Question

25. Name the property used in each step.
Given: 2(x + 3) – 4(x – 4)
= 2x + 6 – 4x + 16 ________________________________
= 2x – 4x + 6 + 16 ________________________________
= x(2 – 4) + 6 + 16 ________________________________
= x(-2) + 6 + 16 ________________________________
= -2x + 6 + 16 ________________________________
= -2x + 22 ________________________________

Answer 1

Answer:

i) Given, ii) Distributive property, iii) Commutative property, iv) Distributive property, v) Substraction, vi) Law of signs, multiplication, vi) Sum. Result.

Step-by-step explanation:

25) Name the property used in each step:

i) $2\cdot (x+3) - 4\cdot (x-4)$ Given.

ii) $2\cdot x + 6 - 4\cdot x + 16$ Distributive property.

iii) $2\cdot x - 4\cdot x + 6 +16$ Commutative property.

iv) $x \cdot (2 - 4) + 16 + 16$ Distributive property.

v) $x \cdot (-2) + 6 + 16$ Substraction.

vi) $-2\cdot x + 6 + 16$ Law of signs, multiplication.

vii) $-2\cdot x + 22$ Sum. Result.