So Lou Shun
Is (1, 4) a solution to the system? How do you know?
y = x + 8
y = 7x + 7
No! When you plug in the x-coordinate of the ordered pair into either equation you do not get the correct y value.
Solve the system.
y = -x
x = -2
(-2, 2)
Solve the system.
y = 6x - 11
-2x - 3y = -7
(2, 1)
Solve the system.
-2x - 9y = -25
-4x - 9y = -23
(-1, 3)
Find the slope between the two points (-51, 26) and (-45, -19)
-15/2
The perimeter of a rectangular garden is 62 feet. The length is 1 foot more than twice the width. What are the dimensions of the garden?
The garden is 21 feet in length by 10 feet wide.
Is (8, 6) a solution to this system of equations? How do you know?
13x - 15y = 14
x + y = 14
Yes! When you plug in the x-coordinate you get the y-coordinate from both of the equations.
Solve the system.
y=-1/4x+3
y=-3/2x-2
(-4, 4)
Solve the system.
y = 2x
x + y = 9
(3, 6)
Solve the system.
-7x - 8y = 9
-4x + 9y = -22
(1, -2)
Solve the system.
-6x + 5y = 1
6x + 4y = -10
(-1, -1)
Last season, two running backs on the Steelers football team rushed for a combined total of 1550 yards. One rushed 4 times as many yards as the other. How many yards were rushed by each player?
One running back ran 1240 yards and the other ran 310 yards.
Solve the system.
y=1/5x+9/7
y=1/5x+3/8
No solution!
x - 3y = -6
2x - y= 3
(3, 3)
Solve the system.
y = 5x - 7
-3x - 2y = -12
(4, 0)
Solve the system.
5x + 4y = -30
3x - 9y = -18
(-6, 0)
Write the equation of the line that is parallel to the line and goes through the given point.
y=1/9x-6 and (3, -1)
y = 1/9x - 4/3
On Monday, Joe bought 10 cups of coffee and 5 doughnuts for $16.50. On Tuesday, he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. How much is a single doughnut and a single cup of coffee?
A doghnut costs $0.80 and a coffee costs $1.25.
How many solutions does the system have? How do you know?
6x - 6y = 1
19x - 19y = 10
No solution!
Solve the system.
y=-3/4x+12
y=1/3x-2
(12.923, 2.308)
Solve the system.
y=x-1
y=2/3x+1/3
(4, 3)
Solve the system.
1/2x+1/8y=4
1/3x-1/2y=-2
(6, 8)
Use the function f(x) = 4x^2 - 4 to evaluate f(3).
f(3) = 32
Two senior classes planned a trip to New York City. The first senior class rented 1 van and 6 buses for 372 students. The second senior class rented 4 vans and 12 buses for 780 students. Each van and each bus carried the same number of students. How many students can fit on one bus?
59 students can fit on one bus.
Solve the system.
y = 3x - 10
-21x + 7y = -70
Infinitely many solutions.
Solve the system.
3x - 2y = 2
5x - 5y = 10
(-2, -4)
Solve the system.
-4x + y = 6
-5x - y = 21
(-3, -6)
Solve the system.
0.05x - 0.03y = 0.21
0.07x + 0.02y = 0.16
(2.903, -2.161)
Write a recursive formula for the sequence.
10, 22, 34, 46, 58, 70, ...
a_n=a_(n-1)+12
Kenji is going to ship some gifts to family members, and he is considering two shipping companies. The first shipping company charges a fee of $20 to ship a medium box, plus an additional $2 per pound. A second shipping company charges $6 for the same size of box, plus an additional $4 per pound. At a certain weight, the two shipping methods will cost the same amount. How much will it cost? What is that weight?
The two shipping companies will cost $34 for a weight of 7 pounds.