7-1 Solving Systems by Graphing
7-2 Solving Systems Using Substitution
7-3 Solving Systems Using Elimination
7-5 Linear Inequalities
7-6 Systems of Linear Inequalities
100
Is (2, 5) a solution of the following system? Explain why or why not.
y = 2x+1
2x-y=8
No, it is not a solution because (2, 5) only satisfies one equation.
100
Solve the system by substitution. What is the solution? (Tell me the ordered pair)
y = 3x+11
y=-2x+1
(-2, 5)
100
Solve the system using elimination. What is the solution? (Tell me the ordered pair)
x+y=10
x-y=2
(6, 4)
100
Is (0, 0) a solution to the following inequality? Explain your answer.
y>=2x-1
Yes, (0, 0) falls within the shaded region of the inequality, meaning it is a solution.
100
Is (0, 0) a solution to the following system of inequalities? Explain your answer.
x-y<10
x+y<=8
Yes, (0, 0) falls within the shaded region of both inequalities, meaning it is a solution.
200
Solve the system by graphing. What is the solution? (Tell me the ordered pair)
y=3x-1
y=-x+3
(1, 2)
200
Solve the system by substitution. What is the solution? (Tell me the ordered pair)
y = 5x-8
5y = 2x+6
(2, 2)
200
Solve the system using elimination. What is the solution? (Tell me the ordered pair)
2x-3y=5
x+2y=-1
(1, -1)
200
Is (0, 0) a solution to the following inequality? Explain your answer.
y> -1/4x-2
Yes, (0, 0) falls within the shaded region of the inequality, meaning it is a solution.
200
Is (0, 0) a solution to the following system of inequalities? Explain your answer.
y<5x
y>=0
Yes, (1, 2) falls within the shaded region of both inequalities, meaning it is a solution.
300
Solve the system by graphing. What is the solution? (Tell me the ordered pair)
-x+2y=-2
y=1/2x+3
There is no solution, the lines are parallel.
300
Solve the system by substitution. What is the solution? (Tell me the ordered pair)
4x-y=12
-6x+5y=-3
(-4 1/2, -6)
300
Solve the system using elimination. What is the solution? (Tell me the ordered pair)
y=-3x+5
y=-4x-1
(-6, 23)
300
Graph
y<=0.5x+6
300
Solve the system by graphing
y<=x-3
y>x-7
400
Solve the system by graphing. What is the solution? (Tell me the ordered pair)
x-y=-3
3x+y=-1
(-1, 2)
400
Solve the system using elimination. What is the solution? (Tell me the ordered pair)
x+4y=12
2x-3y=6
(5 5/11, 1 7/11)
400
Graph
y<-3x+8
No, because we have a dashed line (<) and not a solid line (<), point (0, 8) is not a solution
400
Solve the system by graphing.
y>=-4x+1
y<=5/2x-9/2
500
There are 24 questions on a test. Each question is either worth 4 points or 5 points. The total points is 100.
a. Write a system of equations to find the number of each type of question
b. Solve the system that you just wrote by substitution
c. How many questions of each type are on the test?
a.
x+y=24
4x+5y=100
b. (20, 4)
c. 20 4-point questions, 4 5-point questions