Transcript ch10_quiz
Lesson Quizzes Preview 10-1 Inverse Variation 10-2 Rational Functions 10-3 Simplifying Rational Expressions 10-4 Multiplying and Dividing Rational Expressions 10-5 Adding and Subtracting Rational Expressions 10-6 Dividing Polynomials 10-7 Solving Rational Equations 10-8 Applying Rational Equations 10-1 Inverse Variation Lesson Quiz: Part I 1. Write and graph the inverse variation in which y = 0.25 when x = 12. 10-1 Inverse Variation Lesson Quiz: Part II 2. The inverse variation xy = 210 relates the length y in cm to the width x in cm of a rectangle with an area of 210 cm2. Determine a reasonable domain and range and then graph this inverse variation. 10-1 Inverse Variation Lesson Quiz: Part III 3. Let x1= 12, y1 = –4, and y2 = 6, and let y vary inversely as x. Find x2. –8 10-2 Rational Functions Lesson Quiz: Part I Identify the exceeded value for each rational function. 1. 0 5 2. 3. Identify the asymptotes of graph the function. and then x = –4; y = 0 10-2 Rational Functions Lesson Quiz: Part II 4. You have $100 to spend on CDs. A CD club advertises 6 free CDs for anyone who becomes a member. The number of CDs y that you can receive is given by y = where x is the average price per CD. , a. Describe the reasonable domain and range values. D: x > 0 R: natural numbers > 6 10-2 Rational Functions Lesson Quiz: Part III b. Graph the function. 10-3 Simplifying Rational Expressions Lesson Quiz: Part I Find any excluded values of each rational expression. 1. 0 2. 0, 2 Simplify each rational expression, if possible. 3. 5. 4. 10-3 Simplifying Rational Expressions Lesson Quiz: Part II 6. Calvino is building a rectangular tree house. The length is 10 feet longer than the width. His friend Fabio is also building a tree house, but his is square. The sides of Fabio’s tree house are equal to the width of Calvino’s tree house. a. What is the ratio of the area of Calvino’s tree house to the area of Fabio’s tree house? b. Use this ratio to find the ratio of the areas if the width of Calvino’s tree house is 14 feet. 10-4 Multiplying and Dividing Rational Expressions Lesson Quiz: Part I Multiply. Simplify your answer. 1. 2 2. 3. Divide. Simplify your answer. 4. 5. 10-4 Multiplying and Dividing Rational Expressions Lesson Quiz: Part II 6. A bag contains purple and green toy cars. There are 9 more purple cars than green cars. a. Write and simplify an expression to represent the probability that someone will pick a purple car and a green car. b. What is the probability of someone picking a purple car and a green car if there are 12 green cars before the first pick? Round to the nearest hundredth. 0.24 10-5 Adding and Subtracting Rational Expressions Lesson Quiz: Part I Add or subtract. Simplify your answer. 1. 2. 3. 4. 5. 10-5 Adding and Subtracting Rational Expressions Lesson Quiz: Part II 6. Vong drove 98 miles on interstate highways and 80 miles on state roads. He drove 25% faster on the interstate highways than on the state roads. Let r represent his rate on the state roads in miles per hour. a. Write and simplify an expression that represents the number of hours Vong drove in terms of r. b. Find Vong’s driving time if he averaged 55 miles per hour on the state roads. about 2 h 53 min 10-6 Dividing Polynomials Lesson Quiz: Part I Add or Subtract. Simplify your answer. 1. (12x2 – 4x2 + 20x) ÷ 4x 2. 2x + 3 3. x–2 4. x+3 3x2 – x + 5 10-6 Dividing Polynomials Lesson Quiz: Part II Divide using long division. 5. (x2 + 4x + 7) (x + 1) 6. (8x2 + 2x3 + 7) (x + 3) 10-7 Solving Rational Equations Lesson Quiz Solve each equation. Check your answer. 1. 24 –4, 3 2. 3. 4. Solve Check your answer. –5 . 10-8 Applying Rational Equations Lesson Quiz 1. Pipe A can fill a storage tank in 40 minutes. Pipe B can fill the tank in 80 minutes. How long does it take to fill the tank using both pipes at the same time? min, or 26 min 40 s 2. An 8 oz smoothie is made up of 50% strawberries and 50% yogurt. How many ounces of strawberries should be added to make a smoothie that is 60% strawberries? 2 oz 3. Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles? 3 h