Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
Substitution and Elimination Word Problems

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(10, 11)
(12, 9)
(11, 10)
(9, 12)
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
x + y = 6
14.80x + 17y = 91
x + y = 91
14.80x + 17y = 6
x + y = 6
14.80y + 17x = 91
x + y = 91
14.80x+ 17y = 6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?
4x + 7y = 578
x + y = 3365
4x + 7y = 3365
x + y = 578
4y + 7x = 578
x + y = 3365
4y + 7x = 3365
x + y = 578
5.
OPEN ENDED QUESTION
1 min • 1 pt
Which method would be most efficient to solve this system? Elimination or Substitution? Explain. (¿Qué método sería más eficaz para resolver este sistema? Eliminación o sustitución. Explique.)
Evaluate responses using AI:
OFF
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Define the variables for this systems word problem. (Defina las variables para este problema de palabras del sistema.)
x - # of multiple choice questions & y - # of word problems//x - # de preguntas de elección múltiple e y - # de problemas de palabras
x - 1 point and y - 5 points//x - 1 puntos e y - 5 puntos
x - 40 questions & y - 100 points//x - 40 preguntas e y - 100 puntos
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the system of equations for this problem. (Escriba el sistema de ecuaciones para este problema.)
x+y = 100 and 2x+4y = 30
x+y = 30 and 2x+4y = 100
x+y = 30 and x+4y = 100
4x+4y = 40 and x+y = 100
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