Solve by Graphing
Solve by Substitution or Elimination
Word Problems & Random
Linear Inequalities
100
What is the solution?
(-1,1)
100
14x + 2y = 26
-14x - 6y = -50
(1,6)
100
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
WRITE THE EQUATIONS - do not SOLVE.
3s + 1c = 38
3s + 2c = 52
100
< and > indicate that you should draw what kind of line?
Dotted
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
WRITE THE EQUATIONS - DO NOT SOLVE
8v + 8b = 240
4v + 1b = 54
200
Greater than and greater than or equal to symbol mean you shade _______ your inequality
above
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
-3x - 5y = 2
3x + 5y = 7
No Solution
300
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
The Answer is v = 18, b = 59. What does that mean?
18 students can fit in a van and 59 students can fit on a bus.
300
What is the rule that we have to remember when multiplying or dividing by a negative number with inequalities?
You have to flip the sign
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
The equations are
3s + 9c = 75 and
8s + 5c = 67
Check to see if this solution is correct. s = 10 and c = 5
No
400
Is the graph of the systems of equations correct?
Yes
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
When is it best to use substitution?
When is it best to use elimination?
Answers may vary
500
Give a solution to the system of inequalities graphed below:
Answers vary