Have an account?
Skip to Content
Build your own quiz
Mathematics
9th -
12thgrade
Writing Systems of Equations Through Word Problems
10 questions
Show Answers
See Preview
- 1. Multiple Choice
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. Which equations represents the system that could be used?
1s + 3c = 38
2s + 3c = 52
3s + 1c = 38
3s + 2c = 52
s + c = 38
s + c = 52
- 2. Multiple Choice
Last season two running backs on the Steelers football team rushed a combined (both running backs) total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
- 3. Multiple Choice
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 (all) the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels? (Hint: How much are the coins worth?)
d + n = 6.60
.10d + .05n = 80
d + n = 80
d + n = 6.60
d + n = 80
.10d + .05n = 6.60
- 4. Multiple Choice
On Monday Joe bought 10 cups of Coffee and 5 Doughnuts for his office at the (total) cost of $16.50. It turns out that the doughnuts were more popular than the coffee. 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
- 5. Multiple Choice
A large pizza at Palanzio’s Pizzeria (c) costs $6.80 plus $0.90 for each topping.The cost of a large cheese pizza at Guido’s Pizza (c) is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
y = 6.80 + .65x
y=7.30+.90x
x + y = 6.80
x + y = 7.30
y = 6.80+.90x
y = 7.30 + .65x
- 6. Multiple Choice
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?
t: # of tacos
m: # of glasses of milk
t: Cost of each taco
m: Cost of each glass of milk
t: total cost
m: # of food items
- 7. Multiple Choice
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
- 8. Multiple Choice
Some students want to order shirts with their school logo. One company charges a total of $9.65 per shirt plus a setup fee of $43. Another company charges a total of $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
y = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y =9.65x
y = 8.40x
- 9. Multiple Choice
Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount? (Where will the two lines touch?)
(1, 12)
(3, 19)
(5, 25)
- 10. Multiple Choice
The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y? (Hint: 1st solve the 1st equations for y, 2nd graph both equations, 3rd determine where the two lines touch. After solving, use menu 3, 2 on the N-Spire, or use the DESMOS calculator.)
14
4
6
- Answer choicesTagsAnswer choicesTags