Algebra 2 B Unit 2: Radical Functions and Rational Exponents

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 9. Solve. Check for extraneous solutions. (1 point) (5x-4)^1/2-x=0 A. 1,5 B. 1,4 C. 0 D. 0,5

B. 1,4 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 4. Write the expression in rational form. (1 point) t^-3/4 A. ^4√t^3 B. 1/^4√t^3 C. -^4√t^3 D. -^3√t^4

B. 1/^4√t^3 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 8. Simplify the number. (1 point) 16^1.5 A. 4 B. 8 C. 32 D. 64

D. 64 1/1 point

End of (2.4) Rational Exponents Practice- Practice (1-10) 10. Simplify the number. (1 point) (-32)^6/5 A. -4 B. 4 C. -8 D. 64

D. 64 1/1 point The final score is 10/10 (100%). (That is if you put those answers.)

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 7. Solve. Check for extraneous solutions. (1 point) √3x+1-√x+1=2 A. 2,6 B. 0,8 C. 1 D. 8

D. 8 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 5. Write the expression in exponential form. (1 point) (^3√a)^2 A. a^6 B. a^5 C. a^3/2 D. a^2/3

D. a^2/3 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 4. Find the real number roots. (1 point) √-0.25 A. -0.5 B. 0.5 C. 5.5 D. no real number roots

D. no real number roots 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 8. Find the inverse of the function. (1 point) y=-3/x+4 A. x=4y-3/y B. y=4x/3 C. y=x-3/x D. y=-4x-3/x

D. y=-4x-3/x 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 3. You have a coupon good for $5 off the price, p, of any large pizza. You also get a 15% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first, rather than the 15% discount first? (1 point) A. $.75 B. $0.00 C. $.05 D. $1.05

A. $.75 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 8. Let g(x)=3x+2 and f(x)=x-2/3. Find the value. (1 point) f(g(0)) A. 0 B. -2/3 C. 1 D. -1

A. 0 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 1. Find all the real square roots of 0.0036. (1 point) A. 0.06 and -0.06 B. 0.0018 and -0.0018 C. 0.1897 and -0.1897 D. 0.6 and -0.6

A. 0.06 and -0.06 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 1. What is the solution to the equation? (1 point) (-9x+5)^1/2=(3+4x)1/2 A. 2/13 B. 1/12 C. -8/5 D. 13/2

A. 2/13 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 2. Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (1 point) (f×g)(x) A. 2x^3-x^2-4x+3; domain:all real numbers B. 2x^3+x^2-3x; domain: all real numbers C. 2x^3+x^2+4x-3; domain: negative real numbers D. 2x^3+x-3x+3; domain: positive real numbers

A. 2x^3-x^2-4x+3; domain:all real numbers 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 4. Solve. Select all that apply. (2 points) (x+5)^2/3=4 A. 3 B. -13 C. 8 D. -8

A. 3 & B. -13 2/2 points

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 2. Simplify the radical expression. (1 point) ³√125x⁹ A. 5x³ B. 5x⁶ C. 25x³ D. 25x⁹

A. 5x³ 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 8. Graph y=√3x-5-3. (1 point) A. Graph is on google docs. B. Graph is on google docs. C. Graph is on google docs. D. Graph is on google docs. (Graphs are on google docs. Go to https://docs.google.com/document/d/1RzD0Bd-wrnjbLo7ke1lUYg0_aLM_iuj01LXJiy7ELg4/edit?usp=sharing to get the graphs)

A. Graph is on google docs. 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 5. Graph y=3x^2-5 and its inverse. (1 point) A. Graph is on google docs. B. Graph is on google docs. C. Graph is on google docs. D. Graph is on google docs. (Graphs are on google docs. Go to https://docs.google.com/document/d/1TJ3IPGIBNzGlsTEAutK-o7gpmd7V5BMrLAvF-46eS2s/edit?usp=sharing to get the graphs)

A. Graph is on google docs. 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 6. Graph the function y = -0.5√x-3+2. (1 point) A. Graph is on google docs. B. Graph is on google docs. C. Graph is on google docs. D. Graph is on google docs. (Graphs are on google docs. Go to https://docs.google.com/document/d/1yIv1c-1Q0hAlSovvwiGAZSgDskPz6RX4H_6GUnodPzA/edit?usp=sharing to get the graphs)

