11-1 Square-Root Functions 11-2 Radical Expressions

1. Lesson Quizzes Preview 11-1 Square-Root Functions 11-2 Radical Expressions 11-3 Adding and SubtractingRadical Expressions 11-4 Multiplying and Dividing Radical Expressions 11-5 Solving Radical Equations 11-6 Geometric Sequences 11-7 Exponential Functions 11-8 Exponential Growth and Decay 11-9 Linear, Quadratic, and Exponential Models

2. 11-1 Square-Root Functions Lesson Quiz: Part I 1. Use the formula to find the radius of a circle whose area is 28 in2. Use 3.14 for . Round your answer to the nearest tenth of an inch. 3.0 in. Find the domain of each square-root function. x ≥ 0 2. 3. x ≥ 5 4.

3. 11-1 Square-Root Functions Lesson Quiz: Part II Graph each square-root function. 5. 6.

4. 11-2 Radical Expressions Lesson Quiz: Part I Simplify each expression. 1. 6 2. |x + 5| Simplify. All variables represent nonnegative numbers. 3. 4. 5. 6.

5. mi; 11.7 mi 11-2 Radical Expressions Lesson Quiz: Part II 7. Two archaeologists leave from the same campsite. One travels 10 miles due north and the other travels 6 miles due west. How far apart are the archaeologists? Give the answer as a radical expression in simplest form. Then estimate the distance to the nearest tenth of a mile.

6. 11-3 Adding and Subtracting Radical Expressions Lesson Quiz: Part I Add or subtract. 1. 2. 3. Simplify each expression. 4. 5.

7. ft 11-3 Adding and Subtracting Radical Expressions Lesson Quiz: Part II 6. Find the perimeter of the trapezoid. Give the answer as a radical expression in simplest form.

8. 11-4 Multiplying and Dividing Radical Expressions Lesson Quiz Multiply. Write each product in simplest form. All variables represent nonnegative numbers. 1. 2. 3. 4. 5. 6. 7. Simplify each quotient. All variables represent nonnegative numbers. 8. 9.

9. 7. A triangle has an area of 48 square feet, its base is 6 feet, and its height is feet. What is the value of x? What is the height of the triangle? 11-5 Solving Radical Equations Lesson Quiz Solve each equation. Check your answer. 1. 2. 36 45 ø 3. 4. 11 5. 4 6. 4 253; 16 ft

10. 11-6 Geometric Sequences Lesson Quiz: Part I Find the next three terms in each geometric sequence. 1. 3, 15, 75, 375,… 2. 3. The first term of a geometric sequence is 300 and the common ratio is 0.6. What is the 7th term of the sequence? 4. What is the 15th term of the sequence 4, –8, 16, –32, 64, …? 1875; 9375; 46,875 13.9968 65,536

11. 11-6 Geometric Sequences Lesson Quiz: Part II 5. The table shows a car’s value for three years after it is purchased. The values form a geometric sequence. How much will the car be worth after 8 years? $5770.39

12. 11-7 Exponential Functions Lesson Quiz: Part I Tell whether each set of ordered pairs satisfies an exponential function. Explain your answer. 1. {(0, 0), (1, –2), (2, –16), (3, –54)} No; for a constant change in x, y is not multiplied by the same value. 2. {(0,–5), (1, –2.5), (2, –1.25), (3, –0.625)} Yes; for a constant change in x, y is multiplied by the same value.

13. 11-7 Exponential Functions Lesson Quiz: Part II 3. Graph y = –0.5(3)x.

14. 11-7 Exponential Functions Lesson Quiz: Part III 4. The function y = 11.6(1.009)x models residential energy consumption in quadrillion Btu where x is the number of years after 2003. What will residential energy consumption be in 2013?  12.7 quadrillion Btu 5. In 2000, the population of Texas was about 21 million, and it was growing by about 2% per year. At this growth rate, the function f(x) = 21(1.02)x gives the population, in millions, x years after 2000. Using this model, in about what year will the population reach 30 million? 2018

15. 11-8 Exponential Growth and Decay Lesson Quiz: Part I 1. The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation. Then find the number of employees in the company after 9 years. y = 1440(1.015)t; 1646 Write a compound interest function to model each situation. Then find the balance after the given number of years. 2. $12,000 invested at a rate of 6% compounded quarterly; 15 years A = 12,000(1.015)4t, $29,318.64

16. 11-8 Exponential Growth and Decay Lesson Quiz: Part II 3. $500 invested at a rate of 2.5% compounded annually; 10 years A = 500(1.025)t; $640.04 4. The deer population of a game preserve is decreasing by 2% per year. The original population was 1850. Write an exponential decay function to model the situation. Then find the population after 4 years. y = 1850(0.98)t; 1706 5. Iodine-131 has a half-life of about 8 days. Find the amount left from a 30-gram sample of Iodine-131 after 40 days. 0.9375 g

17. 11-9 Linear, Quadratic, and Exponential Models Lesson Quiz: Part I Which kind of model best describes each set of data? 1. 2. quadratic exponential

18. 11-9 Linear, Quadratic, and Exponential Models Lesson Quiz: Part II 3. Use the data in the table to describe how the amount of water is changing. Then write a function that models the data. Use your function to predict the amount of water in the pool after 3 hours. Increasing by 15 gal every 10 min; y = 1.5x + 312; 582 gal