7. Which of the following is the LCM of 24, 48, and 80? A. 220 C. 260 B. 240 D. 280 8. What are the first 3 common multiples of 3, 4, and 6? A. 12, 24, 30 C. 12, 24, 36 B. 12, 24, 32 D. 12, 24, 42

9. Which of these multiples is the LCM of 12, 16, and 24? A. 24 C. 54 B. 48 D. 60

10.Alfred Jun visits the library once every 2 days. Jayson visits it once every 3 days while Justine Louie once every 4 days. They all meet one day in the library. After how many days will they meet in the library again? A. 12 C. 20 B. 16 D. 24

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