Graphing
How many solutions exist in the following system of equations:
y = -2x - 5
y = -2x + 3
What is none (or zero)?
Use substitution to solve the system of equations.
y = 2x + 1
3x + y = -9
What is (-2, -3)?
Use elimination to solve the system of equations.
4x + 6y = 32
3x - 6y = 3
What is (5, 2)?
A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single admissions for $660.50. How many memberships and how many single admissions were sold?
What is 12 memberships and 38 single admissions?
Graph the system of equations to identify the solution.
y = -3x + 10
y = x - 2
What is (3, 1) ?
Use substitution to solve the system of equations.
2x + 5y = -1
y = 3x + 10
What is (-3, 1)?
Use elimination to solve the system of equations.
2t + 5r = 6
9r + 2t = 22
What is (4, -7)?
A field goal is 3 points and the extra point after a touchdown is 1 point. In the 2016 season, Adam Vinatieri of the Indiana Colts made a total of 71 field goals and extra points for 125 points. Find the number of field goals and extra points that he made.
What is 27 field goals and 44 extra points?
Graph the system of equations and determine the number of solutions that it has. If it has one solution, name it.
y = -2x - 3
6x + 3y = -9
What is infinite (or an infinite number of solutions)?
Use substitution to solve the system of equations.
y = 2x - 4
-6x + 3y = -12
What is infinite (or infinite number of solutions)?
Use elimination to solve the system of equations.
-7y + 6x = -26
6x + 5y = 10
What is (-5/6, 3)?
Negative three times one number plus five times another number is -11. Three times the first number plus seven times the other number is -1. Find the numbers.
What is 2 and -1 (or 2, -1)?
Graph the system of equations and determine the number of solutions that it has. If it has one solution, name it.
4x - 6y = 12
-2x + 3y = -6
What is infinite (or infinitely many)?
Use substitution to solve the system of equations.
3x + y = -5
6x + 2y = 10
What is no solution?
Use elimination to solve the system of equations.
8x + 3y = -7
7x + 2y = -3
What is (1, -5)?
A store sold a total of 125 car stereo systems and speakers in one week. The stereo systems sold for $104.95, and the speakers sold for $18.95. The sales from these two items totaled $6,926.75. How many of each item were sold?
What is 53 car stereo systems and 72 speakers?
Graph the system of equations to find the solution.
2x + 3y = 5
3x + 4y = 6
4x + 5y = 7
What is (-2, 3)?
Use substitution to solve the system of equations.
2x + y = 4
-2x + y = -4
What is (2,0)?
Use elimination to solve the system of equations.
-4x + 2y = 0
10x + 3y = 8
What is (1/2, 1)?
Naresh rode 20 miles last week and plans to ride 35 miles per week. Diego rode 50 miles last week and plans to ride 25 miles per week. Predict the week in which Naresh and Diego will have ridden the same number of miles.
What is 3 (or week 3)?