Elijah is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

Lucy is thinking of two numbers.  The sum of the numbers is 100. One of the numbers is 20 more than 3 times the other.  Which system of equations represents the situation?

What step is required first to solve this system by the substitution method?

x + y = 100

y = 3x + 20

What step is required first to solve this system by the elimination method?

x + y = 100

y = 3x + 20

Now that we've moved "3x"... What is the first step to solve this system by the elimination method?

x + y = 100

-3x + y = 20

Avery and Sophia went to the grocery store.  On Monday they purchased 4 apples and 6 bananas for a total of $13.  On Wednesday they purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

George and Ruben went to the same grocery store on different days. George bought 5 squash and 2 zucchini for $7.32. Ruben bought 3 squash and 1 zucchini and his total $3.75.

Write a system of equations that models this scenario.

David 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.  Which system of equations could be used to find the exact number of dimes and nickels? 

In Nyta's coin collection there are a total of 43 dimes and nickels. The coins are worth $3.05. How many of each type of coin are in the collection? Write a system of equations to model this scenario.