Example Question #1 : Operations And Algebraic Thinking
Elizabeth is going to buy concert tickets. The concert tickets costs plus a sales tax. What is the total price that Elizabeth will pay for her concert tickets?
We know that Elizabeth is going to pay of the concert because that is the total cost. Plus, she is going to pay of the because that is the sales tax.
First, we need to convert our percentages into decimals in order to multiply.
Next, we can write a numeric expression and solve:
Example Question #2 : Operations And Algebraic Thinking
Billy makes a week in allowance plus for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.
We know that Billy needs to make more than between his allowance and the lawns that he mows. This means our inequality should include
Also, since Billy will make per lawn, that means we need to multiply by the number of lawns he needs to mow, :
So far we have the following:
Next, we know that he makes each week, on top of what he makes mowing each law.
This means we need to add the to the
When we put all of these pieces together, we will get the following inequality:
Example Question #3 : Operations And Algebraic Thinking
Hannah loves to shop. She can shop in of the mall in of an hour. If she continues at this rate, how much of the mall can she shop per hour?
The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the mall, , divided by hours, :
Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.
Hannah can shop in of the mall per hour.