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Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ 1.) What is the value of: 1 12 + 7? 2.) What is the value of: 4(2 – 5) – 9? 3.) Find the value of: 48 3(2 + 6) ? 4.) Translate the phrase the difference of q and 10 into an algebraic expression. 5.) Write a phrase that represents the expression: 7(x + 6) 6.) What is the solution of b if the quotient of b and 9 is 3? 7.) Replace with <, >, or = to make a true statement if m = -2 . 3m 6m 2 5 8.) Round $65.73 to the nearest dollar. 9.) What set of numbers best describes: {1, 2, 3, 4, 5} 10.) Name all the sets that –2 would be an element of: 11.) Name the set of numbers to which 4 does NOT belong: 12.) Find –0.002 + 0.08 Problems 13-15: What symbol can replace the 13.) –5 4 3 14.) (1.2)(–4) 15.) 1 4 –10 2 5 16.) Simplify the expression 12n – 3 + 2n 17.) Find the value of: –w + 16, if w = –32 18.) Simplify 7.2x + 9.1x – 21.6x 19.) Simplify 14 + 3(2x – 7) + 1 to make a true statement? Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ 1 1 and z = 2 2 4 21.) Evaluate 2k + h – 8, if h = 7 and k = 6 20.) Evaluate: x + z, if x = 22.) Evaluate 4w + 4x – y, if w = 7, x = 2, and y = -11. 23.) Solve 6x = 36. 24.) Solve r = –19.34 – (–7.4) 25.) Solve a – 2.8 = 7.9 y = –60.4 9 .2 x 27.) Solve + 10 = 5 5 26.) Solve 28.) Solve 2(x + 8) – 1 = 8x + 5 29.) Solve 5k – 1 = 3(k – 11) 30.) The graph shows the solution set for which inequality? –5 –4 –3 –2 –1 0 1 31.) Solve: –936 < x + 4621 32.) Solve: 2t < 48 33.) Solve: x – 2.4 > –2.9 34.) Solve: 2x – 3 > 27 35.) Solve: –10y – 6 < –36 36.) Solve x – 2 < 32 3 37.) Express 0.25 as a fraction in simplest form. 38.) Express the ratio of 250 miles in 4 hours as a unit rate. 2 3 4 5 Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ 39.) Choose the pair of ratios that form a proportion. A. 3 6 , 5 10 B. 4 2 , 9 7 C. 9 7 , 12 8 40.) Solve the proportion: 3 4 2a 7 41.) A chili recipe calls for 6 pounds of ground beef for 25 servings. How many pounds of beef are needed for 30 servings? 42.) Express 2 as a percent. 5 43.) What is 75% of 60? 44.) Fifteen is what percent of 80? 45.) Express 0.0105 as a percent 46.) Express 2.6% as a decimal 47.) 19 is 25% of what number? 48.) Karen buys a swimsuit marked $75. She receives a 30% discount. Find the selling price of the swimsuit. 49.) A $550 speaker is marked down to $412.50. Find the percent of decrease in price. 50.) What is the name of the number that occurs most frequently in a set of numbers? 51.) A bag contains 6 blue, 11 black, 4 red, and 4 yellow marbles. You select one marble at random. Find P(black). 52.) Suppose you roll a die. Find P(odd). 53.) Suppose you roll a die. Find P(prime). Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ 54.) Which number would not appear either as a stem or as a leaf when drawing a stemn-leaf plot of these test scores: 88, 64, 73, 68, 75, 70, 80, 77? A. 8 B. 9 C. 5 Use the box-n-whisker plot below to answer 55-57. 55.) What is the range? 50 60 70 80 90 100 110 120 130 140 56.) Find the median. 57.) What are the upper and lower quartiles, respectively. 58.) Find the perimeter of a square measuring 10 centimeters on each side. 59.) Find the area of the rectangle. 3 cm 12 cm 60.) Write 0.0082 in scientific notation. 61.) Write 231,000,000 in scientific notation. 62.) Write 3.012 x 10 3 in standard form. 63.) Use the formula C = 2r, where C = circumference, r = radius, and = 3.14, to find the circumference of a circle whose radius is 1.5 meters. 64.) Dallas wants to buy a classic guitar that costs $905. He has saved $425 from money he made cutting neighbors’ lawns. If he can save $60 per month, how long will it take him to save enough money to buy the guitar? Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ Use the coordinate system below to answer questions 65 & 66. 65. Choose the point for the ordered pair (3, 0) 66. Choose the ordered pair for the point labeled R. Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ No Calculator Simplify. (1 point each) 1.) 5 + (–3) 2.) –7 + (–3) 3.) –8 + 4 4.) –1 + 7 + (–6) 5.) –6 – 5 6.) 9 – (–10) 7.) –11 – (–2) 8.) 4 – (–11) – 9 9.) –3 – 7 + 5 10.) (–8)(3) 11.) (–2)(–8) 12.) (7)(–4) 13.) (–3)(4)(–5) 14.) (4)(0)(–5) 16.) 20 4 19.) 5 – (3 – 7) 22.) 2z + 4z – 8z 17.) 58 2 20.) –8x + 6x 15.) 12 3 18.) (4 – 7)(1 + 2) 21.) – y – 11y Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ Solve each equation. (2 points each) 23.) y – (–15) = 13 24.) x – 27 = –6 25.) –8m = –32 26.) 27.) k = –17 2 x = –23 2 28.) m – (–8) = –10 29.) 4m + 2 = 37 30.) –5n – (–1) = 20 31.) 14x – 7 + 6x = 10 + 2x 32.) –3(x – 8) = –4(x + 3) Pre-Algebra Final Exam Review Name __________________________ Date __________________ Period ___ Pre-Algebra Written Response (4 points each) 1. Twenty people were asked how many miles they drive each day. Here are the results: 17, 30, 29, 37, 14, 77, 62, 37, 42, 52, 37, 40, 34, 47, 44, 49, 37, 32, 27, 22 A. Construct a Stem-N-Leaf Plot for the data. B. Find the mean, median, mode, and range.