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Rewrite Expressions
Hailey just had lunch at the Sushi Palace, and she wants to leave an 18% tip. She writes the expression b + 0.18b to compute her bill with a tip, where b is her bill before the tip.
Question 1
Which expression is equivalent to Hailey's expression?
Responses
A 1.18b

1.18b
B 0.18(2b)0.18(2b)
C 1.18(2b)1.18(2b)
D 2(1.18b)2(1.18b)
Question 2
After lunch, Hailey goes to the pet store. Suppose Hailey buys 5 guinea pigs at 20% off the original price of g dollars per guinea pig, which expression will NOT give Hailey's total cost?
Responses
A 4g4g
B 5g - 0.205g - 0.20
C 5g − 0.2(5g)5g − 0.2(5g)
D 5g − 1g

Answer 1

Question 1
The expression equivalent to Hailey's expression is A 1.18b. This is because the original expression (b + 0.18b) can be simplified by using the distributive property, which gives 1b + 0.18b or simply 1.18b.

Question 2
The expression A 4g4g will NOT give Hailey's total cost. This is because this expression implies that Hailey bought 4 guinea pigs at the original price, not 5 at a discount of 20%.