Solutions
Solving Systems Algebraically
Solve by Graphing
Word Problems
Systems of Inequalities
Random
100
Is the ordered pair (-1,2) a solution of x-y=-3 and 2x+y=0?
YES
100
Solve the following systems of equation ALGEBRAICALLY:
y=2x+5
y=3x+9
Solution: (-4,-3)
100
What is the solution of this systems of equations?
(2,2)
100
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.
y=15x+20
y=10x+40
100
State a point in the solution set of the following system of inequalities
Answers may vary: Any point in the red AND blue area.
100
What does it mean if the inequality uses a > or < in a system of inequalities?
The line drawn will be dashed/dotted and a solution cannot fall on this line.
200
Is the ordered pair (-1,-1) a solution of x=2y+1 and y=x?
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
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
B) D+Q=30
.10D +.25Q =4.80
200
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)
200
Write the equation in numbers and symbols and then solve.
five less then two times the sum of a number and two is equal to three times the sum of a number and one
2(x + 2) - 5 = 3(x + 1)
x = -4
300
What is the value of x in the solution of the system of equations 3x+ 2y = 12 and 5x -2y= 4?
2
300
Solve the following systems of equations ALGEBRAICALLY:
3x+2y=4
4x+3y=7
(-2,5)
300
Graph the following systems of inequalities and identify the solution
y=5x-8
2y-10x=-16
INFINITE SOLUTIONS
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 club is running a lemonade stand to raise money. A store donated cans of lemonade and bottles of water. Lemonade will sell for $2 each and water will sell for $1.50 each. The club needs to raise at least $500. The students can accept a max of 360 cans and bottles. Write a system of inequalities to represent this situation.
2x+1.5y>=500
x+y<=360
300
Five times a number minus 3 times a second number is 17. The second number is 8 less than 2 times the first number. What is the second number?
What is 6
400
If a+3b=13 and a+b=5, the value of b is...
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
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
400
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.
400
Condos in Cary go up in value by 10% each year. If Laura's condo is now worth $63,000, what will it be worth in 3 years?
$83,853