3. Jean got 12 hits out of 16 times at bat. Express this rate as a fraction in simplest form.

Transcription

1 Express each ratio as a fraction in simplest form. (6.1) 2 nd Semester Pre-Algebra Practice Exam girls out of 24 students ounces to 3 cups (1 cup = 8 ounces) 3. Jean got 12 hits out of 16 times at bat. Express this rate as a fraction in simplest form. Find each square root. (10.1) ± 1 7. Determine whether the set of numbers below is proportional. Explain (6.4) Number of People _ Brownies Eaten Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. (11.5) Express each rate as a unit rate. Round to the nearest tenth, if necessary. (6.2) 10. $25.97 for 8 boxes meters in 5 minutes 12. Sebastien purchased tickets to Disney World for $97.19 including tax. The ticket cost $ About what percent of sales tax did he pay?

2 Find the area of each circle. Round to the nearest tenth. (11.8) 13. r = 8cm 14. d = 13 ½ inches Name the sets of numbers to which each real number belongs. List whole, integer, rational, or irrational. (10.2) / The following figures are similar. Determine the missing measurement for triangle CAD and YWX (6.7) Find WY: A W C D Y X AC = 18 in., CD = 24 in., YX = 9.6 in. Write each fraction as a percent. (7.1) In Ms. Fay s math class, 20 out of 25 students earned a grade of A or B. What percent is this? (7.1) Write each percent as a decimal. (7.2) % % %

3 Write each decimal or fraction as a percent. Round to the nearest tenth if necessary. (7.2) A swimming pool is being drained at a rate of 50 gallons per hour. How many milliliters/second is this? 1 gal 3.785L 3600 sec 1 hour 1000mL 1 L 29. In a survey, 0.2 of American households own a dog, one-fourth own cats, and 7% own a bird. Which group is the largest? Explain. (7.2) Write each expression using exponents. (9.1) x 6 x 6 x 6 x (f) (f) (g) (g) (g) (g) 33. Solve for x Find the volume of each figure. Round to the nearest tenth, if necessary. (12.4) 34. r = 7m 35. l = 3ft, w = 3ft, h = 5f

4 36. Find the measures of variation (range, UQ, LQ, IQR) and any outliers for each set of data. (13.3) The number of minutes spent reading each night: 31, 33, 32, 34, 35, 33 Solve each problem using a percent equation or percent proportion. (7.5) is what percent of 68? 38. What is % of 24? is 20% of what number? Find the percent of change, round to the nearest tenth, if necessary. Then state whether the percent of change is an increase or decrease. (7.6) 40. From 55 lb. to 24 lb. 41. From $55.75 to $75.00 Name the corresponding parts in the congruent triangles below. Then complete the congruence statement: (11.2) 42. QRP 43. A 44. R Find the selling price for each item given the cost and the percent of markup or discount. (7.6) 45. Tennis shoes: $85.00; 24% discount 46. Portable MP3 player: $150.00; 36% markup

5 Find each product or quotient. Express using exponents. (9.3) (-7) (-7) 49. m 3 m (5a 3 ) (-6a 4 ) 51. k 10 K The number of pints of mint chocolate chop sold last week was 88. If this week 110 pints were sold, what was the percent of increase? (7.6) 53. Combinations (13.9) How many different ways can you select 8 prizes out of 20 choices? Given the set of data 17, 16, 13, 17, 17, 10, 10, 13, 10 find the following (13.1) 54. Median 55. Mean 56. Mode 57. Sebastien counted the number of oreo s his 10 classmates had, he found that the mean was He then added in his own oreos and found that the mean was now 55 oreos. How many oreos did Sebastien have? 58. Display the table below in a Stem-and-Leaf Plot: (13.2) Heights of football players (in.)

6 Solve each proportion. (6.5) = = 5.5 A homeowner whose house is assessed for a 4 21 t $120,000 pays $1800 in taxes. At the same rate, what is the tax on a house assessed at $135,000? 62. A customer at the ring toss booth gets 8 rings for $2.00 Write an equation relating the cost to the number of rings. At this same rate, how much would a customer pay for 11 rings? For 20 rings? (6.4) In the figure below, m n and r is a transversal. If m 4 = 112 o, find the measure of each angle. Explain your reasoning. (11.1) Find the volume of each cylinder. Round to the nearest tenth, if necessary. (12.3) 67. r = 4.5cm, h = 7cm 68. d = 6 in., h = 10in.

7 69. Frank s & Shandra s times for the last 8 races are shown below. In general, which runner has a faster mean time? (13.2) Racing Times in Minutes Frank Stem Shandra A mosaic is created using rectangular blocks. Block A has a length of 5 cm and a width of 2.5 cm. Block B is similar to Block A and has a length of 7 cm. What is the width of block B? (6.7) Find the value of x in each triangle. Then classify each triangle by its angles and by its sides. (10.3) o o 84 o x o x o 63 o Find the number of possible outcomes for each situation. (13.8) coins are tossed 74. A number cube is rolled 3 times Estimate. (7.4) % of % of % of 150

