Graphing
y = -2x +4
y = 2x + 4
(0, 4)
y = -x - 3
7x + 2y = 4
(2, -5)
5x + 2y = - 2
x - y = 8
(2, -6)
Mr. Jerz wants to send his children to summer camp. Camp A chargest $225 per week plus a one-time registration fee of $100. Camp B charges $200 per week plus a one-time registration fee of $175. For what number of weeks are the costs of the two camps the same?
3 weeks
x + 4y = 18
x + 8y = 38
(-2, 5)
4y = 2x -2
2y = 2x + 6
x + 2y = 7
3x - 2y = -11
( -1, 4)
5x - 7y = -64
(4, 12)
Karlee and Ian are running for student government president. Altogether, 612 votes were cast during the election. Karlee received 70 more votes than Ian. How many votes did each candidate receive?
Karlee got 341 votes, Ian got 271 votes
0.6x + 5y = 11
3x + 2y = 28
(10, -1)
4x + 2y = 8
2x + y = 6
No solution
x = -y + 5
3x = 2y + 5
(3,2)
5x - 3y = 5
15x - 15y = 19
No solution
Mrs. Jensen is making a quilt. She has 80 squares of fabric to make the quilt. All the squares are either blue or yellow. She has 20 more blue square than yellow. How many of each color square does Mrs. Jensen have?
50 blue and 30 yellow
x + y = -7
2x + 2y = -14
infinitely many solutions
3y - 3x = -6
x - y = 2
Infinitely Many Solutions
y = 2
x + y = 14
(12, 2)
2x - 5y = -1
3x + 2y = 8
(2, 1)
Marco is selling comic books and other paperback books. The comic books cost $3 each, and the other paperbacks cost $0.75 each. Marco sold a total of 60 books and made $135. How many comic books did he sell? How many paperback books did he sell?
40 comic books
20 paperback books
y = 1/3x - 7/3
(4, -1)