Solutions
Solving Systems Algebraically
Solve by Graphing
Word Problems
Systems of Inequalities
200
Is the ordered pair (-1,2) a solution of x-y=-3 and 2x+y=0?
YES
200
Solve the following systems of equation ALGEBRAICALLY:
y=2x+5
y=3x+9
Solution: (-4,-3)
200
What is the solution of this systems of equations?
(2,2)
200
Leslie joins a fitness club that has a membership fee of $20 plus $15 per month. Rashad'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
State a point in the solution set of the following system of inequalities
Answers may vary: Any point in the red AND blue area.
300
Is the ordered pair (-1,-1) a solution of x=2y+1 and y=x?
YES
300
Solve the following system of equations ALGEBRAICALLY:
y=x+6
x+2y=6
Solution: (-2,4)
300
How many solutions does this systems of equations have?
NO SOLUTION
300
Lizzy 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
300
Which ordered pair is in the solution set of the following system of linear inequalities?
y < 2x + 2
y ≥ −x − 1
1) (0,3)
2) (2,0)
3) (−1, 0)
4) (−1, −4)
2) (2,0)
400
What is the value of x in the solution of the system of equations 3x+ 2y = 12 and 5x -2y= 4?
2
400
Solve the following systems of equations ALGEBRAICALLY:
-7x-4y=-4
-9x-y=-30
(4,-6)
400
Graph the following systems of equations and identify the solution.
4x-2y=10
y=-2x-1
Solution:(1,-3)
400
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.
400
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 at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles. Write a system of inequalities that can be used to represent this situation.
2x+1.5y >= 500
x+y<= 360
500
If a+3b=13 and a+b=5, the value of b is...
4
500
Solve the following systems of equations ALGEBRAICALLY:
3x+2y=4
4x+3y=7
Solution= (-2,5)
500
Sketch the solution to the linear inequality:
y>=2x+3
y>-1/2x-2
500
Sally spent $14.85 to by 13 flowers. She bought lilies, which cost $1.25 and tulips, which cost $0.90 each. How many of each flower did sally buy?
9 lilies and 4 tulips
500
Graph the following systems of inequalities and determine if the point (2,-1) is in the solution set of the system:
y>2x-5
y<=-x+1
It is not in the solution set, one of the lines is dashed.