Patterns in Mathematics

Math Test: Patterns and Relationships

Multiple Choice

Kareem is running from one end of Tennessee to the other to raise money for a charity. He gets $5 each mile that he runs from one of his sponsors. He also gets $3 per mile from his Mom. Assuming that the money from his sponsors is used for the x-coordinate, and the money from his Mom is used for the y-coordinate, which ordered pair represents how much money Kareem makes during a 5 mile run?

• (25, 15)

• (15, 25)

• (5, 3)

• (20, 12)

​First Explanation

​We can solve this in at least two ways; one is to plot the points on a coordinate plane and the other is to use an equation to find the solution. Because Kareem earns $5 per mile from his sponsor, after 5 miles he will earn 5 x $5 = $25. Also his Mom gives him $3 per mile so after 5 miles he will earn 3 x $5 = $15. If his sponsor is the x-coordinate and Mom is the y-coordinate, the ordered pair is (25 , 15)

​Second Explanation

​We can use a table to help us solve. You can see that in the video.

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​We can also use an equation to figure out the answer. If Junior runs 5 miles per day, after 5 days he will have run 5 x 5 = 25miles. Misty runs 6.5 miles per day, so after 5 days she will have run 5 x 6.5 = 32.5miles. Misty ran 32.5 - 25 = 7.5 miles more.

Multiple Choice

Using the table, what is the relationship between the total number of high fives Pierre has given after each week and the total number of high fives Petra has given after each week? The number of high fives Petra gives is always ____ the number of high fives Pierre gives.

• 4 times

• 6 times

• 45 more than

• 225 more than

​Third Explanation

​There are a few ways to solve this question. Since we are given 4 choices, we should make sure that the choices show the pattern in the table. We can eliminate 4 times, because at no point, is Petra 4 times Pierre. Watch the video to see how to work through the other options.

​Final Explanation

​This is a multi-step word problem, that you can relate to a table to help you visualize the answers. Since Novak starts with $25 from chocolate chip, his table would start at 25 and add 2.50 for each sale. He starts with $32 from oatmeal raisin, so his table for that would start at 32 and add 4 for each sale. Watch the video for more information