Unit 7 Evaluation. Multiple-Choice. Evaluation 07 Second Year Algebra 1 (MTHH ) Name I.D. Number

Transcription

1 Name I.D. Number Unit 7 Evaluation Evaluation 07 Second Year Algebra (MTHH 09 09) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your tetbook, syllabus, and other course materials. You will need to understand, analyze, and apply the information you have learned in order to answer the questions correctly. To submit the evaluation by mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online, access the online version of your course; use the navigation panel to access the prep page for this evaluation and follow the directions provide Note: A graphing calculator may be used on unit evaluations. You may also use scratch paper to work out the solutions. Multiple-Choice Select the response that best completes the statement or answers the question.. Which equation has more than one real-number solution? = 0 = = =. Which number is greatest? Which statement is not true? = 9 = 9 = 7 = 8

2 . Absolute value symbols are needed when you simplify some of these epressions. Which ones are they? I. 6 y II. II and III only II and IV only II, III, and IV only I, II, III, and IV y III. 8 y IV. 6 y. Which epression does not simplify to 0? How can you write y with a rationalized denominator? y 0 y 0 y y y y 7. What is the simplified form of? 6

3 8. To rationalized the denominator of, by what number would you multiply the 9 numerator and denominator of the fraction? Which of the following epressions is in simplest form? Which epression does not simplify to one term? What is an epression for ? 6. Which epression is not equal to? ( + )( ) ( )( + ) (6 + )(6 ) (7 6 )(7 + 6 )

4 . How can you write with a rationalized denominator? +. Which of the following is equivalent to ( )( + )?. The epression 0.06 m value of the epression for m = 6 0? ,600 is used in the study of fluids. Which best represents the 6. Which epression is not equivalent to n? ( n ) n ( ) n n 7. Which epression is not equivalent to y? ( y ) ( ) y ( y ) 9 y

5 8. Which equation represents a property of eponents? (a m ) n = a m + n a b m a m = = m a m a b a m a n = a mn 9. Which epression is equivalent to Which epression is equivalent to n 7 n 7 n n 6 6? 6 ( n n )?. Which number is closest to (8n ) 0.7 for n =? Solve =. 0. Solve ( ) =

6 . Let f() = + and g() = 6. Find (g f)() If f() = and g() =, what is (g f)()? Let f() = and g() =. Find (g f)() If (f g)() = and g() =, which epression could represent f()? Let g() = and h() = + 6. Find (h g)() If f() = and g() =, which epression has the greatest value? (f g)( ) (f g)( ) (g f)( ) (g f)( ) 0. If f() = and g() =, which statement is true? (f g)() (g f)() for all values of. (f g)() = (g f)() only for =. (f g)() (g f)() for all values of. (f g)() (g f)() for any value of.

7 . What is the inverse of y =? y = + y = y = y = +. If f() =, what is (f f)(0)? What is the inverse of y =? y = + y = y = y =. How is the graph of y = 7 translated from the graph of y =? It is shifted 7 units left. It is shifted 7 units right. It is shifted 7 units up. It is shifted 7 units down.. How is the graph of y = translated from the graph of y =? It is shifted units left. It is shifted units right. It is shifted units up. It is shifted units down 6. The graph of y = is shifted units up and units left. Which equation represents the new graph? y = + y = + y = + y = +

8 7. Which equation shows y + = 6 rewritten in the form y = a h + k? y = ( ) y = ( ) + ( ) y = ( ) + ( ) y = 8 + ( ) 8. What do you call an equation that has a variable in a radicand (or a variable with a fractional eponent)? radical function square root function combined function function operation 9. Which of the following can be written in the form f() = a n h + k, where a 0? function operation square root function combined function radical function 0. Which of the following can be written in the form f() = a h + k? function operation square root function combined function radical function. The formula for the volume of a sphere is V = hundredth, of a sphere with a volume of 8 in..6 in..76 in..07 in..97 in. r. Find the radius, to the nearest

9 . Find all the real fourth roots of ,, 7 7 7, 6 9, 6 9, 6 9. Multiply Simplify if possible Simplify Simplify Solve = 8 no real solution. Check for etraneous solutions.

10 7. Let f() = + and g() =. Find f() g() For f() =, what is (f f )()? Which function represents the graph? y = y = y = + y = + 0. Divide. Simplify if possible. Carefully check your answers on this evaluation and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to an answer sheet. Please refer to the information sheet that came with your course materials.