A. Graph is on google docs. 1/1 point

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 4. Simplest form of expression? (1 point) √20+√45-√5 A. ^4√5 B. ^6√5 C. ^13√5 D. ^5√5

A. ^4√5 1/1 point

End of (2.7) Inverse Relations and Functions Practice- Practice (1-10) 10. Determine where the statement below are always, sometimes, or never true. (1 point) A linear function has an inverse function. A. always true B. sometimes true C. never true

A. always true 1/1 point The final score is 10/10 (100%). (That is if you put those answers.)

End of (2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 8. What is ^3√x^3/^5√x^2 in simplest form? (1 point) A. x^3/5 B. x^5/3 C. x^9/15 D. x^15/9

A. x^3/5 1/1 point The final score is 8/8 (100%). (That is if you put those answers.)

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 4. Find the inverse of the function, and then determine whether the inverse is a function. (1 point) y=x^2+4 A. y= ±√x-4; inverse is not a function B. y= ±√x-4; inverse is a function C. y= 4-x^2; inverse is not a function D. y= 1/x^2+4; inverse is a function

A. y= ±√x-4; inverse is not a function 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 1. Which expression is equivalent to the one shown below? (1 point) (4z)⁻³×(2z)⁵ A. z²/2 B. 2z² C. 8z² D. 5z²/6

A. z²/2 1/1 point

(2.1) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.2) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 1. Find all the real fourth roots of 256/2401. (1 point) A. 4/7 and 16/49 B. -4/7 and 4/7 C. 4/7, -4/7, 16/49, -16/49 D. 4/7

B. -4/7 and 4/7 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 3. Find the real square root of 0.81. (1 point) A. 0.09 B. 0.9 C. 9.0 D. 0.6561

B. 0.9 1/1 point

(2.3) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.4) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.5) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.6) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.7) Do you think you're ready to start the lesson? (Skills Check) (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.8) Do you think you're ready to start the lesson?- Skills Check (1-1) 1. Do you think you are ready to start the lesson? Choose the option that best describes how comfortable you are with the skills on this slide. (1 point) A. I understand these skills and I can explain them to others. I am ready to start the lesson. B. I generally understand these skills. I am ready to start the lesson. C. I understand these skills when I have help. I should practice more before I start the lesson. D. I do not understand these skills. I need more practice before I start the lesson.

All of the answer choices are correct so it wouldn't matter which one you choice but choose whichever one is true for you. The teachers would want you to put A but don't put A if you cant do A. 1/1 point The final score is 1/1 (100%). The final adjusted score is 1/1 (100%). (That is if you put that answers.)

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 2. A relation is given in the graph below. Write out the ordered pairs for the inverse, and then determine if the inverse is a function. (1 point) A. (0,-1), (2,1), (-2,1), (-2,1), (3,3), (-3,3); inverse is not a function B. (0,-1), (2,1), (-2,1), (3,3), (-3,3); inverse is a function C. (-1,0), (1,2), (1,-2), (3,3), (3,-3); inverse is not a function D. (-1,0), (1,2), (1,-2), (3,3), (3,-3); inverse is a function (Graph is on google docs. Go to https://docs.google.com/document/d/1TJ3IPGIBNzGlsTEAutK-o7gpmd7V5BMrLAvF-46eS2s/edit?usp=sharing to get the graph)

B. (0,-1), (2,1), (-2,1), (3,3), (-3,3); inverse is a function 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 1. A relation is given in the table below. Write out the ordered pairs for the inverse, and then determine if the inverse is a function. (1 point) x: 1, 2, 3, 4, y: 0, 1, 0, 2, 0 A. (1,0) (2,1) (3,0) (4,2) (5,0); inverse is not a function B. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is not a function C. (0,1), (1,2), (2,4); inverse is a function D. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is a function

B. (0,1) (1,2) (0,3) (2,4) (0,5); inverse is not a function 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 2. Simplify the expression. (1 point) (-3)^1/3(-3)^1/3(-3)^1/3 A. -9 B. -3 C. 1 D. -27

