Which two expressions are equivalent?
Responses
A 6(5 + y)
(6 + 5) • (6 + y)6(5 + y ) (6 + 5) • (6 + y )
B 8 • 12 ÷ y
y • 12 ÷ 88 • 12 ÷ y y • 12 ÷ 8
C y + (4 • 11)
(11 • 4) + yy + (4 • 11) (11 • 4) + y
D 13 – 9 + y
13 – (9 + y)
SHOW YOUR WORK
The two expressions that are equivalent are:
A) 6(5 + y)
C) y + (4 • 11)
To show this, we can simplify each expression and see that they are equal:
A) 6(5 + y) = 6 * 5 + 6 * y = 30 + 6y
C) y + (4 • 11) = y + 44
Since there is no way to simplify these expressions further, we can see that 30 + 6y is equivalent to y + 44.