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ALGEBRA HSA SPRING BREAK HOMEWORK PRACTICE In Preparation for the High School Assessment April 2, 2013 – April 5, 2013 PRINCE GEORGE’S COUNTY PUBLIC SCHOOLS Division of Academics Department of Curriculum and Instruction Algebra HSA Spring Break Practice Name: _____________________________ 1. Marissa earns $3.75 per hour at a local fast food restaurant. Write an expression for the amount of money she earns and determine how much she is going to earn in 7 hours. A. B. C. D. 3.75x; $26.25 7x; $26.25 3.75x +7x; $10.75 7x; $3.75 2. Solve for “x” in the following equation: 27x – 3(x – 6) = 6. F. -2 G. -½ H. ½ J. 2 3. The table below shows the boiling point of selected metals. Which conclusion can you draw from the graph? Copper Tin Gold Iron Nickel A. The graph is an accurate representation of the difference in boiling point of selected metals B. The graph uses a vertical scale that suggest a misleading result C. The graph is misleading because the horizontal axis does not have a numeric scale D. Both vertical and horizontal scales are misleading Secondary Mathematics 2013 2 Algebra HSA Spring Break Practice Name: _____________________________ 4. The width of a rectangle is 3 less than twice the length, x. If the area of the rectangle is 43 square feet, which equation can be used to find the length, in feet? F. 2x(x – 3) = 43 G. x(3 – 2x) = 43 H. 2x + 2(2x – 3) = 43 J. x(2x – 3) = 43 5. Sasha and Lakeisha went to the shopping mall. Sasha spent 5x +2 for clothes. Lakeisha, on the other hand, spent 3x – 1 on various items. Which expression represents the average amount of money that the girls spent? A. B. C. D. (5x + 2)(3x – 1) (5x + 2) – (3x – 1) (5x + 2) (3x – 1) (5x + 2) + (3x – 1) 2 6. Which of the following represents a function? F. G Secondary Mathematics 2013 H. J. 3 Algebra HSA Spring Break Practice Name: _____________________________ 7. A bank gives away one of five basketball cards every time a client makes a deposit. There is an equal chance of getting any one of the cards. You want to predict the numbers of times a client will have to make a deposit to get all five cards. Which could NOT be considered a trial in your simulation? A. B. C. D. Use the digits 1 to 5 with each number representing a basketball card. Use the random number generator on your graphing calculator. Keep generating values until all five numbers appear. Record your result. Divide a spinner into five equal parts and label A to E. Spin the spinner and record the number of spins it took for the spinner to land on all five letters Place five balls of different colors in a box. Draw one ball, record the color and replace the ball in the box. Repeat the process until all five colors are picked. Use a number cube. Toss and record the number on which it lands. Repeat the process until you were able to get all the numbers. 8. A movie theater recorded the number of tickets sold daily for a popular movie during the month of June. The box-and-whisker plot shown below represents the data for the number of tickets sold, in hundreds. Which conclusion can be made using this plot? F. The second quartile is 600 G. The mean of the attendance is 400 H. The range of the attendance is 300 to 600 J. Twenty-five percent of the attendance is between 300 and 400. 9. A random sample of 36 people in town found that 12 of them like chocolate milk. If there are 120,000 people in town, how many would be expected to like chocolate milk based on the sampling? A. B. C. D. 12,000 18,000 36,000 40,000 Secondary Mathematics 2013 4 Algebra HSA Spring Break Practice Name: _____________________________ 10. If 5x – 3 = 2(x – 6), solve for x. F. -3 G. 1 H. 3 J. 5 11. John wanted to buy his mom a gift on her birthday. He decided to work part-time and on the average earned $32 per day. He also received a $20 allowance on the first day. If the gift is worth $195, how many days will John have to work in order to have enough money to buy it? A. B. C. D. 4 days 5 days 6 days 7 days 12. What correlation is exhibit by the scatter graph below? F. G. H. J. Positive correlation Negative correlation No correlation All of the above Secondary Mathematics 2013 5 Algebra HSA Spring Break Practice Name: _____________________________ 13. Which of the following equations is represented by the graph below: A. B. C. D. y = -40 x + 200 y = 20x + 40 y = 5x + 200 y = 40x + 5 14. What is the speed, in miles per hour, of a toy car that runs 40 feet in 8 seconds? Round your answer to the nearest whole number. (1 hour = 3600; 1 mile = 5280 ft) F. 3 G. 4 H. 5 J. 6 15. The spinner below is divided into 8 equal regions and spun once. What is the probability of NOT getting red? A. 3/5 Secondary Mathematics 2013 B. 3/8 C. 5/8 6 D. 7/8 Algebra HSA Spring Break Practice Name: _____________________________ 16. Which ordered pair is in the solution set of the following system of inequalities? y<1x+4 2 y>-x+1 F. (-5, 3) G. (0,4) H. (3,-5) J. (4,0) 17. Look at the graph below and select the statement that is NOT true about the graph. A. B. C. D. Albert finished first. Charlie stopped running between 8 seconds and 13.5 seconds. After 50 meters, Bob overtake Charlie. Charlie started out the slowest. Secondary Mathematics 2013 7 Algebra HSA Spring Break Practice Name: _____________________________ 18. Shown below is the population of tadpole in a pond since 1990. During which period did the tadpole population decrease the fastest? F. From 1990 G. From 1992 H. From 1993 J. From 1997 Secondary Mathematics 2013 to 1992 to 1993 to 1996 to 1998 8 Algebra HSA Spring Break Practice Name: _____________________________ 19. Look a the function that is graphed below What are the zero(s) of the functions? A. 2 B. -1, 3 C. -4, 4 D. -3, 1, 5 20) Look at the pattern below 2.6, −5.2, 10.4, −20.8, . . If this pattern continues, what is the sixth term? F. G. H. J. -83.2 -41.6 41.6 83.2 Secondary Mathematics 2013 9 Algebra HSA Spring Break Practice Name: _____________________________ 21) Which graph represents the solution of 3y – 9 < 6x? A. C. B. D. h) 22) Find the solution to the following systems of equations 5x – 4y = 23 7x + 8y = 5 F. G. H. J. (2, 3) (3, -2) (-2, 3) (-3, 2) Secondary Mathematics 2013 10 Algebra HSA Spring Break Practice Name: _____________________________ 23.) What is the equation of the line that passes through the points (1,3) and (8,5)? A. y + 1 = 2(x + 3) 7 C. y – 1 = 2(x + 3) 7 B. y – 5 = 2(x – 8) 7 D. y + 5 = 2(x – 8) 7 24) Look at the graph below Which of the tables corresponds to the graph? F. G. H. J. Secondary Mathematics 2013 11 Algebra HSA Spring Break Practice Name: _____________________________ 25. The school store did a study comparing the cost of a sweatshirt with the number of sweatshirts sold. The price was changed several times and the numbers of sweatshirts sold were recorded. Select the scatter plot that corresponds to the data shown in the table below. A. C. B. D. Secondary Mathematics 2013 12