Question

Which of the following are equivalent expressions? Check all that are true.

1) 2t + 3t = 5t
2) 9x + 11x = 20x
3) 2a + 2a + 2a = 6a
4) 2c d = 2(1c 1d)
5) 3a + 3b = 2(1a 1b)

Answer 1

To determine which of the following expressions are equivalent, we can simplify each expression and check if they are equal to each other. We find that expressions 1, 3, and 4 are equivalent.

Step-by-step explanation:

To determine which of the following expressions are equivalent, we can simplify each expression and check if they are equal to each other. Let's go through each expression:

1. 2t + 3t = 5t: This expression is true because you can combine the '2t' and '3t' terms to get '5t'.
2. 9x + 11x = 20x: This expression is false because the sum of '9x' and '11x' is '20x', not '20x'.
3. 2a + 2a + 2a = 6a: This expression is true because you can combine the '2a', '2a', and '2a' terms to get '6a'.
4. 2cd = 2(1c 1d): This expression is true because you can distribute the '2' to '1c' and '1d' to get '2c + 2d', which is equivalent to '2cd'.
5. 3a + 3b = 2(1a 1b): This expression is false because the sum of '3a' and '3b' is '3a + 3b', not '2(1a 1b)'.