6. four inches less than Kimi 7. the quotient of a number and nine, minus three

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1 Semester Exam Practice Test Short Answer 1. The bus station sends buses out on regular intervals to a neighboring city. The first four departure times are shown below. Use the four-step plan to find the earliest time Diego can catch the bus if he cannot leave until 2:15 P.M. Departures 9:15 A.M. 9:53 A.M. 10:31 A.M. 11:09 A.M. Write a numerical expression for each verbal phrase. 2. the quotient of eight and two 3. sixteen less than eight Evaluate each expression if x = 14, y = 5, and z = Translate each phrase into an algebraic expression. 6. four inches less than Kimi 7. the quotient of a number and nine, minus three 8. seven times a number, decreased by ten 9. two less than a number, divided by four 10. the difference of nine and twice a number Name the property shown by each statement = (4 + 17) = (31 + 4) + 17 Simplify each expression (x + 4) Translate the verbal sentence into an equation and solve. 18. Forty-two is the product of 6 and a number. 19. The quotient of 10 and a number is Forty-nine is the sum of 7 and a number. 21. The difference of a number and 9 is Order the integers {0, 20, 3, 19, 13} from least to greatest.

2 23. Evaluate the expression if x = 1 and y = 19. Find each sum or difference Evaluate each expression if x = 19, y = 15, and z = 16. Find each product or quotient Use the Distributive Property to write each expression as an equivalent algebraic expression Solve each equation. Check your solution Find each number. 35. Fifteen less than twice a number is 53. Solve. 36. Nine more than six times a number is 39. Solve. 37. Twelve more than negative three times a number is 27. Solve. 38. Five more than the quotient of a number and four is 7. Solve. 39. Fourteen less than the quotient of a number and 7 is 8. Solve. Translate each sentence into an equation. Then find each number. 40. Two less than the product of a number and 5 is The difference between four times a number and six is 46. Solve each problem by writing and solving an equation. 42. Isabel and Ruth scored a total of twenty-two points in their last basketball game. Ruth scored two more points than Isabel. How many points did Isabel score? 43. Together Sarah and Juan ate twenty-six crackers. If Juan ate four more than Sarah, how many crackers did Sarah eat?

3 List all the factors of the number Write the expression using exponents Evaluate if x = 2 and y = Evaluate if b = Write the prime factorization of the number. Use exponents for repeated factors Factor the monomial. 51.Find the GCF of the set of numbers or monomials., Factor the expression Simplify the fraction. If the fraction is already in simplest form, choose simplified Find the product or quotient. Express using exponents Write the fraction as an expression using a negative exponent other than Evaluate if and. 60. Evaluate if. 61. Express in standard form. 62. Express 80,700 in scientific notation. Write the fraction or mixed number as a decimal. Use a bar to show a repeating decimal Write the decimal as a fraction or mixed number in simplest form. 65. Find the product. Write the answer in simplest form.

4 66. What is the area of a rectangle measuring m by m? 67. A car is traveling at an average rate of 60 mph. How far will the car travel in hours? 68. Bananas cost $0.45 per pound. How much will it cost to buy of a pound of bananas? 69. It is miles from Aaron s house to Curtis s house. If Aaron runs of the way to Curtis s house without stopping, how far does Aaron run? 70. Katsu can do 35 sit ups in one minute. How many can she do in 36 seconds? Find the quotient. Write the answer in simplest form To make one decorative pillow, yard of fabric is required. How many pillows can be made from a 6 yard bolt of fabric? 73. How long does it take a bus traveling 40 mph to go 130 miles? 74. How many rooms can be painted using 5 gallons of paint if each room averages gallon of paint? Find the sum or difference. Write the answer in simplest form ( ) Find the least common multiple (LCM) of the set of numbers or monomials. 78. Consider the following set of data: 14.4, 13.9, 13.7, 13.5, 13.5, 12.6, 18.8, 13.9, 15.9, 13.5, 15.2, What is the mean of this data? If necessary, round to the nearest tenth. 80. What is the median of this data? If necessary, round to the nearest tenth. 81. What is the mode of this data? 82. Solve the equation.

5 83. If a recipe calls for made with 3 pounds of ground beef? pounds of ground beef to make 2 pounds of chili, how many pounds of chili can be 84. A department store is having a sale on coats. How much would a coat cost if it were off of the original price of $82.00? 85. What is the perimeter of a square with side length 3.4 cm? State whether the sequence is arithmetic or geometric. If it is arithmetic or geometric, state the common difference or common ratio and write the next three terms of the sequence , 1, 2, 5, , 4, 1, 1 4,... Express each ratio as a fraction in simplest form laptops out of 116 computers gallons to 27 quarts Express each ratio as a unit rate. Round to the nearest tenth, if necessary miles in 2.5 hours 91. $5 for 10 cans of soup Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary mi / h = ft / min cm / s = m / h qt / min = gal / h mi /h = ft / s Solve each proportion Write a proportion that could be used to solve for each variable. Then solve balls in 2 boxes 99. d dollars for 18.4 quarts 78 balls in x boxes9 24 dollars for 6 quarts pints for $ pens in 25 boxes p pints for $ pens in y boxes The Empire State Building in New York City is 1250 feet tall. It took 30,000 workers only 1 year and 45 days to build, which is a record for a skyscraper. On a scale model of the building, the height is 25 inches What is the scale of the Empire State Building model? 103. What is the scale factor of the Empire State Building model?

6 Express the percent as a fraction or mixed number in simplest form % % Express the fraction as a percent. Round to the nearest tenth percent, if necessary Express each percent as a decimal % % Use the percent proportion to solve each problem. Round to the nearest tenth is what percent of 120? is 80% of what number What is 78% of 40? 113. What percent of 5 is 3.2? Find the percent of each number mentally % of % of The following table shows the ceramic heater sales and returns for the first six months of the year. Month Sales Returns January 23, February 20, March April May June Which month had returns that were about 50% of those in January? 117. The United States is the world s leading exporter of wheat with approximately 27.8 billion metric tons per year. Suppose Turkey exports 10% of the U.S. total. About how many metric tons are exported by Turkey? Solve each problem using the percent equation is what percent of 32? is 65% of what number? 120. What is 14% of 84? 121. A television that normally sells for $459 is on sale at a 30% discount. What is the sale price of the television?

7 122. How long will it take to earn $525 in interest if $3500 is invested at a 6% annual interest rate? 123. A coat is on sale at a 20% discount. Find the sale price of the coat if it normally sells for $79? Find the percent of increase or decrease. Round to the nearest tenth, if necessary from 15 lb to 31 lb 125. from 43 m to 23 m 126. Suppose 42 stamps are added to a stamp collection that has 30 stamps. What is the percent of change? Round your answer to the nearest tenth, if necessary There were 32 students in the Math Club. Five students transferred to the Chemistry Club. Find the percent of change in the number of students in the Math Club. Round your answer to the nearest tenth, if necessary. There are 3 red ribbons, 5 blue ribbons and 2 green ribbons in a drawer. Suppose one ribbon is selected at random. Find the probability of the outcome. Express each probability as a fraction and as a percent P(green) 129. P(not red) 130. P(red or green) How Often We Check 76% 23% 1% Daily Weekly Less Than Weekly 131. According to the graph, out of 2500 people, how many would you expect check daily? 132.Out of 4000 people, how many would you expect check less than once per week? Also, use your Chapter 7 Test as a study guide for that section.