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Zorluk: KolayBasic Algebraic Expressions and One-Step Equations

An online bookstore sells paperback novels for 1212 dollars each. The total cost, in dollars, to purchase nn novels and have them shipped to a customer's home is given by the expression 12n+812n + 8. What is the total cost, in dollars, to purchase 44 novels and have them shipped?

  1. A
    24
  2. B
    40
  3. 56Cevap
  4. D
    80
  5. E
    144

Cevap

The total cost to purchase 4 novels and have them shipped is 56 dollars.
The correct answer is 56. Substituting the number of novels (n=4n = 4) into the cost expression 12n+812n + 8 gives 12(4)+812(4) + 8. Following the order of operations, we first multiply 12 by 4 to get 48, and then add 8, resulting in 56.

Adım Adım Çözüm

1
Substitute the number of novels, n=4n = 4, into the given cost expression, 12n+812n + 8.
The expression becomes 12(4)+812(4) + 8.
To find the total cost for a specific number of novels, we replace the variable representing the number of novels with the given value.
2
Apply the order of operations (PEMDAS/BODMAS) to evaluate the expression by multiplying before adding.
12×4=4812 \times 4 = 48, then 48+8=5648 + 8 = 56.
Multiplication must be performed before addition according to standard mathematical rules.

Anahtar Kavram

Evaluating algebraic expressions using the order of operations
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