Show:
Break Even
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100
A puzzle expert wrote a new sudoko puzzle book. His initial costs are $864. Binding and packaging each book costs $.80. The price of the book is $2. Write a system of equations to represent the situation.
y= .80x+864 y=2x
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:

x + y = -6
x - y = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100
The school that Jessica goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult tickets and 4 child tickets for a total of $74. The school took in $98 on the second day by selling 7 adult tickets and 4 child tickets. Write a system of equations to represent the situation
3x+4y=74 7x+4y=98
200
A toy manufacturing company makes dolls that sell for $12. It costs $5 in labor to make each doll. The total cost for the materials is $420. How many dolls must they sell to break even?
60 Dolls
200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200
The solution to the system:

8x + 5y = 9
2x - 5y = -4

What is (0.5, 1)?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
300
A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $120. How many bikes must the store sell to break even?
40 Bikes
300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?
300
The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)
300
The school that Kristin goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 3 adult tickets and 5 child tickets for a total of $67. The school took in $76 on the second day by selling 4 adult tickets and 5 child tickets. Find the price of an adult ticket and the price of a child ticket.
Adult are $9 and Child are $8
400
Printing a newsletter cost $1.50 per copy plus $450 in printer's fees. The copies are sold for $3 each. How many copies of the newsletter must be sold to break even?
300 Copies
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

2x - 4y = 12
-8x + 16y = -48

What is infinitely many solutions?
400
The solution to the system

3x - 2y = 4
y = 2x - 1

What is (-2, -5)
400
The water park 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 6 vans and 8 buses with 428 students. High School B rented and filled 8 vans and 4 buses with 284 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
14 in a van and 43 in a bus
500
Suppose you are thinking of buying one of two cars. Car A will cost $17,655. You can expect to pay an averages of $1230 per year in gas, maintenance, and repairs. Car B will cost $15,900. Fuel, maintenance , and repairs for it average about 1425 per year. After how many years are the total costs for the cars the same?
9 Years
500
The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?
500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

x + y = 12
x = (1/3)y

What is (3, 9)?
500
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many of each coin did he earn?
28 dimes and 52 nickels