Question

Which pair of expressions below is equivalent?

A) x + y + x + y and 2(x + y)
B) 5x + 3x - 2y and -2y + 8x
C) 6x - 8y and 3(2x - 4y)
D) 9x(4) and 13x

The lowest point in the United States is in Death Valley. Its elevation is 282 ft. below sea level. Which of the following choices expresses this elevation as an integer?
A) 282
B) -282
C) 0
D) 94

Geographers use negative numbers to represent points below sea level, and positive numbers to represent points above sea level. What does 0 meters represent?
A) Sea level
B) The highest point in New Orleans
C) The lowest point in Baton Rouge
D) The lowest point in New Orleans

Answer 1

The pair of expressions that are equivalent are x + y + x + y and 2(x + y).

Step-by-step explanation:

In the first pair of expressions, x + y + x + y can be simplified by combining like terms. The like terms are the x's and the y's. This becomes 2x + 2y. In the second pair of expressions, 5x + 3x - 2y can also be simplified. The like terms are the x's and the y. This becomes 8x - 2y.

Therefore, the equivalent pair of expressions is A) x + y + x + y and 2(x + y).