B. -3 1/1 point

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 7. Kepler's Third Law of Orbital Motion states that you can approximate the period P (in Earth years) it takes a planet to complete one orbit of the sun using the function P=d^3/2, where d is the distance (in astronomical units, AU) from the planet to the sun. How many Earth years would it take for a planet that is 6.76 AU from the sun? (1 point) A. 15.23 B. 17.58 C. 154.46 D. 3.58

B. 17.58 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 9. You can model the population of a certain city between 1955-2000 by the radical function P(x)=55,000 sqrt x-1945. Using this model, in which year was the population of that city 220,000. A. 1949 B. 1961 C. 1953 D. 1957

B. 1961 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 7. You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x)=75,000³√x-1940. Using this model, in what year was the population of that city 245,000? (1 point) A. 1973 B. 1975 C. 1979 D. 1970

B. 1975 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 5. Solve. Check for extraneous solutions. (1 point) √x+7-x=1 A. 1 B. 2 C. -3 D. 9

B. 2 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 8. Solve. Check for extraneous solutions. (1 point) √3x=√x+6 A. 0 B. 3 C. 5 D. 12

B. 3 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 2. Let f(x)= 3x - 6 and g(x) = x -2. Find f/g and its domain. (1 point) A. 3; all real numbers B. 3; all real numbers except x=2 C. 1; all real numbers D. -3; all real numbers except x=3

B. 3; all real numbers except x=2 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 3. Which of the following is equal to √18x^9y^4? A. 3x^2y^2 B. 3x^4y^2√2x C. 9x^3y^2 D. 3x^3y^2√2

B. 3x^4y^2√2x 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 7. Simplify the number. (1 point) 8^2/3 A. 2 B. 4 C. 8.5 D. 16

B. 4 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 3. Solve. (1 point) √3x+4=4 A. 0 B. 4 C. 8 D. 16

B. 4 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 5. For the function 32/x+3, find (g^-1∘ g)(5). (1 point) A. 11 B. 5 C. 1 D. 2

B. 5 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 6. Solve. Check for extraneous solutions. (1 point) (x-2)^1/2-(28-2x)^1/4=0 A. 2,11 B. 6 C. 11 D. 6,-4

B. 6 1/1 point

End of (2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 10. Solve. Check for extraneous solutions. (1 point) √3x+7=x-1 A. 3,5 B. 6 C. 2,5 D. 3

B. 6 1/1 point The final score is 11/11 (100%). (That is if you put those answers.)

(2.4) Rational Exponents Practice- Practice (1-10) 1. Simplify the expression. (1 point) 49^1/2 A. √7 B. 7 C. 49.5 D.7.5

B. 7 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 4. Let g(x)=2x and h(x)=x^2+4. Find the value. (1 point) (h×g)(1) A. 2 B. 8 C.10 D. 16

B. 8 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 5. Let g(x)=2x and h(x)=x^2+4. Find the value. (1 point) (g×h)(0) A. 4 B. 8 C. 0 D. 16

B. 8 1/1 point

End of (2.6) Function Operations Practice- Practice (1-10) 10. Let g(x)=3x+2 and f(x)=x-2/3. Find the value. (1 point) g(g(0)) A. 0 B. 8 C. 6 D. 2

B. 8 1/1 point The final score is 10/10 (100%). (That is if you put those answers.)

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 5. Simplify 9^1/3×81^1/3 (1 point) A. 3√9 B. 9 C. 81 D. √9

B. 9 1/1 point

End of (2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 8. Graph the function 2^3 √x+2+4 (1 point) A. Graph is on google docs. B. Graph is on google docs. C. Graph is on google docs. D. Graph is on google docs. (Graphs are on google docs. Go to https://docs.google.com/document/d/1yIv1c-1Q0hAlSovvwiGAZSgDskPz6RX4H_6GUnodPzA/edit?usp=sharing to get the graphs)

B. Graph is on google docs. 1/1 point The final score is 8/8 (100%). (That is if you put those answers.)

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 6. The formula for converting from Celsius to Fahrenheit temperatures is F=9/5C+32 (1 point) Determine whether the original formula is a function, and whether the inverse is a function A. Original is a function; inverse is not B. Original is a function; inverse is a function C. Original is not a function; inverse is not a function D. Original is not a function; inverse is a function

