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WorksheetsEquations Worded Problems
Total questions: 14
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
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. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.
a)
x + y = 21
6x + 4y = 104
6x + 4y = 104
b)
x + y = 104
6x + 4y = 21
6x + 4y = 21
c)
x + y = 21
6y + 4x = 104
6y + 4x = 104
d)
x + y = 104
6x + 4y = 21
6x + 4y = 21
2.
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
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
3.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation? *
a)
1.5x + 0.5y = 78.5
x + y = 87
x + y = 87
b)
1.5x + 0.5y = 78.5
1.5x + 0.5y = 87
1.5x + 0.5y = 87
c)
x + y = 78.5
1.5x + 0.5y = 87
1.5x + 0.5y = 87
d)
x + y = 78.5
x + y = 87
x + y = 87
4.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
(35, 52)
b)
(18, 69)
c)
( 52, 35)
d)
(61, 26)
5.
In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
6.
What is the solution to this system of linear equations?
Use substitution.
y = -2x - 6
-2x + y = 6
Use substitution.
y = -2x - 6
-2x + y = 6
a)
(0, -3)
b)
(-3, -12)
c)
(-3, 0)
d)
(3, -12)
7.
What is the value of x in the solutiont o this system of linear equations?
Use substitution.
y = -3x + 3
- 2x + 2y = 6
Use substitution.
y = -3x + 3
- 2x + 2y = 6
a)
0
b)
No solution
c)
4
d)
- 4
8.
What is the solution to this system of linear equations?
Use substitution.
y = 4x + 6
5x + y = -21
Use substitution.
y = 4x + 6
5x + y = -21
a)
(27, 108)
b)
(-3, -6)
c)
(3, 18)
d)
(-3, 6)
9.
What is the solution to this system of linear equations?
Use elimination.
2x + y = 17
x + y = 10
Use elimination.
2x + y = 17
x + y = 10
a)
(7, 5)
b)
(9, -1)
c)
(-1, 9)
d)
(7, 3)
10.
What is the solution to this system of linear equations?
Use elimination.
3x + y = -14
-2x - y = 9
Use elimination.
3x + y = -14
-2x - y = 9
a)
(-5, 1)
b)
(-1, -11)
c)
(5, -29)
d)
(13, 55)
11.
What is the value of y in the solution to this system of linear equations?
Use elimination.
x + 3y = 18
- x – 4y = - 25
Use elimination.
x + 3y = 18
- x – 4y = - 25
a)
-7
b)
2
c)
6
d)
7
12.
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?
a)
x + y = 6
14.80x + 17y = 91
14.80x + 17y = 91
b)
x + y = 91
14.80x + 17y = 6
14.80x + 17y = 6
c)
x + y = 6
14.80y + 17x = 91
14.80y + 17x = 91
d)
x + y = 91
14.80x+ 17y = 6
14.80x+ 17y = 6
13.
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
a)
x + y = 1430
20x + 50y = 49
20x + 50y = 49
b)
x + y = 49
10x + 5y = 1430
10x + 5y = 1430
c)
x + y = 49
20x + 50y = 1430
20x + 50y = 1430
d)
x + y = 49
x + y = 1430
x + y = 1430
14.
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?
Which system best represents the situation?
a)
4x + 7y = 578
x + y = 3365
x + y = 3365
b)
4x + 7y = 3365
x + y = 578
x + y = 578
c)
4y + 7x = 578
x + y = 3365
x + y = 3365
d)
4y + 7x = 3365
x + y = 578
x + y = 578
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