Systems of Inequalities
Solving by Graphing
Solving by Elimination
Solving by Substitution
Systems in 3 Variables
100
When graphing y > 4x - 3, the line will be dashed / solid and you will shade above / below the line.
What is dashed and above?
100
The quadrant in which the solution to the following system lies: y = x + 4 .......... y = 2x + 5
What is II
100
The solution to the system of equations: r + s = -6 .......... r - s = -10
What is (-8, 2)?
100
The solution to the system: x = 4y .......... 2x + 3y = 22
What is (8, 2)
100
What do you call the answer of a system of equations in three variables?
What is an ordered triple?
200
When graphing y ≤ -2x + 3, the line will be dashed / solid and you will shade above / below the line.
What is solid and below?
200
The solution to the system of equations: y = 3x - 2 .......... y = -x - 2
What is (0, -2)?
200
The solution to the system: 8a + 5b = 9 .......... 2a - 5b = -4
What is (0.5, 1)?
200
The solution to the system: y = 2x - 10 .......... y + 4x = 8
What is (3, -4)
200
What two pairs of equations would you use to eliminate the variable y in the following system of equations? A. x - 3y + 3z = -4 B. 2x + 3y - z = 16 C. 4x - 3y - z = 19
What is A & B and B & C?
300
Which point is a solution to the system of inequalities y > -x - 1 and y ≤ -4x - 2.............. A. (1, 0) B. (-2, 1) C. (-2, 4) D. None of the above
What is C. (-2, 4)?
300
The solution to the system of equations: y = -3 .......... x = 5
What is (5, -3)
300
The solution to the system: 3x + 7y = 14 .......... 2x + 7y = 21
What is (-7, 5)?
300
The solution to the system: y = 3x - 1 .......... 7x + 2y = 37
What is (3, 8)
300
What is your new system of equations after you eliminate z from the following system? A. 4x + 2y - 2z = -16 B. 4x - y + 2z = -3 C. -3x + y + 2z = 5
What is 8x + y = -19 and x + 3y = -11?
400
Which point is a solution to the system of equations y < 2x - 4 and y > 2x + 3? .......... A. (0, 0) B. (5, -5) C. (0, -4) D. None of the above
What is D. None of the above?
400
The solution to the system of equations: y = (1/3)x - 3 .......... 2x - y = 8
What is (3, -2)
400
The solution to the system: 2a - 4b = 12 .......... -8a + 16b = -48
What is infinitely many solutions?
400
The solution to the system: 3s - 2t = 4 .......... t = 2s - 1
What is (-2, -5)
400
If y = -1 and z = -2, find x for the following system of equations: x + 5y + 5z = -10 .......... x + y + z = 2 .......... x + 2y + 3z = -3
What is 5?
500
Create a system of inequalities that will have an infinite number of solutions.
Answers will vary.
500
The solution to the system of equations: y - 3x = 3 .......... y = 3x - 2
What is no solution?
500
The solution to the system: 2x - 3y = 8 .......... 3x - 7y = 7
What is (7, 2)?
500
The solution to the system: t + u = 12 .......... t = (1/3)u
What is (3, 9)?
500
Solve the following system of equations: 4x - 4y + 4z = -4 .......... 4x + y - 2z = 5 .......... -3x - 3y - 4z = -16
What is (1, 3, 1)?