9G (2.11) Distributing

(2.11) Distributing

​The order doesn't matter!

Just make sure you multiply the 3 with each thing in the parentheses

​The same is true for a parentheses with three things in it!

​The same is true for a parentheses with many things in it!

Multiple Choice

$$5\left(x+2\right)$$

Can you distribute the 5 to each of the thing in the parentheses?

[HINT: multiply the x by 5 and multiply the 2 by 5]

• $$\left(5\cdot x\ +\ 5\cdot2\right)$$

  =

  $$\left(5x\ +10\right)$$

• You can't distribute the 5 to each thing in the parentheses.

Multiple Choice

$$3\left(x+4\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

[HINT: multiply the x by 3 and multiply the 4 by 3]

• $$\left(3\cdot x\ +3\cdot4\right)$$

  =

  $$\left(3x\ +12\right)$$

• You can't distribute the 3 to each thing in the parentheses.

Multiple Choice

$$10\left(x+5\right)$$

Distribute the 10 to each of the things in the parentheses.

[HINT: multiply the x by 10 and multiply the 5 by 10]

• 10x + 50

• 10x - 50

• 10 + 50

• x + 50

• 50x

Multiple Choice

$$2\left(x-4\right)$$

Can you distribute the 2 to each of the thing in the parentheses?

[HINT: multiply the x by 2 and multiply the -4 by 2]

• $$\left(2\cdot x\ -4\cdot2\right)$$

  =

  $$\left(2x-8\right)$$

• You can't distribute the 2 to each thing in the parentheses.

Multiple Choice

$$3\left(x-6\right)$$

Distribute the 3 to each of the things in the parentheses.

• 3x - 18

• 3x + 18

• x - 18

• x + 18

• 3 - 18

Multiple Choice

$$8\left(x-3\right)$$

Distribute the 3 to each of the things in the parentheses.

• 8x - 24
• 3x - 24
• 24 - 8x
• 8x + 24
• 11x - 24

Multiple Choice

$$3\left(4-x\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• $$\left(3\cdot4\ -x\cdot3\right)$$

  =

  $$\left(12-3x\right)$$

• You can't distribute the 3 to each thing in the parentheses.

Multiple Choice

$$5\left(5-x\right)$$

Can you distribute the 5 to each of the thing in the parentheses?

• $$\left(5\cdot5\ -x\cdot5\right)$$

  =

  $$\left(25-5x\right)$$

• You can't distribute the 5 to each thing in the parentheses.

Multiple Choice

$$5\left(-x\ +5\right)$$

Can you distribute the 5 to each of the thing in the parentheses?

• $$\left(-x\cdot5\ +5\cdot5\right)$$

  =

  $$\left(-5x+25\right)$$

• You can't distribute the 5 to each thing in the parentheses.

Multiple Choice

$$3\left(-x\ -4\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• -3x - 12

• 3x - 12

• 3x + 12

• -3x + 12

• -x - 12

Multiple Choice

$$-3\left(-x\ -4\right)$$

Can you distribute the -3 to each of the thing in the parentheses?

• -3x - 12

• 3x - 12

• 3x + 12

• -3x + 12

• -x - 12

bigger than two terms

Multiple Choice

$$3\left(x+y\ +5\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• $$\left(3\cdot x\ +3\cdot y\ +\ 3\cdot5\right)$$

  =

  $$\left(3x+3y+15\right)$$

• You can't distribute the 3 to each thing in the parentheses.

Multiple Choice

$$3\left(x+z\ +2\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• $$\left(3\cdot x\ +3\cdot z\ +\ 3\cdot2\right)$$

  =

  $$\left(3x+3z+6\right)$$

• You can't distribute the 3 to each thing in the parentheses.

Multiple Choice

$$3\left(x-z\ +6\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• 3x - 3z + 18

• 3x + 3z + 18

• 3x - 3z - 18

• -3x - 3z - 18

• - 3xz - 18

distributing a variable

Multiple Choice

$$x\left(x+2\right)$$

Can you distribute the x to each of the thing in the parentheses?

• $$\left(x\cdot x\ +\ x\cdot2\right)$$

  =

  $$\left(x^2+2x\right)$$

• You can't distribute the x to each thing in the parentheses.

Multiple Choice

$$x\left(x+6\right)$$

Can you distribute the x to each of the thing in the parentheses?

• $$\left(x\cdot x\ +\ x\cdot6\right)$$

  =

  $$\left(x^2+6x\right)$$

• You can't distribute the x to each thing in the parentheses.

Multiple Choice

$$x\left(x+6\right)$$

Distribute the x to each of the things in the parentheses.

• x² + 36

• x² + 6x

• x² - 6x

• x² - 36

• 6x - x²

more complicated terms

Multiple Choice

$$3\left(2x+6\right)$$

Can you distribute the 3 to each of the thing in the parentheses?

• $$\left(3\cdot2\cdot x\ +\ 3\cdot6\right)$$

  =

  $$\left(6x+18\right)$$

• You can't distribute the 3 to each thing in the parentheses.

