Terminology
An independent system has this many solutions.
What is a finite number?
Question 4
What is (3, -1)?
Question 12
What is (2, 8)?
Question 24
What is no solution?
Question 41: The school that Arjun goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 8 senior citizen tickets and 2 child tickets for a total of $62. The school took in $80 the second day by selling 8 senior citizen tickets and 8 child tickets. This is the price of a senior citizen ticket and the price of a child ticket.
What is, senior citizen: $7 and child: $3
A dependent system has this many solutions.
What is an infinite amount?
Question 5
What is (1, 4)?
Question 14
What (1, -5)?
Question 27
What is (5, 6)?
Question 42: Micaela and Shawna each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Micaela spent $58 on 5 daylilies and 1 pot of ivy. Shawna spent $90 on 5 daylilies and 5 pots of ivy. This is the cost of one daylily and the cost of one pot of ivy.
What is daylily $10, ivy $8?
The number of solutions this system has.
3x+10y=9
98x-6y=17
What is 1?
Question 8
What is (4, -1)?
Question 18
What is an infinite number of solutions?
Question 31
What is an infinite number of solutions?
Question 43: Gabriella and Scott are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Gabriella sold 4 cherry pies and 1 pumpkin pie for a total of $64. Scott sold 4 cherry pies and 13 pumpkin pies for a total of $256. This is the cost each of one cherry pie and one pumpkin pie.
What is cherry pie: $12, pumpkin pie: $16?
An inconsistent system looks look like graphically.
What are parallel lines?
Question 10
What is (-4, -4)?
Question 20
What is (-4, 4)?
Question 33
What is (2, -1)?
Question 45: Shawna and Mark each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Shawna spent $16 on 1 rose bush and 6 bunches of ornamental grass. Mark spent $36 on 4 rose bushes and 10 bunches of ornamental grass. This is the cost of one rose bush and the cost of one bunch of ornamental grass?
What is rose bush: $4, ornamental grass: $2?
The of k makes the following system dependent.
x - 7y = 3
-2x + ky = -6
What is k=14?
Question 11
What is (4, 4)?
Question 23
What is (3, -2)?
Question 39
What is (-3, -3)?
Question 46: Jessica and Mike each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Jessica spent $159 on 6 ft2 of grass sod and 13 pots of ivy. Mike spent $192 on 12 ft2 of grass sod and 12 pots of ivy. This is the cost of one ft2 of grass sod and the cost of one pot of ivy.
What is $7 for a ft2 of grass sod, and $9 for a pot of ivy?