Systems of Inequalities
How would you graph the given inequality?
y > 2x + 1
(dotted or solid line? shade above or below?)
Shade above, dotted line
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is II
How many solutions does the system of equations have?
x + y = -6
x - y = -10
1 solution
Solve for x.
x + c = 4
x = 4 - c
The sum of two numbers is 104. Their difference is 68. Write a system of equations to represent them.
x + y = 104
x - y = 68
Describe how you would shade y < 3x + 4
Dotted line, shade below
y = 3x - 2
y = -x - 2
How many solutions does the system of equations have?
3x + 2y = 5
2y + 3x = 5
Solve for r.
ar = t
r = t/a
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. Write a system of equations to represent the scenario.
6s + 8h = 700
9s + 6h = 660
The solution to the system y < x + 2 and x > 3
is in.... (select all that apply)
Q 1
Q 2
Q 3
Q 4
Q1 & Q4
y = -3
x = 5
How many solutions?
y = 0.5x + 7
y = 0.5x - 7
No solution!
y - p = 0
y = p
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. Write a system of equations.
5x + 7.5y = 3500
x + y = 600
Is (3, -4) a solution to
3x - y > 13
2x + y < 4
No
y = (1/3)x - 3
2x - y = 8
The solution to the system of equations is...
2x - 4y = 12
-8x + 16y = -48
A) (2, 4)
B) Any point that satisfies 2x - 4y = 12
C) No solution
D) (-8, 10)
B) Any point that satisfies 2x - 4y = 12
Solve for f.
f / p = 7
f = 7p
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. Write a system of equations for the scenario.
3x + 9y = 75
8x + 5y = 67
What quadrant(s) is the solution to the system in?
5x + y < 4
y < 2x + 2
Q1, Q2, Q3, Q4
y - 3x = 3
y = 3x - 2
The solution to the system:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
looks like....
A) Parallel Lines
B) 1 line
C) 2 lines that intersect at one point
D) A smiley face =)
C) 2 lines that intersect at one point
Solve for x.
3x + y = 5
x = (5-y)/3
Let x be the number of oranges sold for $2.50 and y be the number of apples sold for $1.25.
2.5x + 1.25y = 300
x + y = 175
The solution is (65, 110). What does it mean?