Solutions
Solving Systems Algebraically
Solve by Graphing
Word Problems
Mystery
100
Is the ordered pair (-1,2) a solution?
y = 3x + 5
3x+4y=5
YES
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
Find one value for x.
xy = 72
x + y = 17
x = 8 or 9
200
Is the ordered pair (5, -1) a solution?
x=-2y+3
y=x-4
NO
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 day in April is the PSAT?
19th
300
What is the value of x in the solution of the system of equations?
3x+ 2y = 12
5x -2y= 4?
2
300
Solve the following systems of equations ALGEBRAICALLY:
-7x-4y=-4
-9x-y=-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
The sum of two numbers is 10. The difference of the same two numbers is 7. What are the two numbers?
8.5 and 1.5
400
If a+3b=13 and a+b=5 , what is the value of b?
b = 4
400
Solve the following systems of equations ALGEBRAICALLY:
3x+2y=4
4x+3y=7
Solution= (-2,5)
400
Graph the following systems of equations and identify the solution.
4x-2y=10
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?
9 lilies and 4 tulips
400
Taft High School has 7 Administrators. This consists of 1 principal and 6 assistant principals. Can you name 4 out of the 7 administrators?
Mr. Grishaber (Principal)
Mr. Glowacz (AP - TFA)
Mrs. Hess (AP - TFA)
Mr. Flores (AP - VC)
Mr. Levins (AP - VC)
Mrs. Greenblatt (AP - VC)
Mr. Kuzma (AP - VC)
500
Find the value of k so that the system of equations below has no solution:
4x-8y=-4
kx-28y=-13
k = 14
500
Solve the following systems of equations ALGEBRAICALLY:
0.3x+0.2y=0.4
0.5x+0.4y=0.7
Solution =
(1, 1/2)
500
Graph the following systems of equations and identify the solution.
7x+y=-3
-14x-2y=6
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
Find 3x-y if
8x+8y=24
x+2y=8
-11 because x = -2 and y = 5