Determine the number of solutions for the given system of equations.
Solve by Graphing
Solve by Substitution
Solve by Elimination
Word Problems
100
Solve the systems of equations:
3x + 5y = 2
3x + 5y = 7
No Solution
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
The difference of two numbers is 3. Their sum is 13. Find the numbers.
x=8
y=5
200
How many solutions are there?
No Solutions
200
Solve the systems of linear equations by graphing:
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
200
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Van: 8
Bus: 22
300
How many solutions are there?
Infinitely Many Solutions
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
300
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 5 points each. How many multiple choice questions are there on the test?
There are ___ multiple choice questions.
400
Solve the systems of equations:
-6x - 10y = 4
6x + 10y = 0
No Solution
400
Solve by graphing:
x < 4
y is greater than or equal to -7
Show teacher.
400
y = -2
4x - 3y = 18
(3,-2)
400
-4x - 2y = 14
-10x + 7y = -25
(-1,-5)
400
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
small box of oranges: $7
large box of oranges: $13
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
x + y > 5 (greater than or equal)
2x - y < 4
500
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
500
3 + 2x - y = 0
-3 - 7y = 10x
(-1,1)
500
Marsha is buying plants and soil for her garden. The soil costs $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of inequalities to model the situation, display the graph and give one possible solution.
4x+10y < 100 *less than or equal
x>5
(5,7)