McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
2. Order of Operations
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Exercise 55 Page 13

Each day of rent is the sum of two products.

Expression: 28(7)+12(9.75)+30(7)+15(9.75)
Solution: $669.25

Practice makes perfect

We will begin by writing the expression. After that we will evaluate it by substituting the given values.

Writing the Expression

First, let's visualize the total rent that was collected by writing a simple expression for the sum of the rent collected from the first day and the second day from both the small and large spaces. First day rent + Second day rent Now we need to consider the rental rates for small and large spaces. From the advertisement, we can see that the cost of rent for small spaces S is $7 per day and $ 9.75 per day for large spaces L.

First day rent&=S_1(7) + L_1( 9.75) Second day rent&=S_2(7) + L_2( 9.75) The sum of these two expressions is equal to the total rent collected. S_1(7) + L_1( 9.75) + S_2(7) + L_2( 9.75) We have been given the numbers of small spaces and large spaces rented out each day.

  • S_1= 28
  • L_1= 12
  • S_2= 30
  • L_2= 15

Let's substitute these values into the expression. 28(7) + 12( 9.75) + 30(7) + 15( 9.75)

Evaluating the Expression

When evaluating the expression we must pay close attention to the order of operations. We must evaluate the multiplications before we can add the terms. Let's do it!
28(7)+12(9.75)+30(7)+15(9.75)
196+117+210+146.25
669.25
The total rent collected was $ 669.25.