Multiple Choice

$$2\left(3x+4\right)$$

Can you distribute the 2 to each of the thing in the parentheses?

• $$\left(2\cdot3\cdot x\ +\ 2\cdot4\right)$$

  =

  $$\left(6x+8\right)$$

• You can't distribute the 2 to each thing in the parentheses.

Multiple Choice

$$5\left(2x+4\right)$$

Distribute the 5 to each of the thing in the parentheses.

• 5x + 10
• 10x + 10
• 10x - 20
• 5x + 20
• 10x + 20

Multiple Choice

$$2\left(6x-6\right)$$

Distribute the 2 to each of the thing in the parentheses.

• 12x - 12
• 6x - 6
• 10x - 12
• 24x - 24
• 12x + 12

Multiple Choice

$$2x\left(3x+5\right)$$

Can you distribute the 2x to each of the thing in the parentheses?

• $$\left(3\cdot x\cdot2\cdot x\ +\ 5\cdot2\cdot x\right)$$

  =

  $$\left(3\cdot2\cdot x\cdot x+5\cdot2\cdot x\right)$$

  =

  $$\left(6x^2+10x\right)$$

• You can't distribute the 2x to each thing in the parentheses.

Multiple Choice

$$5x\left(2x+7\right)$$

Distribute the 2x to each of the things in the parentheses.

• 10x² + 42x

• 10x² + 28x

• 10x² + 21x

• 10x² + 35x

• 10x² + 14x

Multiple Choice

$$2x\left(3x+9\right)$$

Distribute the 2x to each of the things in the parentheses.

• 6x² + 18x

• 6x² + 9x

• 6x² - 9x

• 6x² + 27x

• 6x² - 18x

Multiple Choice

$$2x\left(4x+6\right)$$

Distribute the 2x to each of the things in the parentheses.

• 8x² + 12x

• 8x² - 6

• 8x² - 12x

• 8x² + 4x

• 8x² + 6

Multiple Choice

$$3x\left(3x-4\right)$$

Can you distribute the 3x to each of the things in the parentheses?

• $$\left(3\cdot x\cdot3\cdot x\ \ -4\cdot3\cdot x\right)$$

  =

  $$\left(3\cdot3\cdot x\cdot x\ \ -4\cdot3\cdot x\right)$$

  =

  $$\left(9x^2-12x\right)$$

• You can't distribute the 3x to each thing in the parentheses.

Multiple Choice

$$2x\left(4x-5\right)$$

Distribute the 3x to each of the things in the parentheses.

• 12x² - 15x

• 6x² + 15x

• 12x² + 15x

• 6x² - 15x

• 12x² + 5x

Multiple Choice

$$7x\left(4x-3\right)$$

Distribute the 7x to each of the things in the parentheses.

• 28x² - 21

• 28x² + 21x

• 28x² - 21x

• 28x² + 3x

• 28x² - 3x

Multiple Choice

$$-3x\left(5x-9\right)$$

Distribute the -3x to each of the things in the parentheses.

• 15x² + 27x

• -15x² + 27x

• 15x² - 27x

• -15x² - 27x

• -15x² + 18x

Multiple Choice

$$-2x\left(4x-6\right)$$

Distribute the -2x to each of the things in the parentheses.

• 2x² - 3x

• -8x² - 12x

• -8x² + 6x

• -8x² + 12x

• 8x² - 12x

Multiple Choice

$$2x\left(3x^2-4x+5\right)$$

Can you distribute the 2x to each of the things in the parentheses?

• $$\left(2x\cdot3x^2\ +2x\cdot4x+2x\cdot5\right)$$

  =

  $$\left(3\cdot2\cdot x\cdot x\cdot x\ \ +4\cdot2\cdot x\cdot x+5\cdot2\cdot x\right)$$

  =

  $$\left(6x^3+8x^2+10x\right)$$

• You can't distribute the 2x to each thing in the parentheses.

Multiple Choice

$$2x\left(5x^2-4x+3\right)$$

Distribute the 2x to each of the things in the parentheses.

• 10x³ - 2x² + 6x²

• 10x³ - 4x² + 6x

• 10x³ - 8x² + 3x

• 10x³ - 8x² + 6x

• 10x³ - 8x² - 6x

Multiple Choice

$$2x\left(x^3+x^2+x+1\right)$$

Distribute the 2x to each of the things in the parentheses.

• 2x⁴ + 2x³ + 2x²

• 2x⁴ + 2x²

• 2x² + 2x³ + 2x² + 2x

• 2x³ + 2x² + 2x

• 2x⁴ + 2x³ + 2x² + 2

Multiple Choice

$$0\left(-2x^4+6x^3+8x^2-7x+10\right)$$

Distribute the 0 to each of the things in the parentheses.

• -4x⁵ + 12x⁴ + 16x³ - 14x² + 20x

• -4x⁵ + 12x⁴ + 16x³ - 14x² - 20x

• -4x⁵ - 12x⁴ + 16x³ - 14x² - 20x

• 0

• 4x⁵ + 12x⁴ + 16x³ + 14x² + 20x

NEXT,
we'll talk about FOILing
AKA distributing two numbers