Calculate the slope of the line containing each set of points.



Find the intercepts for the following lines.



Write the equation of the following lines illustrated below.
Regina has
part-time job working for a national company selling Internet subscriptions
house to house. She is paid $100 per
week plus $15 for each subscription she sells.
- Complete
the table below, showing her weekly pay according to the number of
subscription she sells.
Number of Subscriptions Sold
|
Weekly Pay (in dollars)
|
1
|
|
2
|
|
3
|
|
6
|
|
10
|
|
12
|
|
- Using
ordered pairs from the table above, graph the relationship between
subscriptions sold and weekly pay for Regina.
- Using
variables, write an expression describing Regina’s
weekly pay as it relates to the number of subscriptions she sells.
- How
much does Regina earn if she
sells nine subscriptions in a week?
- How
much does she earn if she sells no subscriptions in a week?
- Regina’s
goal is to earn $400 next week.
How many subscriptions does she need to sell if she wants to
accomplish this goal?
Chapter 4: Systems of Linear Equations
Solve the following problems.
- One
number is twenty-eight more than three times another number. If each
number were multiplied by four, their difference would be 232. What are
the numbers?
- A
number is three less than four times another number. Their sum is one
hundred two. What are the numbers?
- If
the larger of two numbers were decreased by three hundred forty-nine, then
the two numbers would be the same. The sum of the two numbers is 735. What
are the numbers?
- The
larger of two numbers is six more than six times the smaller number. The
larger number is also one hundred twenty-two more than two times the
smaller number. What are the numbers?
- If
Samantha were three times as old as she was five years ago, she will be
sixty less than six times her current age. How old is Samantha?
- Twenty-five
years ago, Hailey was five more than one-third as old as Jason was. Today,
Jason is twenty-six less than two times the age of Hailey. How old is
Jason?
- A
rectangle, whose perimeter is one hundred seventy-six feet, has a length
that is six feet longer than its width. What is the area of the rectangle?
- The
width of a rectangle is 4 1/6 times the size of its length. The perimeter
is 24 1/9 feet. What are its dimensions?
Solve each system of equations using the elimination method.
1.
|
11x - 9y = -309
17x + 14y = -31
|
|
2.
|
5x - 16y = 119
x + 8y = -133
|
|
3.
|
19x - 2y = 614
9x - y = 291
|
|
4.
|
2x - 5y = -144
3x - 5y = -121
|
|
5.
|
5x + 6y = -3
x - 2y = -87
|
|
6.
|
7x + 13y = -601
8x - 3y = -169
|
|
7.
|
17x + 11y = -230
16x - 19y = -1009
|
|
8.
|
7x - 13y = -328
3x + y = 96
|
|
9.
|
9x + 7y = 68
12x + 7y = 107
|
|
10.
|
2x - 3y = -145
3x - 2y = -120
|
|
11.
|
x - 2y = -60
5x - 12y = -346
|
|
12.
|
15x + y = 244
x + 9y = 320
|
|
The Department of Mathematics is trying to decide between two new copy
machines. One sells for $20,000 and
costs $0.02 per copy to operate. The
other sells for $17,500, but its operating costs are $0.025 per copy. The department decides to buy the more
expensive machine. How many copies must the
department faculty and staff make before the higher price is justified?