Definition
Solving Equations
Writing System of Equations
Solving Inequalities
Writing System of Inequalities
100
When we have two or more linear equations
System of Equations
100
Fatima
100
3s + 1c = 38
3s + 2c = 52
100
100
The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound. Write the inequality for this question.
x+y \ge 5
3x +2y \le 300
200
A set of two or more inequalities
System of Inequalities
200
200
D
200
D
200
A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280.
Let x = the number of $10 tickets
Let y = the number of $20 tickets
What system of inequalities models the situation?
x+y \ge 20
10x+20y \le 280
300
1. Less than
2. Greater than
300
$4.25
300
A
300
A
300
x= free throws y= jump shots
Solution: May vary. (2 free throws ; 2 jump shots)
1x+2y le30
400
1. Less than or equal to
2. Greater than or equal to
400
35 t-shirts
400
A drummer and guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Write a system of equations that models this situation if the drummer wrote d songs and the guitarist wrote g songs?
g=2d-8
g+d=46
400
Tell whether the ordered pair
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6
Yes
400
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming. Write the inequality for the description.
8x + 25y ≥ 100
x + y ≤ 14
500
For linear equations, what two things we need to make the equation.
Hint: y=mx+b
Slope & y-intercept
500
60 meters
500
y = 9.65x + 43
y = 8.40x + 58
500
C
500
Florence cannot spend more than $60 on clothes. She wants to buy jeans for $22 dollars and spend the rest on shirts. Each shirt costs $8.
a) Write an inequality to describe this situation.
b) How many shirts can she buy?
8s + 22 < 60
No more than 4 shirts