8 Write each percent as a fraction in simplest form. (7.1) % % % Find the volume of each prism. (12.2) 81. h = 4cm, b = 3cm, l = 10cm 82. h = 3in., w = 5 in., l = 3in. Evaluate each expression. (9.1) Find each value. (13.8) 86. P(5,5) State whether the following two questions are a permutation or combination, then solve. (13.8) 87. How many ways can 3 different movies be picked from 15 different movie choices? 88. A Walnut student surveys classmates during lunch and asks them to rank their favorite food out of 5 choices. Is this a permutation or combination? How many different rankings are possible? 90. At 7 feet 8 inches, the world s tallest woman casts a 46-inch shadow. At the same time, the world s shortest woman casts a 15.5 inch shadow. How tall is the world s shortest woman? (6.9)

9 x o x o 60 o 2 nd Semester Pre-Algebra Practice Exam Replace each space with either <, >, or = to make a true statement. (10.2) /9-124 Probability of compound events. (13.10) 93. A box contains 8 red m&m s, 5 green m&m s, 5 blue m&m s. Once an m&m is pulled from the bag, it is eaten. Find each probability below P(red, then green m&m) P(red, then red m&m) P(blue, then red m&m) P(green, then green m&m) Find the rate of change for each linear function. (8.4) 94. Time (hr) x Distance(km) y Explain why a horizontal line represents a rate of change of zero, but a vertical line cannot be used to represent a rate of change. Functions. (8.1) 96. Determine whether the relation (5,3), (-5, 4), (4, 2) (4,1) is a function. Explain State the slope and the y-intercept of the graph of each equation. (8.7) 97. 3x + y = y x =17 Find the value of x in each triangle. Then classify each triangle by its angles and by its sides. (10.3) o 25 o

10 101. Below is the cost of an ice cream cone at different years. Is the relation a function? Explain (8.1) Year Cost($) Complete each conversion. Round to the nearest hundredth. (6.3) 1 in cm 1oz ml 1L gal in cm fl. oz. ml L gal Write an equation that describes each sequence. Then find the indicated term. (8.2) , 10, 14, 18, ; 47 th term , 14, 21, 28, ; 50 th term 107. Claire earned $5, $7, $10, $6, $8 doing errands for her neighbors. Find the measures of variation (range, UQ, LQ, IQR) and any outliers for the set of data. (13.3) 108. The length of a highway is 900 miles. If 0.5 inch on a map represents 50 miles, what is the length of the highway on the map? (Hint: Solve using a proportion) (6.6) 109. The largest known pyramid is the Pyramid of Khufu. At a certain time of day, a vertical yard stick casts a shadow 1.5 feet long, and the pyramid casts a shadow 241 feet long. How tall is the pyramid? (6.9) Use the percent proportion or percent equation to solve each problem. (7.3) is what percent of What is 63% of 130? is 80% of what number?

11 Find two solutions of each equation. Write the solution as an ordered pair. (8.3) 113. y = -5x 114. y = x x + y = -1 Solve each equation. Round to the nearest tenth, if necessary. (10.2) 117. D 2 = y 2 = 5.76 There are 2 blue marbles, 5 red marbles, and 8 green marbles in one bag. One marble is selected at random. Find the probability of the following outcomes. (13.6) 119. P(red) 120. P(blue or green) 121. P(not blue) 122. P(yellow) 123. Find the Rate of Change for the linear function shown below. (8.4) Time (h) x Money Earned ($) y Evaluate each expression if w = - 4 3, x = 4, y = 1, z = -5 (9.1) 124. x (y + z 3 ) 126. w 4 x 2 yz Factor each monomial completely. (9.2) r pq ab 2

12 130. Find the value of x in each quadrilateral. Then find the missing angle measures. (11.4) m A = x, m B = 159 o, m C = 3x o, and m D = 77 o 131. A = (x + 2), B = 90 o, C = x o, and D = 72 o A B D C 132. An eight pack of juice boxes cost $4.79, and a twelve pack of juices boxes cost $6.59. Which is a better buy? Explain (6.2) Using Sampling to Predict. (13.7) 133. To determine the how many students like pizza, 200 students are randomly selected from the yearbook and then surveyed at lunch. State if this is biased or unbiased, its type and then explain. 13.7

13 Find the slope of the line that passes through each pair of points. (8.6) 134. F(0,1), G(6, 4) 135. A(-3, 7), G(5, -1) Write the Prime Factorization of each number. Use exponents for repeated factors. (9.2) Powers of Monomials. (9.6) 139. (2 6 ) (3x 7 ) (-2n 4 ) (5w 5 x 8 ) 3 Find the missing length (x) of each triangle. Round to the nearest tenth, if necessary. (10.4) 143. Side a = 30 in, side b = 40 in, side c = (x) in = in 144. Side a = 6ft, side b = 5ft, side c = (x) ft.= Find the circumference of each circle. Round to the nearest tenth. (11.7) 145. r = 20km 146. d = 14 yd 147. r = 13.5mm 148. d = 5 1/3 ft

14 149. and 150. Do problem 20a (149) and 20b. (150) on page Do problem 21 on page 801. Problems 20 on page 800 and 21 on 801 go over Box and Whisker Plots as well as Histograms. (13.4) 152. Constant Rate of Change and Direct Variation: Do problem 26 on page 460, (8.5) 153. Area of Composite Figure: Do problem 40 on page 654 (11.9) 154. Do Problem 41 on page 654, (11.9)