Math Practice Topic: Foil Method

Description: Expand expressions using the FOIL (first, outer, inner, last) method.

Adaptive Learning Progression: Progressively introduces a variety of situations.

Sample Levels (out of 7)

Expand the following expressions using the FOIL method.
Combine any like terms, but when that is not possible, be sure to follow the order of FOIL: First + Outer + Inner + Last. e.g.
  (w+5x)(y+6z) = wy + 6wz + 5xy + 30xz
You don't need multiplication signs.
As you level up, you will need to put variables in alphabetical order, such as xy (not yx).

1.
(-x - 2)(4x + 5) →
2.
(-2x - 3)(5x + 2) →
3.
(3x + 2)(-3x + 5) →

Expand the following expressions using the FOIL method.
Combine any like terms, but when that is not possible, be sure to follow the order of FOIL: First + Outer + Inner + Last. e.g.
  (w+5x)(y+6z) = wy + 6wz + 5xy + 30xz
You don't need multiplication signs.
As you level up, you will need to put variables in alphabetical order, such as xy (not yx).

1.
(-x + 3y)(8x + 6y) →
2.
(x - 6y)(2x + 3y) →
3.
(-6x + 4y)(-5x - 7y) →

Expand the following expressions using the FOIL method.
Combine any like terms, but when that is not possible, be sure to follow the order of FOIL: First + Outer + Inner + Last. e.g.
  (w+5x)(y+6z) = wy + 6wz + 5xy + 30xz
You don't need multiplication signs.
As you level up, you will need to put variables in alphabetical order, such as xy (not yx).

1.
(6v + w)(-4j + 2w) →
2.
(9p - 10i)(a - 8i) →
3.
(4h - 9c)(-f + 7c) →

Expand the following expressions using the FOIL method.
Combine any like terms, but when that is not possible, be sure to follow the order of FOIL: First + Outer + Inner + Last. e.g.
  (w+5x)(y+6z) = wy + 6wz + 5xy + 30xz
You don't need multiplication signs.
As you level up, you will need to put variables in alphabetical order, such as xy (not yx).

1.
(2x + 4y)(2x - 4y) →
2.
(x + 2y)2
3.
(3x + 4y)2
4.
(3x + 2y)2
5.
(4x + 4y)2

Expand the following expressions using the FOIL method.
Combine any like terms, but when that is not possible, be sure to follow the order of FOIL: First + Outer + Inner + Last. e.g.
  (w+5x)(y+6z) = wy + 6wz + 5xy + 30xz
You don't need multiplication signs.
As you level up, you will need to put variables in alphabetical order, such as xy (not yx).

1.
(-2x + 10)(-5x - 7) →
2.
(4x + 5y)2
3.
(2x - 7y)(-5x + y) →
4.
(-6n + 6x)(10z - 6b) →
5.
(-3x - 4)(-x - 3) →

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