Name___________________________________________ Period ___ Date______________
Algebra: Midterm Review
1) Albany begins the day with 5 inches of snow on the ground and Buffalo begins the same day
with 2 inches of snow on the ground. Two snowstorms begin at the same time in Albany and
Buffalo, snowing at a rate of 0.8 inches per hour in Albany and 1.4 inches per hour in Buffalo.
The number of inches of snow on the ground in Albany and Buffalo during the course of
these snowstorms are modeled by f(x) and g(x), respectively.
a) In function notation, write f(x) and g(x) to represent the number of inches of snow on
the ground in Albany and Buffalo during the course of these snowstorms.
b) Determine the number of hours (x) that would pass before Albany and Buffalo have
the same amount of snow on the ground. [The use of the grid below is optional.]
c) A researcher records the total amount of snow three and half hours into the
snowstorms. Determine if Albany or Buffalo has more snow on the ground at this
time. Justify your answer.
2)
3) Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are
worth 5 points and the rest are worth 2 points. How many of each question are on the test?
4) A local business was looking to hire a landscaper to work on their property. They narrowed
their choices to two companies. Flourish Landscaping Company charges a flat rate of $120
per hour. Green Thumb Landscaping charges $70 per hour plus $1600 equipment fee.
a) Write a system of equations representing how much each company charges.
b) Determine and state the number of hours that must be worked for the cost of each
company to be the same. [The use of the grid below is optional.]
c) If it is estimated to take at least 35 hours to complete the job, which company will be
less expensive? Justify your answer.
5) A monthly magazine is hiring reporters to cover school events and local events. In each
magazine, the managing editor wants at least 4 reporters covering local news and at least 1
reporter covering school news. The budget allows for not more than 9 different reporters’
articles to be in one magazine.
a) Graph the region that shows the possible combinations of local and school events
covered in a magazine.
b) Is it possible for the magazine to include 5 local and 2 school events? Justify your
answer.
6) The difference between two numbers is 28. The larger number is 8 less than twice the
smaller number. Find both numbers. [Only an algebraic solution can receive full credit.]