Question

LOTS OF POINTS - SIMPLE MATH

Match the property name with the appropriate equation.


10. Opposite of a Difference......................A. −[(−r) + 2p] = −(−r) − 2p


11. Opposite of a Sum.....................................B. 16d − (3d + 2)(0) = 16d − 0


12. Opposite of an Opposite.........................C. 5(2 − x) = 10 − 5x


13. Multiplication by 0......................................D. −(4r + 3s) + t = (−1)(4r + 3s) + t


14. Multiplication by –1.....................................E. −(8 − 3m) = 3m − 8


15. Distributive Property...................................F. −[−(9 − 2w)] = 9 − 2w

Answer 1

`10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8`

`11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p`

`12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w`

`13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d`

`\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}`

`14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t`

`15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x`