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

Transcription

1 Express each ration as a fraction in simplest form nd Semester Pre-Algebra Practice Exam girls out of 24 students ounces to 3 cups 3. Jean got 12 hits out of 16 times at bat. Express this rate as a fraction in simplest form. Find each square root ± 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 Express each rate as a unit rate. Round to the nearest tenth, if necessary $25.97 for 8 boxes meters in 5 minutes

2 Find the area of each circle. Round to the nearest tenth r = 8cm 13. d = 13 ½ inch 14. On the scale drawings at the museum, 0.5 in = 10 ft. Find the actual length of each gallery below. 6.6 Gallery Modern Art Middle Ages Drawing Length 6 in 4.25 in Name the sets of numbers to which each real number belongs. List whole, integer, rational, or irrational / The following figures are similar. Determine the missing measurement. 6.7 A Angle A W, Angle C Y, and Angle D X C D Y X AC = 18 in., CD = 24 in., WY = x in., YX = 9.6 in. Write each fraction as a percent / / In Mr. Henderson s math class, 20 out of 25 students earned a grade of A or B. What percent is this? 7.1

3 Write each percent as a decimal nd Semester Pre-Algebra Practice Exam % % % Write each decimal or fraction as a percent. Round to the nearest tenth if necessary /7 28. A swimming pool is being drained at a rate of 50 gallons per hour. How many milliliters/second is this? 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 x 6 x 6 x 6 x (f) (f) (g) (g) (g) (g) Find the volume of each figure. Round to the nearest tenth, if necessary h = 9in., r = 3in. 34. r = 7m 35. l = 3ft, w = 3ft, h = 5ft 36. Find the measures of variation and any outliers for each set of data The number of minutes spent reading each night: 31, 33, 32, 34, 35, 33

4 Solve each problem using a percent equation is what percent of 68? 38. What is 16 2/3 % 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 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: Triangle ABC Triangle 43. Angle A Angle 44. Angle F Angle Find the selling price for each item given the cost and the percent of markup or discount Tennis shoes: $85.00; 24% discount 46. Portable MP3 player: $150.00; 36% markup Find each product or quotient. Express using exponents (-7) (-7) 49. m 3 m (5a 3 ) (-6a 4 ) 51. k 10 k 4

5 52. 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? Permutations and Combinations 13.9 How many different ways can you select 8 prizes out of 20 choices? Given the set of data 45, 62, 72, 51, 68, 47, 69, 50, 76, find the following Median 55. Mean 56. Mode 57. Upper and Lower Quartiles 58. Display the table below in a Stem and Leaf Plot: 13.2 Heights of football players (in.) Solve each proportion = = 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 rig 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

6 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 Find the volume of each cylinder. Round to the nearest tenth, if necessary r = 4.5cm, h = 7cm 68. d = 6 in., h = 10in. 69. Frank s & Shandra s times for last 8 races are shown below. In general, which runner has a faster time? 13.2 Racing Times in Minutes Frank Stem Shandra

7 70. 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 o o 84 o x o x o 63 o Find the number of possible outcomes for each situation coins are tossed 74. A number cube is rolled 3 times Estimate % of /6 % of % of 150 Write each percent as a fraction in simplest form % % %

8 Find the volume of each prism nd Semester Pre-Algebra Practice Exam 81. h = 4cm, b = 3cm, l = 10cm 82. h = 3in., w = 5 in., l = 3in. Evaluate each expression Find the number of possible outcomes for each situation Pants: tan or black 87. Socks: blue or black 88. Shirt: red, blue or green Permutations and Combinations In how many ways can 5 runners come in 1 st, 2 nd, or 3 rd place? 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 Replace each space with either <, >, or = to make a true statement /9-124 Probability of compound events 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)

9 Find the measure of an interior angle of each regular polygon Hexagon gon Functions Determine whether the relation (5,3), (-5, 4), (4, 2) (4,1) is a function. Explain 8.1 Find the area of each figure h = 10 ft., b = 12ft 98. b = 4.2cm, a = 4.4 cm 99. Below is the cost of an ice cream cone at different years. Is the relation a function? Explain 8.1 Year Cost($) Find the value of x in each triangle. Then classify each triangle by its angles and by its sides o 25 o x o. x o 60 o Complete each conversion. Round to the nearest hundredth in com fl. oz. ml L gal

10 Write an equation that describes each sequence. Then find the indicated term , 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 and any outliers for the set of data 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? 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 to solve each problem is what percent of What is 63% of 130? is 80% of what number? Find two solutions of each equation. Write the solution as an ordered pair y = -5x 114. y = x x + y = 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? 6.6 Solve each equation. Round to the nearest tenth, if necessary D 2 = y 2 = 5.76

11 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 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 = - 3/4, x = 4, y = 1, z = X (y + z 3 ) 126. w 4 x 2 yz Factor each monomial r pq ab Find the Value of x in each quadrilateral. Then find the missing angle measures A = x, B = 159 o, C = 3x o, D = 77 o

12 131. A = (x + 2), B = 90 o, C = x o, and D = 72 o A B D C 132. An eight pack of juice boxes costs $4.79, and a twelve pack of juices boxes costs $6.59. Which is a better buy? Explain Using Sampling to Predict To determine the weekly top ten songs, the local radio station asks people to log onto their Website and vote for their favorite song. Identify the sample as biased or unbiased and describe its type. Explain 13.7 Find the slope of the line that passes through each pair of points 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 Powers of Monomials (2 6 ) (3x 7 ) (-2n 4 ) (5w 5 x 8 ) 3

13 Find the missing length of each triangle. Round to the nearest tenth, if necessary Side a = 30 in, side b = 40 in, side c = x in 144. side a = 6ft, side b = 5ft, side c = x ft. Find the circumference of each circle. Round to the nearest tenth r = 20km 146. d = 14 yd 147. r = 13.5mm 148. d = 5 1/3 ft 149. Make sure you do problem 20 on page 800 and problem 21 on page 801. They go over Box and Whisker Plots as well as Histograms Constant Rate of Change and Direct Variation: Do problem 26 on page 460, Area of Composite Figure: Do problems 40 and 41 on page 654, Three-Dimensional Figures: Do problems 9, 11, and 12 on page 717, 12.1