Writing and Solving Systems of Equations

Front

Pilar had brochures printed for a new business venture. Pilar originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Pilar spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Back

4x+3y=134, 3x+3y=120

Front

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Back

$10

Front

Saulo sells nachos and sodas. Nachos cost $1.50 each, sodas $0.50 each. Total sales: $78.50. Total items sold: 87. Which system of equations represents this?

Back

1.5x+0.5y=78.5, x+y=87

Front

What is the solution? Options: (1, -1), (-1, 1), (0, -2), (2, 0)

Back

(1, -1)

Front

How many solutions will this system have? Options: No solution, One Solution, I Don't Know, Infinitely Many Solutions

Back

No solution

Front

Which situation can be represented by the equation 1500 - 50x = 2000 - 100x? Options: There are two water tanks in the city. One tank has 1500 gallons and gains 50 gallons each hour. The other tank has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?, There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?, There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the tanks have the same amount of water?, There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the bigger tank have more water?

Back

There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the tanks have the same amount of water?

Front

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

Back

s + b = 28
16s+19b=478

Front

A store sells oatmeal cookies for $2 and chocolate cookies for $3. On a busy day, the store sold 8 more oatmeal cookies than chocolate cookies and made $156. Write a system of equations to find how many of each kind of cookies were sold. Let x = number of oatmeal cookies sold y = number of chocolate cookies sold.

Back

2x + 3y = 156, x = y + 8

Front

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

Back

c + s = 6
14c + 17s = 99

Front

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

Back

.01p + .05n = 1.03, p + n = 35