Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Greeting cards ( c ) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by p(c+b). Select all the expressions that also represent the price of the greeting cards and gift bags. Select all that apply A pc+b B (b+c)p (C) pc+pb D pcb E I don't know

Question

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Greeting cards (  c ) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by  p(c+b). Select all the expressions that also represent the price of the greeting cards and gift bags. Select all that apply A  pc+b B  (b+c)p (C)  pc+pb D  pcb E I don't know

Bytelearn · Accepted Answer

Understand given expression: Understand the given expression p(c+b). This expression indicates that the price of the greeting cards and gift bags is the product of the price per item (p) and the sum of the number of greeting cards (c) and gift bags (b) purchased. Evaluate option A: Evaluate option A (pc+b). This expression suggests adding the price of one greeting card (pc) to the number of gift bags (b), which does not account for the price per gift bag. This is not equivalent to the given expression p(c+b). Evaluate option B: Evaluate option B (b+c)p. This expression is the same as the given expression p(c+b) but written with the factors in reverse order. Multiplication is commutative, so this expression is equivalent to the given expression. Evaluate option C: Evaluate option C (pc+pb). This expression represents the price of c greeting cards (pc) plus the price of b gift bags (pb), which is equivalent to the given expression p(c+b) since it distributes the price p over the sum of c and b. Evaluate option D: Evaluate option D (pcb). This expression suggests multiplying the price (p) by both the number of greeting cards (c) and the number of gift bags (b), which implies a multiplication of three quantities rather than adding the number of items. This is not equivalent to the given expression p(c+b). Evaluate option E: Evaluate option E (I don't know). This is not an expression but an indication of uncertainty. It does not represent the price of the greeting cards and gift bags.

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