Graphing
y = -2x + 2
y = 1/2x - 3
(2, -2)
5x + 3y = 34
(-1, 13)
y = 2x - 1
2x + 2y = 22
(4, 7)
Jay has written 24 songs to date. He writes an average of 6 songs per year. Jenna started writing songs this year and expects to write 12 songs per year. In how many years will Jay and Jenna have the same number of songs?
4 Years
What is the solution of 12(x + 1) = 36?
x = 2
y = -x + 4
y = 3x + 12
(-2, 6)
3x + 2y = 41
5x - 3y = 24
(9, 7)
-x + y = -13
3x - y = 19
(3, -10)
The owner of a hair salon charges $20 more per haircut than the assistant. Yesterday the assistant gave 12 haircuts and the owner gave 6 haircuts. The total earnings were $750. How much does the owner charge for a haircut?
$55
Greg's school paid $1012.50 for 135 homecoming shirts. How much would 235 shirts cost?
$1762.50
y - 3 = 2x
3y = x - 6
(-3, -3)
5x + 4y = -83
3x - 3y = -12
(-11, -7)
1/3y = 7/3x + 5/3
x - 3y = 5
(-1, -2)
Write a system of equations that has no solution.
Answers will vary.
A system of equations has two equations and two variables. The graphs of the equations have the same slope but different y-intercepts. How many solutions does the system have?
0
y = x + 1
2x - 2y = -2
Infinite Solutions
x + 2y = 23
5x + 10y = 55
No Solutions
y = x - 7
3x - 3y = 21
Infinite Solutions
The length of a rectangle is 3 times the width. The perimeter is 44 cm. What are the dimensions of the rectangle?
5.5 cm x 16.5 cm
A group of students are going on a trip. If the group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students fit into a van?
6
Describe (or draw a sketch) of the graph of a system of equations that has no solution.
Parallel lines
4x + y = 21
-2x + 6y = 9
(4.5, 3)
3x + y = -13
-2x + 5y = -54
(-11/17, -188/17)
It takes a florist 3 hours and 15 minutes to make 3 small centerpieces and 3 large centerpieces. It takes 6 hours and 20 minutes to make 4 small centerpieces and 7 large centerpieces. How long does it take to make each type of centerpiece?
Small: 25 minutes
Large: 40 minutes
The width of Ben's room is 3 feet less than the length. The perimeter is 70 feet. Which equation can be used to find the length?
A) 70 = L - 3
B) 70 = 2(L - 3)
C) 70 = 2L - 3
D) 70 = 2(2L - 3)
D) 70 = 2(2L - 3)