You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not?
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Answers
Answer:
5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1
7x -1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7
7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2
7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14
7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3
7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21
7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4
7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28
7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5
7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35
7(5) - 1 = 35 - 1 = 34
5x + 2x result values are 1 more then 7x-1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x..and the other one is 7x-1 ......so the 7x - 1 values will always be 1 number less...because ur subtracting one