Intro to Systems
Describe the slope and y-intercept of the following system:
y = 4x + 3
y = -x - 2
What is
up / down 4, right / left 1 start at 3
down / up 1, right / left 1 start at -2
Solve
2x - 3y = -1
y = x - 1
What is (4,3)
Solve
-4x + y = 6
-5x -y = 21
What is (-3,-6)
Describe the slope and y-intercept of the following system:
y = -4/3 x + 6
y = 2/5x - 9
What is:
down / up 4, right / left 3 start at 6
up / down 2, right / left 5 start at -9
Solve
4x - 3y = 18
y = -2
What is (3,-2)
Solve
-4x + 8y = 20
4x - 2y = -30
What is (7,-1)
Write the following system of equations in slope intercept form
3x + 5y = 20
-2x -4y = -12
What is
y = -3/5x + 4
y = 1/2x + 4
Solve
-3x + 6y = -12
-5x + y = -2
What is (0,-2)
Solve
-2x - 9y = -25
-4x - 9y = -23
What is (-1,3)
Wacky Wizards offers beginner and advanced magic classes. The beginner class costs 6 more than half the cost of the advanced class. Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system of equations
b = 1/2a + 6
7b + 11a = $390
Solve
x + 3y = 1
-3x - 3y = -15
What is (7,-2)
Solve
5x + y = 9
10x - 7y = -18
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations
j + p = 5
2.50j + 3p = 14
Solve
2x + y = 20
6x - 5y = 12
What is (7,6)
Solve
5x + 4y = -14
3x + 6y = 6
What is (-6,4)