VOCABULARY
This indicates a location on a coordinate plane (x, y).
What is an ordered pair?
The system has this many solutions.
y = 3x + 8
y = -5x - 12
Solve.
y = x - 20
x + y = 84
What is (52, 32) for one solution?
Solve.
3x + 2y = -1
-3x - 4y = 5
One number is 16 more than another number.
The two numbers have a sum of 120.
Write a system to find the two numbers.
What is
y = 16 + x
y + x = 120
This is another word for "answer."
What is solution?
The system has this many solutions.
-9x + 8 = y
y = -9x - 3
What is none?
Solve.
y = 4x - 13
2x + y = 2
What is (2.5, -3) for one solution?
Solve.
20 = 6x - y
10 = -3x + y
What is (10, 40) for one solution?
Beth ordered 7 pizzas for $49.50. She got some cheese and some meat-lovers. Each cheese was $6.50 and each meat-lovers was $7.50.
Write a system to find how many of each pizza she bought.
What is
c + m = 7
6.5c + 7.5m = 49.5
What is elimination?
The system has this many solutions.
y = 12x - 18
y = 3(4x - 5)
What is none?
Solve.
3x + y = 4
y = -3x + 4
What is 4 = 4 for infinite solutions?
Solve.
-7x = 5y - 15
-4x = -5y + 48
David bought 4.5 pounds of candy for $6.13. He bought Swedish fish and mini snickers. The fish cost $1.25 per pound and the snickers cost $1.50 per pound.
Write a system to find how many pounds of each he bought.
What is
f + m = 4.5
1.25f + 1.5m = 6.13
A method used to solve systems of equations when you replace one variable with an expression.
What is substitution?
The system has this many solutions.
y = 8 - 11x
-11x + y = 8
What is one?
Solve.
4y - 14 = 6x
x = 2y + 3
What is (-5, -4) for one solution?
Solve.
-6x + 3y = 12
2x - y = 7
What is 0 != 33 for no solution?
Two gym memberships are compared.
Ace Gym: $100 registration fee and $30 per month
Bold Gym: $0 registration fee and $50 per month
Write a system to see at what month the memberships will cost the same.
What is
c = 100 + 30m
c = 50m
Pi is this type of number.
What is irrational?
The system has this many solutions.
y = 2(x + 2.5)
1/2 (4x + 10) = y
What is infinite?
Solve.
y - 2 = x
y + 1 = -4x
What is (-0.6, 1.4) for one solution?
Solve.
2x = 2y + 8
3x = 8y + 14
What is (3.6, -0.4) for one solution?
Best Buy has 2 PS5 bundle deals:
Deal A: $500 system and $10 a month for online play
Deal B: $300 system and $20 a month for online play
Write a system to see after how many months you will have spent the same amount.
What is
c = 500 + 10m
c = 300 + 20m