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 applyA pc+bB (b+c)p(C) pc+pbD] pcbE I don't know
Q. 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 applyA pc+bB (b+c)p(C) pc+pbD] pcbE I don't know
Understand Expression: Understand the given expression p(c+b).The expression p(c+b) represents the total price for c greeting cards and b gift bags, each at the same price p. We can distribute the price p across the sum of c and b to find equivalent expressions.
Distribute Price: Distribute the price p across the sum of c and b.p(c+b)=pc+pbThis shows that the total price is the sum of the price of c greeting cards and the price of b gift bags.
Compare Options: Compare the distributed expression to the given options.Option A: pc+b is not correct because it adds b to the price of c greeting cards, which does not represent the total price.Option B: (b+c)p is correct because it is a rearrangement of p(c+b), which does not change the value.Option C: pc+pb is correct because it is the distributed form of p(c+b).Option D: pcb is not correct because it implies a multiplication of all three variables, which does not represent the total price.Option E: "I don't know" is not an expression that represents the price.
More problems from Identify equivalent linear expressions: word problems