Lower Elementary:
Question: Rex mowed lawns over the weekend. He mowed 4 lawns on Friday, 9 lawns on Saturday, and 6 lawns on Sunday. How many lawns did Rex mow altogether?
Answer: 19 lawns
Solution: To find the number of lawns that Rex mowed, we add the number of lawns Rex mowed each day together. So, we need to add 4 + 9 + 6. 4 + 6 = 10, so let’s add the 4 and the 6 first. 4 + 6 + 9 = 10 + 9 = 19. Rex mowed 19 lawns.
Upper Elementary:
Question: A library just received a shipment of 1,400 books. The library will put 150 books on the front display and then put the remaining books on the shelves. If there are 50 shelves and an equal number of books are put on each shelf, how many books will be put on each shelf?
Answer: 25 books
Solution: First we need to find the number of books that will be put on the book shelves. There are a total of 1,400 books and 150 are being put on display. That means there are 1,400 – 150 = 1,250 books that are going to be put on the shelves. 50 books are placed on a shelf, so to find how many books are on a shelf, we divide 1,250 by 50. 1,250 ÷ 50 = 25. There will be 25 books placed on each shelf.
Middle School:
Question: During a weekend sale, the cost for a tuxedo went from $150 to $120. What is the percent of the discount?
Answer: 20% discount
Solution: To find the percentage of change, we need to take the difference in the price and divide by the original price. The price change is $150 – $120 = $30. Now we take that amount and divide by the original. 30 ÷ 150 = 1/5. Percent means for each hundred, so we can rewrite 1/5 = 20/100 = 20%. The percent of the discount is 20%.
Algebra and Up:
Question: Solve for x: 3(x – 7) = 27(2x – 5)
Answer: x = 8/5 = 1 3/5
Solution: One way to solve for x is to simplify the equation so that both sides of the equation have the same base. We can rewrite 27 as 33. So, our problem becomes:
3(x – 7) = 33(2x – 5)
When both bases are the same, we can set the exponents equal to each other.
x – 7 = 3(2x – 5)
Distribute the right side of the equation.
x – 7 = 6x – 15
Subtract 6x from both sides and add 7 to both sides.
–5x = –8
Divide both sides by –5.
x = –8/–5 = 1 3/5
x is 1 3/5
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