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- 1. Multiple ChoiceErin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.x + y = 33
y = 2x - 3x + y = 33
x = 2y - 3x + y = 33
x = 3 - 2yx + y = 3
x = 33 - 2y - 2. Multiple ChoiceNancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?4x + 6y = 3
13.5x - 13y = 6x + y = 4
x - y = 64x + 6y = 13
3x + 7y = 13.54x - 6y = 13
3x - 7y = 13.5 - 3. Multiple ChoiceJosh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?x - y = -10
x + y = -2x = -2
y = 5x + y = -2
x - y = -10x + y = -10
x - y = -2 - 4. Multiple ChoiceThe sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3. Which system of equations represents the situation?2x + 3y = 55
2x + 5y = 3x + y = 55
x - y = 3x + y = 3
x - y = 55 - 5. Multiple ChoiceThe talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?S + A = 530
3S + 4A = 1740S + A = 530
4S + 3A = 1740S + A = 1740
3S + 4A = 530S + A = 1740
4S + 3A = 530 - 6. Multiple Choice1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.5q + 2z = 1.32
1z = 0.755q + 2z = 1.32
3q + 1z = 0.75q + z = 1.32
q + z = 0.755q + 2z = 0.75
3q + 1z = 1.32 - 7. Multiple ChoiceOn Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the 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 = 16.5010c + 5d = 16.50
5c + 10d = 14.25c + d = 10
5c + 10d = 16.50c + d = 5
5c + 10d = 16.50 - 8. Multiple ChoiceHomer 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(10, 11)(12, 9)(11, 10)(9, 12) - 9. Multiple ChoiceHomer 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. How many of each type of ticket were sold?10 adults, 11 children12 adults , 9 children11 adults, 10 children9 adults, 12 children
- 10. Multiple ChoiceDavid 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.35 nachos, 52 sodas18 nachos, 69 sodas52 nachos, 35 sodas61 nachos, 26 sodas
- 11. Multiple ChoiceDennis 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 nickels and dimes did Dennis earn?40 nickels, 40 dimes52 nickels, 28 dimes28 nickels, 52 dimes30 nickels, 50 dimes
- 12. Multiple ChoiceA large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings can you get at each Pizzeria so that the price of a large pizza is the same?3 toppings1 topping2 toppings4 toppings
- 13. Multiple ChoiceYour 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, how many of each kind of dinner was purchased?3 chicken, 3 steak5 chicken, 1 steak1 chicken, 5 steak4 chicken, 2 steak
- 14. Multiple ChoiceAt 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 + 8t + n = 54
n = 3t + 8t + n = 54
t = 3n - 8t + n = 8
t = 3n + 54 - 15. Multiple ChoiceSome students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $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 + xy = 9.65x + 43
y = 8.40x + 58y =9.65x
y = 8.40xy = 9.65x - 43
y = 8.40x - 58 - 16. Multiple Choice
A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?
nickels is 20
dimes is 3
quarters is 2
nickels is 3
dimes is 5
quarters is 17
nickels is 13
dimes is 10
quarters is 2
nickels is 12
dimes is 10
quarters is 3
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