Solutions
Solving Systems Algebraically
Solve by Graphing
Word Problems
Mystery
100
What is the solution to the system.
(-2,0)
100
What is the solution of this systems of equations?
y=2x+5
y=3x+9
Solution: (-4,-3)
100
What is the solution of this systems of equations?
Solution = (2,2)
100
Celia has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?
A) D+Q=4.80
.10D +.25Q =30
B) D+Q=30
.10D +.25Q =4.80
C) D+Q=30
.25D +.10Q =4.80
D) D+Q=4.80
.25D +.10Q =30
B) D+Q=30
.10D +.25Q =4.80
100
How many siblings do I have?
1 brother
1 sister
200
Is the ordered pair (-1,2) a solution?
y = 3x + 5
3x+4y=5
YES
200
Solve the following system of equations ALGEBRAICALLY:
y=x+6
x+2y=6
Solution: (-2,4)
200
How many solutions does this systems of equations have?
NO SOLUTION
200
Mac joins a fitness club that has a membership fee of $20 plus $15 per month. Uri's club has a fee of $40 and charges $10 per month. Write a systems of equations to represent this situation. DO NOT SOLVE.
y=15x+20
y=10x+40
200
What month is Ms. Boerger's Birthday?
September
300
What is the equation of the BLUE line?
y=x-4
300
Solve the following systems of equations ALGEBRAICALLY:
-7x-4y=-4
y=-9x+30
Solution = (4,-6)
300
Graph the following systems of equations and identify the solution.
y=1/2x+1
y=-3/4x-4
Solution = (-4, -1)
300
Taxi company A charges $4 plus $0.50 per mile. Taxi company B charges $5 plus $0.25 per mile. Write a system of equations that could be used to represent this situation. After how many miles will the cost be the same for both taxi cabs?
y=.50x+4
y=0.25x+5
After 4 miles the cost will be the same.
300
What is Ms. Boerger's Favorite College Basketball Team?
Xavier University
400
Using this work, solve for y. What is the ordered pair of the solution?
y=3 Solution: (4,3)
400
Solve the following systems of equations ALGEBRAICALLY:
y=-3/2x+2
4x+3y=7
Solution= (-2,5)
400
Graph the following systems of equations and identify the solution.
y=2x-5
y=-2x-1
Solution = (1,-3)
400
Cass spent $14.85 to buy 13 flowers. She bought lilies, which cost $1.25 and tulips, which cost $0.90 each. How many of each flower did Cass buy?
x+y=13
1.25x+.09y=14.85
400
My favorite candy.
Sprees
500
Find the value of k so that the system of equations below has no solution:
y=2x+3
y=kx+3
k = 2
500
State the type of solution
2x+y=18
y=-2x+18
Solution =
Many Solutions
500
Graph the following systems of equations and identify the solution.
7x+y=-3
y=-7x-3
Solution = Infinitely Many Solutions
500
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise $570 to cover the cost of renting costumes. The students will accept a total of 360 cans and bottles. Write a system of that can be used to represent this situation then solve it.
System:
2x + 1.5y = 570
x + y = 360
Solution: 60 cans of lemonade, 300 bottles of water
500
First year I started working at Turkey Foot.
2010