B. Original is a function; inverse is a function 1/1 point

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 3. A garden has width √13 and length ^7√13. What is perimeter of the garden in simplest radical form? (1 point) A. ^14√13 units B. ^16√13units C. 91 units D. ^8√13 units

B. ^16√13units 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 7. Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=(s^2)/(30.25), where s is the speed in miles per hour and d is the length of the vehicle's skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 160 feet? A. about 36 miles per hour B. about 60 miles per hour C. about 13 miles per hour D. about 54 miles per hour

B. about 60 miles per hour 1/1 point

End of (2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 10. What function is shown by the graph below? (1 point) A. f(x)=√x-2 B. f(x)=√x+2 C. f(x)=√x-2 D. f(x)=√x+2

B. f(x)=√x+2 1/1 point The final score is 10/10 (100%). (That is if you put those answers.)

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 10. What is the inverse of f if f(x)=³√x-4? (1 point) A. f^-1(x)=x^3+64 B. f^-1(x)=x^3+4 C. f^-1(x)=4-³√x D. f^-1(x)=1/³√x-4

B. f^-1(x)=x^3+4 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 6. Find the product. (1 point) √5×^3√5 A. 5^3/2 B. 5^4 C. 5^1/6 D. 5^5/6

D. 5^5/6 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 9. Determine where the statement below are always, sometimes, or never true. (1 point) The inverse of a cubic function is also a function. A. always true B. sometimes true C. never true

B. sometimes true 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 4. What is the simplest form of the expression? (1 point) √3-√6/√3+√6 A. -1-2√18/3 B. -3-2√18/9 C. -3+2√2 D. 9-2√18

C. -3+2√2 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 7. Let f(x)=x-3 and g(x)=x² (1 point) Find f(g(4)). A. 1 B. 9 C. 13 D. 16

C. 13 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 2. Solve. (1 point) √x+1=4 A. 2 B. 8 C. 15 D. 24

C. 15 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 6. What is the simplest form of the number? (1 point) 64^2/3 A. 512 B. 96 C. 16 D. 42.67

C. 16 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 9. Let g(x)=3x+2 and f(x)=x-2/3. Find the value. (1 point) g(f(2)) A. 1 B. 0 C. 2 D. 1/3

C. 2 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 6. What is the solution to x=√3x+10? (1 point) A. -5 and 2 B. 5 and -2 C. 5 D. -2

C. 5 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 9. Scientists can estimate the number of bacteria in a refrigerated food using the formula 0.2b=t²/20 where b is the number of bacteria and t is the time in seconds. What is the approximate time a food was in a refrigerator if there were 625 bacteria? (1 point) A. 30 seconds B. 40 seconds C. 50 seconds D. 60 seconds

C. 50 seconds 1/1 point

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 2. What is a simpler form of the radical expression? (1 point) √36g^6 A. 36|g^3| B. 36g^4 C. 6|g^3| D. 6g^4

C. 6|g^3| 1/1 point

(2.4) Rational Exponents Quiz Part 1- Quiz (1-8) 6. Write the radical expression 8/^7√x^15 in exponential form. (1 point) A. 8x^-7/15 B. 8x^15/7 C. 8x^-15/7 D. 8x^7/15

C. 8x^-15/7 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 5. what is the simplest form of the number? (1 point) 27^2/3 A. 3 B. 6 C. 9 D. 18

C. 9 1/1 point

(2.8) Graphing Radical Functions Quiz Part 1- Quiz (1-8) 4. Graph y = 2x +3 and its inverse. (1 point) A. Graph is on google docs. B. Graph is on google docs. C. Graph is on google docs. D. Graph is on google docs. (Graphs are on google docs. Go to https://docs.google.com/document/d/1yIv1c-1Q0hAlSovvwiGAZSgDskPz6RX4H_6GUnodPzA/edit?usp=sharing to get the graphs)

C. Graph is on google docs. 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 3. Write the expression in rational form. (1 point) x^1/5 A. √5x B. x√5 C. ^5√x D. √x/5

C. ^5√x 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 8. Without finding the inverse of the function, determine the range of the inverse of f(x)=√x-4. (1 point) A. all positive real numbers B. all real numbers less than or equal to 4 C. all real numbers greater than or equal to 4 D. all negative real numbers

