MCAS 2001, 10th Grade Math, Questions 13 to 16
Click here for a PDF version of this set of questions. The PDF format
may offer a clearer version when you print these pages
(requires the free Adobe Acrobat Reader).
Your printer may also be able to print directly from the version which
is now appearing on your computer screen.
Question #13
Use the figure below to answer question 13.
In the figures below, math tiles were used to build rectangular arrays to
represent each of the quadratic expressions.
a. Show how to build rectangular arrays, if possible, for each of the following
expressions using the three math tiles.
2x2 + 3x + 1
3x2 + 2x
3x2 + 6x + 5
b. How can you determine if a rectangular array can be built for an expression?
Question #14
Find all the values of x that satisfy the following equation.
x2 + 2x - 15 = 0
Question #15
At the first stop, 3/4 of the passengers on the bus got off and 8 people got on. A
total of 16 passengers were left on the bus. Write an equation that can be
solved to find how many passengers were on the bus before the first stop. Let x
represent the number of passengers on the bus before the first stop. (You do not
have to solve the equation.)
Question #16
When Elena works on Saturdays, she buys a salad and juice for lunch. There
are two take-out restaurants near where she works. The prices in the two
restaurants are given below.
a. How many ounces of salad, together with a bottle of juice, can Elena buy at
Hector's To-Go for $4.50?
b. Write an equation that shows the cost, C, of Elena's lunch at Hector's To-Go
if she buys a bottle of juice and n ounces of salad.
c. On the grid in your Student Answer Booklet, graph the equation you wrote
in part b.
- Use the horizontal axis for the number of ounces, with each increment
representing one ounce.
- Use the vertical axis for cost, with each increment representing 50¢.
d. What are the different amounts of salad that Elena can buy so her complete
lunch is less expensive at Tammy's Take-Out than at Hector's To-Go?
Remember that Elena always buys a bottle of juice with her salad. Show or
explain how you found your answer.
Go to another week's questions
Return to AchievementInfo.Com Home Page