Inequalities
Solving with Any Method
Solving by Elimination
Solving by Substitution
Word Problems
100
True or False: A solution to a system of inequalities will be outside of the shaded area.
False
100
The solution to the system of equations:
y = x + 4
y = 2x + 5
What is (-1, 3)?
100
The solution to the system of equations:
r + s = -6
r - s = -10
What is (-8, 2)?
100
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
100
I bought 3 sodas and 1 chip for $5. You bought 3 sodas and 3 chips for $9. How much are chips?
What is $2?
200
True or False: 'Greater than or equal to' will result in a solid line.
True
200
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
200
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
200
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)
200
A health food store mixes granola that costs them $4 per pound and raisins that cost them $2 per pound together to make 25 pounds of raisin granola. Write a system of equations to represent how many pounds of granola (x) and raisins (y) should they include if they want the mixture to cost them a total of $80.
x + y = 25
4x + 2y = 80
300
Is the point a solution to the system?
No! The point lies on the DASHED line, so you cannot include it in the solution!
300
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
300
The solution to the system:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
300
The solution to the system
y = 3x - 1
7x + 2y = 37
What is (3, 8)
300
Billy has a jar of quarters and nickels. There are 23 coins in the jar. The value of the coins is $2.55. How many quarters does he have? How many nickels does he have?
There are 7 quarters and 16 nickels.
400
Is (4, 1) a solution to the system of inequalities below?
y < 2x + 5
2x - y ≤ 3
Nope!
400
The solution to the system of equations
y = (1/3)x - 3
2x - y = 8
What is (3, -2)
400
The solution to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
400
The solution to the system
3s - 2t = 4
t = 2s - 1
What is (-2, -5)
400
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. What was the cost of one shirt?
What is $30?
500
Is (0,0) a solution to the system of inequalities below?
No! The point (0,0) lies outside of the shaded region.
500
The solution to the system of equations:
y - 3x = 3
y = 3x - 2
What is no solution?
500
The solution to the system:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
What is (24, 8)
500
The solution to the system
t + u = 12
t = (1/3)u
What is (3, 9)?
500
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.
What is 400 advanced tickets, 200 game-day tickets?