Accelerated 8, January 25, 2021

Your grandmother makes quilts for everyone in the family. A large quilt requires 8 yards of fabric while the small quilt requires 3 yards. How many of each size quilt did she make if used a total of 90 yards of fabric to make 15 quilts?

(large, small)

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 6 vans and 2 buses with 94 students. High School B rented and filled 5 vans and 5 buses with 165 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

(van, bus)

Write the slope intercept form of the equation of each line. (y=mx+b)

Solve the equation for x. If x equals a number, write the number, if not:
I = infinite
NS = no solution

One line passes through the points  $\left(1,6\right)$  and  $\left(3,0\right)$  . A second line passes through the points  $\left(4,4\right)$  and   $\left(2,8\right)$  . At what point do the lines intersect?

 $\frac{\left(2m^2n^3\times m^0\right)^2}{m^{-4}n^{-3}}$  

Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order.

The combined weight of a puppy and its mother is 47 pounds. The mother weighs 8 pounds less than 4 times the weight of the puppy. How much does the puppy weigh?

Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cindy’s savings is represented by the equation T = 190 + 40w, where T is total savings and w is the number of weeks. In how many weeks will Cindy have more money in her savings than Paige?