C. all real numbers greater than or equal to 4 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 2. Find the real-number root. (1 point) √-1.69 A. 1.3 B. -1.3 C. no real-number root. D. -0.845

C. no real-number root. 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 3. Find the inverse of the function, and then determine whether the inverse is a function. (1 point) y=³√x-5 A. y=x+5; inverse is a function B. y=(x+5)^1/3; inverse is a function C. y=x^3+5; inverse is a function D. y=x^4/3+5; inverse is a function

C. y=x^3+5; inverse is a function 1/1 point

(2.7) Inverse Relations and Functions Practice- Practice (1-10) 7. Let f(x)=10x-10. Find the value of (f×f^-1)(-10). (1 point) A. 0 B. 1 C. 10 D. -10

D. -10 1/1 point

(2.9) Radical Functions and Rational Exponents Practice- Practice (1-10) 5. How can you write the expression with a rationalized denominator? (1 point) 2+√5/2-√5 A. -1 B. 1 C. 9+4√5 D. -9-4√5

D. -9-4√5 1/1 point

(2.4) Rational Exponents Practice- Practice (1-10) 9. Simplify the number. (1 point) (32)^-4/5 A. -2 B. 8 C. 2 4/5 D. 1/16

D. 1/16 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 6. Let g(x)=2x and h(x)=x^2+4. Find the value. (1 point) (h×g)(-5) A. 31 B. 58 C. 77 D. 104

D. 104 1/1 point

(2.5) Solving Square Root and Other Radical Equations Practice- Practice (1-10) 1. Solve. (1 point) 3√x+3=15 A. 4 B. 7 C. 10 D. 16

D. 16 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 3. Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (1 point) (f/g)(x) A. 1/2x+3; domain: all real numbers except x=-3/2 B. 2x+3; domain: all real numbers C. 2x^2+3; domain: all real numbers D. 2x+3; domain: all real numbers except x=1

D. 2x+3; domain: all real numbers except x=1 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 1. Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (1 point) (f-g)(x) A. x^2-4; domain: positive real numbers B. 2x^2-4; domain: all real numbers C. x^2-4; domain: all real numbers D. 2x^2-2; domain: all real numbers

D. 2x^2-2; domain: all real numbers 1/1 point

(2.6) Function Operations Practice- Practice (1-10) 7. Let g(x)=2x and h(x)=x^2+4. Find the value. (1 point) (h×g)(a) A. 4a^2+a B. 2a^3+8 C. 4a^2+8a D. 4a^2+4

D. 4a^2+4 1/1 point

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 13. How can you tell if radicals are like radicals? (2 points)

Like radicals have a similar root (square root, cubed root, and so on.) and a similar articulation under the extreme sign (or numbers whose force is the equivalent). So as to decide whether two radicals resemble, streamline both and afterward check both the root and the articulation under the extreme sign. For me it was OMIT. 2/2 points

End of (2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 14. Is the inverse of a function always a function? Explain. (2 points)

No, the inverse of a function is not always a function cause a function cannot have two different outputs for one or more input. And if the original function has two or more inputs that result in a same output, when you inverse the original function, the outputs of the original are the inputs of the inverse function and the inputs of the original are the outputs of the inverse. That implies that the inverse function would have some inputs related with more than one output, which is the negation of a function. For me it was OMIT. 2/2 points The final score is 18/18 (100%). (That is if you put those answers.)

(2.8) Graphing Radical Functions Quiz Part 2- Quiz (1-5) 3. What is the inverse of the given relation? (2 points) y=3x+12

The answer is on a google doc. Go to https://docs.google.com/document/d/1WC_WKIhK-GeRYmNcW2Y_nnYRnI2NX0v1a_3dbeB2l7I/edit?usp=sharing to get the answer 2/2 points

End of (2.8) Graphing Radical Functions Quiz Part 2- Quiz (1-5) 5. f(x)=3x−7 and g(x)=−2x−6. Find (f∘g)(4). (2 points)

The answer is on a google doc. Go to https://docs.google.com/document/d/1WC_WKIhK-GeRYmNcW2Y_nnYRnI2NX0v1a_3dbeB2l7I/edit?usp=sharing to get the answer 2/2 points The final score is 9/10 (90%). (That is if you put those answers.)

