Show:
Section 1
Section 2
Section 3
Section 5
Word Problems
100
A system that has at least one solution
What is a consistent solution?
100
2x + 5y = -5 x + 3y = 3
What is (-30, 11)
100
The graph of all solutions of the system
What is a graph of a system of inequalities
100
Linear equation in three variables
What is ax + by + cz = d
100
You worked 14 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $10 per hour, and your job as a cashier pays $8 per hour. How many hours did you work at each job?
What is lifeguard: 6 hours cashier: 8 hours
200
The shape of lines on a graph with no solution
What is parallel
200
3x - 7y = 10 6x - 8y = 8
What is (-4/3,-2)
200
an example of _______: x + y <= 8 4x - y > 6
What is systems of linear inequalities
200
The planes intersect in a line or are the same plane
What is infinitely many solutions
200
In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each and acoustic guitars sold for $339 each. How many of each type of guitar were sold?
What is 5 acoustic, 4 electric
300
The shape of lines on a graph that have exactly one solution
What is intersected lines
300
x - 2y = 4 3x - 6y = 8
What is no solution
300
-x + y < -3 -x + y > 4
What is no solution
300
The planes intersect in a single point
What is exactly one solution
300
A company produces gas mowers and electric mowers at two factories. The company has orders for 2300 gas mowers and 1400 electric mowers. The production capacity of each factory (in mowers per week): Gas Mowers: Factory A- 200 Factory B- 400 Electric Mowers : Factory A- 100 Factory B- 300 Describe how the company can fill its orders by operating the factories simultaneously at full capacity.
What is The company can fill its orders by operating Factory A for 5 weeks and Factory B for 3 weeks
400
The shape of a line with infinitely many solutions
What is a straight line
400
3x - y = 2 6x + 3y = 14
What is (4/3,2)
400
4x - 4y >= -16 -x + 2y >= -4
What is a graph with two lines= (-4,4); y=1/2x-2 and the shading is in between the two
400
The planes have no common point of intersection
What is no solution
400
One evening, 76 people gathered to play doubles and singles table tennis. There were 26 games in progress at one time. A doubles game requires four people at one time and a singles game requires two. How many games of each kind were in progress at one time if all 76 people were playing?
What is 12 doubles games; 14 singles games
500
A system with no solution
What is an inconsistent solution
500
3x + 2y = 6 x - 4y =-12
What is (0,3)
500
x <= 2 y <= 5
What is a graph with a vertical line and horizontal line at 2 and 5; shade on the left of vertical line
500
4x + 2y + 3z = 1 2x - 3y + 5z = -14 6x - y + 4z = -1
What is (2,1,-3)
500
A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
What is 80 pounds of peanuts; 20 pounds of cashews