Distributive Property and Their Inverse

Distributive Property

by Omar Shishani

Poll

Which animal would you rather control?

Multiple Choice

Which property does this represent?

$$3x+y$$  

When x = 3 and y = 5;

3(3) + 5

• Symmetric Property

• Transitive Property

• Substitution Property

• Reflexive Property

Multiple Choice

Which additional property does this represent?

23 + 0 = 23

• Additive Identity

• Additive Inverse

Multiple Choice

Which additional property does this represent?

23 + (-23) = 0

• Additive Identity

• Additive Inverse

Multiple Choice

Which Multiplication property does this represent?

35 x 1 = 35

• Multiplicative Identity

• Multiplicative Property of Zero

• Multiplicative Inverse

Multiple Choice

Which Multiplication property does this represent?

$$\frac{3}{5}\times\frac{5}{3}=1$$  

• Multiplicative Identity

• Multiplicative Property of Zero

• Multiplicative Inverse

Multiple Choice

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

2(c - 8)

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

Multiple Choice

4(p - 6)

• -4p - 24

• 4p + 24

• 4p + 24

• 4p - 24

Multiple Choice

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Multiple Choice

(b + 8)5

• b + 40

• 5b - 40

• 5b + 40

• 5b + 8

Multiple Choice

10(8 - 2x)

• 80-20x

• 80+20x

Multiple Choice

3(6x - 5)

• 18x-15

• 18x+-15

• 9+15x

• 9x-15

Multiple Choice

6(2r + 10)

• 8r+16

• 12r+60

• 6r+10

Multiple Choice

$$3\left(z^2+3z-5\right)$$  

• $$3z^2+9z-15$$  

• $$3z^2+9z+15$$  

• $$3z^2+3z-15$$  

• $$3z^2+3z+15$$  

Multiple Choice

$$4\left(2z^2+7z-4\right)$$  

• $$8z^2+28z-16$$  

• $$8z^2+28z+16$$  

• $$8z^2+11z-8$$  

• $$4z^2+7z+8$$  

Multiple Choice

3x + 5x + 3

• 8x + 3

• 11x

• 11x + 3

• 6x + 5

Multiple Choice

$$5x^2+2x-7x+4$$  

• $$5x^2-5x+4$$  

• $$5x^2+5x+4$$  

• $$5x^2+x$$  

• $$5x^2-x$$  

Multiple Choice

Simplify the following expression: -7x +5 (1 - 8x)

• -33x + 5

• 5 + 33x

• 47x + 5

• 5 - 47x

Multiple Choice

Simplify the following expression: -6x + 4(-x - 3)

• -2x - 12

• 10x + 12

• -10x - 12

• -2x + 12

Multiple Choice

Simplify the following expression: -8 (5b + 2) -7 (b - 5)

• -33b + 19

• -47b² +  21

• 33b - 19

• -47b + 19