(2.8) Graphing Radical Functions Quiz Part 2- Quiz (1-5) 4. Rewrite 3√27x−81−5 to make it easy to graph using a translation. Describe the graph. (2 points)

The answer is on a google doc. Go to https://docs.google.com/document/d/1WC_WKIhK-GeRYmNcW2Y_nnYRnI2NX0v1a_3dbeB2l7I/edit?usp=sharing to get the answer Partial 1/2 points FEEDBACK: Make sure to use radicals if given radicals, and exponents if given exponents. Also, it would be stretched by a factor of 3

(2.4) Rational Exponents Quiz Part 2- Quiz (1-2) 1. Write (8a^−3)^−2/3 in simplest form. (3 points)

The answer is on a google doc. Go to https://docs.google.com/document/d/1cT98VOPPIx3dbafWp2cZp6r9xxeYzNTBgCnJ8nXVpi4/edit?usp=sharing to get the answer 3/3 points

End of (2.4) Rational Exponents Quiz Part 2- Quiz (1-2) 2. What is the simplest form of the radical expression? (3 points) √2+√5/√2-√5

The answer is on a google doc. Go to https://docs.google.com/document/d/1cT98VOPPIx3dbafWp2cZp6r9xxeYzNTBgCnJ8nXVpi4/edit?usp=sharing to get the answer 3/3 points The final score is 6/6 (100%). (That is if you put those answers.)

(2.8) Graphing Radical Functions Quiz Part 2- Quiz (1-5) 1. What is the solution to the equation? (2 points) √2x+10-6=2

The answer is on a google doc. Go to https://docs.google.com/document/d/1lZX6E_t0m3DzTSdJxmkTky9FrzfTSh1aVUzJgtCX-Ak/edit?usp=sharing to get the answer 2/2 points

(2.8) Graphing Radical Functions Quiz Part 2- Quiz (1-5) 2.Let f(x)=−2x+4 and g(x)=−6x−7. Find f(x)−g(x). (2 points)

The answer is on a google doc. Go to https://docs.google.com/document/d/1lZX6E_t0m3DzTSdJxmkTky9FrzfTSh1aVUzJgtCX-Ak/edit?usp=sharing to get the answer 2/2 points

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 3. Simplify. (2 points) 3^1/2×3^1/2

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 0/2 points FEEDBACK: 1.73*1.73 does not equal 3 How would you simplify a^(1/2) * a^(1/2)? Send by 11:59pm on 2/13

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 1. Multiply and simplify if possible. (2 points) √7x(√x-7√7)

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 2/2 points

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 2. What is the simplest form of the radical expression? (2 points) 3³√2a-6³√2a

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 2/2 points

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 4. Rewrite ^n√x^m using a rational expression. (2 points)

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 2/2 points

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 5. Divide and simplify if possible. (2 points) √250x^16/√2x

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 2/2 points

End of (2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 7. What is the solution of the equation? (2 points) 3^5√(x+2)^3+3=27

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer 4/4 points The final score is 15/18 (83%). (That is if you put those answers.)

(2.10) Radical Functions and Rational Exponents Unit Test Part 2- Test (1-7) 6. What is the solution of the equation? (2 points) √2x+13-5=x

The answer is on a google doc. Go to https://docs.google.com/document/d/1mZXY6guFJUHHEMNeRQaWB1iw72-whb-nVtyYt6W8arw/edit?usp=sharing to get the answer Partial 3/4 points FEEDBACK: Almost! -6 is extraneous

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 11. Describe the relationship of input and output values for composite functions. (2 points)

The composition of the functions f(x) and g(x) is defined as (f∘g)(x)=f(g(x)). (f∘g)(x)=f(g(x))means that the output of the function g(x) is the input of the function f(x). For me it was OMIT. 2/2 points

(2.10) Radical Functions and Rational Exponents Unit Test Part 1- Test (1-14) 12. Explain how you know if a radical expression is in simplest form. (2 points)

You know that the radical is in the simplest expression form if there are not squares or cubed roots in the radical. If there is then it can be simplified more. When the radical can no longer be simplified then it is in the simplest form. For me it was OMIT. 2/2 points