How many Solutions?
Solve by Graphing
Solve Systems
Equations Real World
Inequalities Real World
100
Is there one solution, no solutions, or infinitely many solutions for the system of linear equations below?
One Solution (-4,-6)
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Find the value of two numbers if their sum is 12 and their difference is 4
x+y = 12
x - y = 4
100
The soccer clubs are trying to raise money for new uniforms. The boys’ soccer club is selling cars for $2 per piece and the girls’ soccer club is selling candles for $4. They must raise more than $800. They expect to sell at least 100 items combined.
2b + 4g > 800
b + g >= 100
200
Is there one solution, no solution, or infinitely many solutions for the system of linear equations below?
y = 3x - 5
y = 3x + 7
No Solution
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
The sum of two numbers is 30 and their difference is 12. Find the two numbers.
x + y = 30
x - y = 12
200
You can work at most 25 hours next week. You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour.
b + t <= 25
7.50b + 6t >= 85
300
Is there one solution, no solution, or infinitely many solutions for the system of linear equations below?
y = (-5/3)x + 3
y = (1/3)x - 3
One Solution
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
3x + 1y = 38
3x + 2y = 52
300
Mandy is buying plants and soil for a flowerbed for her mom. The soil costs $5 per bag and the plants cost $12 each. She wants to buy at least 6 plants and can spend no more than $100.
5s + 12p <= 100
p >=6
400
Is there one solution, no solution, or infinitely many solutions for the system of linear equations below?
y = 3x + 9
4x - 2y = 18
One Solution
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-x - 8y = -22
3x + 4y = -14
(-10, 4)
400
Mrs. Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of questions are in there?
3m + 4w = 100
m + w = 38
400
Skate Land charges a $50 flat fee for a birthday party rental and $4 for each person. Joann has no more than $100 to budget for her party. She also wants to invite more than 10 people.
50 + 4x <= 100
x > 10
500
Is there one solution, no solution, or infinitely many solutions for the system of linear equations below?
18x - 4y = 12
-9x + 2y = -6
Infinitely Many Solutions
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-5x + 2y = -12
4x - 3y = 11
(2, -1)
500
Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold?
3.50a + 2.50c = 937.50
a + c = 321
500
Jason is buying wings and hot dogs for a party. One package of wings costs $8. Hot dogs cost $5 per pound. He must spend less than $40. Jason knows he will be buying at least 4 pound of hot dogs.
8w + 5h < 40
h >=4