LOTS OF POINTS - SIMPLE MATH Match the property name with the appropriate equation.

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

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

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

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

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

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

What is the difference between the points (4, 7) and (4, -5)? a. 0 units b. 2 units c. 4 units d. 12 units

Sasha drank 8 bottles of water everyday for a week. how many bottles of water did she drink in total?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24