Solving Using Graphs
Solving Using Substitution
Solving Using Elimination
Linear Inequalities
Definitions/Word Problems
100
What is the solution of the system?
(1,1)
100
How many solutions does this system have? y = 4x - 9 y - 4x = 6
No solution- parallel lines
100
What is the solution of the system? Use elimination. 2x - 3y = -12 3x -2y = 2
(6, 8)
100
Is the ordered pair a solution of the linear inequality? 3y > 5x -12; (-6, 1)
yes
100
What method of solving do you use when one equation is already solved for one of the variables, or when it is easy to solve for one of the variables?
Substitution
200
What is the solution: 3y=x - 2 -6y=-2x + 4
Infinitely many solutions
200
What is the solution of the system using substitution? y= 5x x+y= 12
(2, 10)
200
What is the solution of the system? Use elimination. -2x + 12y = -30 3x - 4y = 17
(3, -2)
200
What is the inequality that represents the graph?
y > -4/3 + 5
200
A carpenter makes and sells rocking chairs. The material for each chair costs $22.50. The chairs sell for $75 each. If the carpenter spends $420 on advertising, how many chairs must she sell to break even?
8
300
Find the solution by graphing: y= 1/2x + 7 y= 2/3x + 3
(4, 9)
300
What is the solution to the system using substitution? 7x - 3y = 2 -2y + x = -6
(2, 4)
300
If you add two equations in two variables and the sum is an equation in one variable, what method are you using to solve the system?
Elimination
300
Is the ordered pair a solution of the system? y > 2x + 4 y < 3x + 7 (2, 12)
Yes
300
What method should you use to solve is you want a visual display of the equations, or when to estimate a solution?
Graphing
400
What is the solution of two lines that have the same slope?
No solution- parallel lines
400
The school bookstore sells T-shirts for $8 and sweatshirts for $12. Last month, the bookstore sold 37 T-shirts and sweatshirts for a total of $376. How many T-shirts were sold?
17
400
How many solutions foes the system have? 12x - 8y = 20 3x - 2y = 5
infinitely many
400
What is the graph of the inequality? y < x - 1
Ms. Randazzo checks :)
400
Dylan is filling a 20- gallon tank and a 30- gallon tank for his fish display. The 20- gallon tank contains 4 gallons of water and is filled at a constant rate of 10 gallons per hour. The 30- gallon tank contains 13 gallons of water and is fulled at a constant rate of 7 gallons per hour. When will the two tanks have the same amount of water?
x- number of hrs y- number of gallons (3, 34) Solution is not viable since neither tank can hold 34 gallons of water. So the tanks never have the same amount of water.
500
Solve the system by graphing: 2x - y = -5 -2x - y = -1
(-1, 3)
500
True or False? Explain. When solving a system using substitution, if you obtain an identity, then the system has no solution.
False- it has infinitely many solutions
500
The theater club sells a total of 101 tickets to its first play. A student ticket costs $1. An adult ticket costs $2.50. Total ticket sales are $164. How many student tickets were sold?
59
500
What is the graph of the system? y> or equal to 2x - 1 x + y < 2
Ms. Randazzo checks :)
500
How many solutions does a system have if the lines have the same slope and y- intercept?
infinitely many solutions
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