + 25v + 30uv
  2. 36u2 + 31u + 26v + 32uv
  3. 36u2 + 30u + 26v + 32uv
  4. 36u2 + 32u + 25v + 35uv
Question 8 Multiple Choice (Single Answer)

What is (3m + 5) (6n + 7) in expanded form?

  1. 35mn + 18m + 21n + 430
  2. 18mn + 30m + 21n + 35
  3. 18mn + 21m + 30n + 35
  4. 18m + 21mn + 30n + 35
Question 9 Multiple Choice (Single Answer)

What is (n - 4) (n - 6) in expanded form?

  1. n2 - 10n - 24
  2. n2 - 10n + 24
  3. n2 + 10n - 24
  4. n2 + 10n + 24
Question 10 Multiple Choice (Single Answer)

What is (x - 6) (4y - 1) in expanded form?

  1. 4xy + 6 + x - 24y
  2. 4xy - 6 - x + 24y
  3. 4xy + 6 - x - 24y
  4. 4xy -<span style="font-family:" arial;="" font-size:="" small;=""> 6 + x - 24y
Question 11 Multiple Choice (Single Answer)

What is (7k + 2) (12p + 5) in expanded form?

  1. 84p + 35kp + 24k + 10
  2. 84pk + 35k + 24p + 10
  3. 84k + 35k + 24kp + 10
  4. 84 + 35kp + 24k + 10p
Question 12 Multiple Choice (Single Answer)

What is (4n + 1) (2n + 6) in expanded form?

  1. 8n2 + 26n + 6
  2. 8n2 - 26n + 6
  3. 8n2 - 26n - 6
  4. 8n2 + 26n - 6
Question 13 Multiple Choice (Single Answer)

What is (p - 5) (7p + 2) in expanded form?

  1. 7p2 + 33p - 10
  2. 7p2 - 35p - 10
  3. 7p2 + 33p + 10
  4. 7p2 - 33p - 10
Question 14 Multiple Choice (Single Answer)

What is (8p - 2) (6p + 2) in expanded form?

  1. p2 - 48p - 4
  2. 48p2 + 4p - 4
  3. 48p2 + 4p + 4
  4. p2 + 48p + 4
Question 15 Multiple Choice (Single Answer)

What is (2n + 2) (6n - 1) in expanded form?

  1. 12n2 + 10n - 2
  2. 12n2 + 14n - 2
  3. 12n2 - 14n + 2
  4. 12n2 + 10n + 2
Question 16 Multiple Choice (Single Answer)

What is (5z + 6) (5z - 5) in expanded form?

  1. 25z2 - 5z + 30
  2. 25z2 - 5z - 30
  3. 25z2 + 5z + 30
  4. 25z2 + 5z - 30
Question 17 Multiple Choice (Single Answer)

What is (2a - 1) (8a - 5) in expanded form?

  1. 16a2 + 18a - 5
  2. 16a2 - 18a + 5
  3. 16a2 + 18a + 5
  4. 16a2 - 18a - 5
Question 18 Multiple Choice (Single Answer)

What is (6x - 2) (x - 3) in expanded form?

  1. 6x2 + 20x + 6
  2. 6x2 + 20x - 6
  3. 6x2 - 20x + 6
  4. 6x2 - 20x - 6
Question 19 Multiple Choice (Single Answer)

What is 2(7m + 10) (7m - 10) in expanded form?

  1. 98m2 - 200
  2. 99m2 + 200
  3. 98m2 + 200
  4. 200m2 - 900
Question 20 Multiple Choice (Single Answer)

What is (9x + 10) (9x - 10) in expanded form?

  1. 81x2 + 100
  2. 100x2 - 81
  3. 81x2 - 100
  4. 9x2 - 10
Question 21 Multiple Choice (Single Answer)

What is (3x - 4) (4x + 3) in expanded form?

  1. 12x2 + 7x - 12
  2. 12x2 - 7x + 12
  3. 12x2 + 7x + 12
  4. 12x2 -<span style="font-family:" arial;="" font-size:="" small;=""> 7x - 12
Question 22 Multiple Choice (Single Answer)

What is (4n - 1) (4n - 1) in expanded form?

  1. 16n2 - 8n + 1
  2. 8n2 - 16n + 1
  3. 16n2 + 8n - 1
  4. 16n2 - 8n - 1
Question 23 Multiple Choice (Single Answer)

What is (4m + 8) (4m - 8) in expanded form?

  1. 4m2 - 8
  2. 4m2 - 64
  3. 16m2 + 64
  4. 16m2 - 64
Question 24 Multiple Choice (Single Answer)

What is (7m + 8) (8m + 6) in expanded form?

  1. 42m2 + 98m + 48
  2. 56m2 + 106m + 48
  3. 56m2 + 48m + 106
  4. 42m2 + 106m + 48
Question 25 Multiple Choice (Single Answer)

What is (4a + 2) (6a2 - a + 2) in expanded form?

  1. 24a3 + 8a2 + 6a + 4
  2. 24a3 - 8a2 + 6a + 4
  3. 24a3 - 8a2 + 4a + 6
  4. 24a3 - 8a2 - 6a + 4
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