Systems
Write the number of solutions to this system of equations:
3x - 8y = 20
6x - 16y = 40
Infinitely Many
Write the number of solutions to this system of equations:
9y = 27x + 30
y = 1/3x - 15
No Solution
Write the number of solutions to this system of equations:
y = 1/2x - 6
3y = 1.5x + 18
No Solution
Is the ordered pair (3, 2) a solution to the system of equations?
4x - 9y = -6
-7x + 5y = -31
No - not a solution.
Is the ordered pair (-4, 1) a solution to the system of equations?
5x - 3y = -17
-8x + 2y = 34
No - not a solution.
Is the ordered pair (8, -3) a solution to the system of equations?
6x - 2y = 54
-3x + y = -27
Yes - this ordered pair is a solution.
Convert the following equation into slope-intercept form:
6y + 3x = 18
y = -1/2x + 3
Convert the following equation into slope-intercept form:
-12x + 4y = 54
y = 3x + 13.5
Convert the following equation into slope-intercept form:
-5y + 20x = 40
y = 4x - 8
Solve for the solution to the system of equations:
y = 4x - 3
y = 8x - 2
(-0.25, -4)
Solve for the solution to the system of equations:
16y = 48x + 24
-8y = 16x - 40
(0.7, 3.6)
Solve for the solution to the system of equations.
2y = -20x + 6
y = -10x - 3
No Solution.
Two students are playing a videogame where you can complete EASY TASKS worth a certain number of points and DIFFICULT TASKS worth an increased number of points.
Student 1 completes 15 EASY TASKS and 8 DIFFICULT TASKS, earning a total of 186 points.
Student 2 completes 14 EASY TASKS and 3 DIFFICULT TASKS, earning a total of 120 points.
Write and solve a system of equations to determine the value of points that each type of task earns its players.
Difficult (d) = 12
A student attends a concert and purchases merchandise for their friends and families. The price of each hat is $25.75. The price of each shirt is $42.50. The student purchases 8 items and spends a total of $289.75.
Write and solve a system of equations to determine the number of hats and shirts purchased by the student.
Shirts (s) = 5
A 7th grade class goes on a field trip to the zoo. Teachers are charged $8.35 for entry. Students are charged $17.90 for entry. A total of 60 people from this grade level attend.
Write and solve a system of equations to find the number of teachers and students attending.
Students (s) = 54