HSPA Math Practice 2Short ResponseShow all work. Circle Final Answer.1. Ellen was tutoring Susan in mathematics at the library. Susan had to find the product of (5.3 x 1028) x (8.9 x 1016). They both forgot their calculators. How could Ellen explain how to find this product without using a calculator?

2. Maurice and Aldo both go to the same library. The last time they saw each other was last Thursday. Maurice goes to the library every seven days. Aldo goes to the library every five days. How many days, from their last meeting, will they both be at the library together? Show how you arrived at your answer.

3. Jasons Discount Store is having a Holiday Sale. During this sale, a pair of pants is reduced by 30%; then an additional 15% is taken off of the reduced price at the cash register. The original cost of the pants is $35.99. How much would a customer pay for these pants? How much would the pants be if they are sold at a one time discount of 45% off the original cost? Why didnt the store sell these pants for 45% off the original cost?

4. Angela has applied for a job as a florist. She had to choose between two salary options. Plan 1: $800 a month+ 6% of monthly sales, or Plan 2: 10% of monthly sales. Sales for the prior months were: January - $9,000 February - $15,000 March- $6,000 April- $ 12,000Based on this information, which salary option should Angela select if she decides to accept the job? Explain your answer.

5. Naser owns a rare stamp collection. There are 45 rare stamps in his collection. He wants to divide the stamps among his 3 children. He requested that the oldest child receive 4/5 of the collection, the middle child receive 1/10 of the collection and the youngest child receive 1/15 of the collection. His children met and tried to figure out how to distribute the stamps according to their fathers specifications.

How many stamps should each child get? Did Naser choose the fractional parts each child was to receive in the best way? Explain why or why not.

6. A carpenter positions the bottom of his 45 foot ladder 5 feet from the base of a building to fix a broken window. How high up on the building will the ladder reach to enable the carpenter to fix the window? Explain and show all of your work.

7. If a rectangular stick of butter, as shown below, measures 6 in. x 2 in. x 1 in.

What is the volume of the stick of butter? (in square inches) If you take (or 50%) off each side of this stick of butter, what us the volume of the new solid? (in square inches) What is the ratio of the volume of the original stick of butter to the volume if the second? Explain and show your work.

8. If you line up 30 squares in a row, side by side, as shown below, with each side equal to 6 inches, what would the perimeter of the figure be?

9. Draw a parallelogram that has the same area as the triangle shown below. Explain and show all of your work.

10. A car starts at point A, travels 8 miles east, and then turns and travels 10 miles south to reach point B Using graph paper, make a scale drawing using vectors to show the cars movement, starting from point A. Draw a vector that would show the direct path from point A to point B. What would be the approximate number of miles the car could have traveled along this path? Approximately how many degrees from north would this path be? Explain how you arrived at this answer. 11. A rectangular vacant lot is 100 feet long. Its area (in square feet) is twice its perimeter (in feet). How wide is the lot? Show all of your work and justify your answer.

12. In triangle XYZ, angles x and y are congruent. What is the length of YZ? Explain and show all your work.

13. Circle A has a radius of 10 inches. How much greater than its area is the area of Circle B whose radius is twice as large? Explain and show how you arrived at your answer.

14. Belinda wants to determine the number of dots in the 30th step of the following pattern, but she does not want to actually draw all 30 steps.

Explain how Belinda could find the number of dots in Step 30 without actually drawing them. What would be the number of dots in the 30th step? Write an algebraic expression for the number of dots in the nth step.

15. Analyze the pattern below. What letter will be in the 76th position? Show your work and explain your answer. M A T H M A T H M A T H M A

16. Judge Esther Odometer developed a formula to determine the fine for speeding on the parkway in her town. The formula she developed is:F = 12(R 60) + 55In this equation, F represents the total amount of fine, R represents how fast (rate of speed) the car was going in miles per hour. A car has been stopped for traveling 75 mph, 80 mph, 87 mph, 90 mph, and 100 mph over the course of the past year. Show the domain and range for this relation. Judge Esther charges you a fine of $175 for speeding. Is this a reasonable fine? Why or why not

17. Sharifa is offered two jobs: one at Toms World of Music and one at Rosies Caf. Tom's promises her a salary of $30,000 and a raise of $500 each year. Rosie's offers her a salary of $30,000 and a raise of 4% of her current salary each year. Which job should she accept? Explain your answer. Show all work.

18. Mike dropped a basketball ball from his bedroom window a height of 20 feet. Each time the ball bounced, it reached a maximum height of approximately half that of its previous height. Draw a graph to represent the relationship between the number of times the ball bounces and the height reached by the ball. What is the total of the heights the ball reached after the 4th bounce. What do you think this total would have been if the ball had bounced 20 times?

19. Diana had $1200 in her checking account. She withdrew the same amount each month for 5 months to pay for a car loan. At the end of 6 months, she deposited an additional $600 into her account. Her new balance was $800. How much money did she withdraw each month? What was her account balance after the 6 months before her deposit of $600? Explain and show all your work.

20. John and Ellen work in a clothing store after school. Johns boss told him to reduce every item in the store for a 2-day sale by 30%. After the sale, Johns boss told her to increase every sale items sale price by 30%. John started marking each item with the original price. Ellen said, That is wrong! If you increase the sale price by 30% you will not get the original price." Who is right? Show your work. You may wish to include a simple, specific example to support your answer.

21. You are the service manager at an auto repair shop. You charge $22 per hour for labor plus the cost of any parts. A car needed $256 of new parts. The final bill for the car was $421. How long did it take to repair the car? Explain your answer. Write an algebraic equation to solve this problem. Show all work.