radical expressions, Unit 7 Evaluation Advanced Algebra 1 (MTHH 039 058)

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Name _______________________________________________ ID Number _______________________ Unit 7 Evaluation Advanced Algebra 1 (MTHH 039 058) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus, and other course materials. To submit the evaluation, follow the directions provided. Your graphing calculator may be used on this evaluation. You may also use scratch paper to work out the solutions. Select the response that best completes the statement or answers the question. ____1. Which equation has more than one real-number solution? a. x2 = 0 b. x2 = 1 c. x2 = –1 d. x3 = –1 ____2. Which number is greatest? 0.5 a. b. 3 0.5 c. 4 0.5 d. 5 0.5 ____3. Which statement is not true? a. 3   9 b. 3   9 c. 3  3 27 d. 3  4 81 ____4. Absolute value symbols are needed when you simplify some of these expressions. Which ones are they? I. 3 x3y 6 II. x2y 4 III. 4 x 8 y 12 IV. x4y 6 a. II and III only b. II and IV only c. II, III, and IV only d. I, II, III, and IV Unit 7 Evaluation MTHH 039 ____5. Which expression does not simplify to –10? a. 3 1000 25 b. 3 c.  25 d. 3 8 5 125 32 4 16 ____6. How can you write 3 5 with a rationalized denominator? 2xy 3 a. 5 2xy 3 b. 20 2xy 3 20 x 2 y 2 2 xy 3 4x2y 2 2 xy c. d. ____7. What is the simplified form of a. 3 5 5 5 b. 3 5 5 5 3 5 5 ____8. To rationalize the denominator of ? c. 3 3 3  15 5 d. 14  6 5 5 2 , by what number would you multiply the numerator 9 and denominator of the fraction? a. 2 b. 3 c. 6 d. 9 ____9. Which of the following expressions is in simplest form? 20x 3 a. b. 3 81x 6 2 2 d. 5 c. Unit 7 Evaluation MTHH 039 ____10. Which expression does not simplify to one term? a. 4 8  18 b. 27  8 c. 32  3 8 d. 12  75 ____11. What is an expression for 20  80  125 ? a. 65 b. 13 5 c. 11 5 d. 3 5 ____12. Which expression is not equal to 13? a. (4  3)(4  3) b. (5  2 3)(5  2 3) c. (6  23)(6  23) d. (7  6)(7  6) ____13. How can you write 1 3 5 3 with a rationalized denominator? a. –1 b. 2  3 3 c. 4  3 3 d. 43 3 11 ____14. Which of the following is equivalent to (2  3 5)(3  3 5) ? a. 51 b. 6  9 5 c. 6  24 5 d. 51  15 5 Unit 7 Evaluation MTHH 039 3 ____15. The expression 0.036m 4 is used in the study of fluids. Which best represents the value of the expression for m  46  104 ? a. 636 b. 1460 c. 1660 d. 16,600 ____16. Which expression is not equivalent to a. 1 2 4 (4n ) b. 1 2 2n c. 1 2 (2n ) d. 2n ____17. Which expression is not equivalent to 4 4n 2 ? 6 81x 4 y 8 ? 2 a. (3 xy 2 ) 3 2 4 b. (3 x ) 3 y 3 1 c. (3 x 2 y 4 ) 3 d. 3 9x 2 y 4 ____18. Which equation represents a property of exponents? a. (a m )n  a m  n a b.   b m c. a  m  am b 1  am d. am  an  amn Unit 7 Evaluation MTHH 039  1  ____19. Which expression is equivalent to    64   1 a.   2  1 6 ? 6 b. 43 c. 2 d. 646 3 1  3   6 2  ____20. Which expression is equivalent to n  n  ?     a. n27 b. n–27 c. n–4 d. n–5 ____21. Which number is closest to (81n 2 )0.75 for n = 2? a. 45.4 b. 76.4 c. 243.0 d. 2061.9 ____22. Solve 4x  23  3  2 . a. 10 b. 11 c. 12 d. 13 3 ____23. Solve ( x  2) 4  27 . a. 79 b. 81 c. 10 d. 29 ____24. Let f(x) = –4x + 1 and g(x) = 2x – 6. Find (g – f)(x). a. 6x – 5 b. 6x – 7 c. –6x + 5 d. –6x + 7 Unit 7 Evaluation MTHH 039 ____25. If f(x) = 2x2 and g(x) = 3x, what is ( g f )( x )? a. 6x2 b. 9x2 c. 18x2 d. 8x4 ____26. Let f(x) = 2x – 3 and g(x) = –x2 – 1. Find (g f )( x ) . a. –2x3 + 3x2 –2x + 3 b. –4x2 +12x – 10 c. –x2 + 2x – 4 d. –x2 – 2x + 2 ____27. If (f g )( x )  x 2  6 x  8 and g ( x )  x  3 , which expression could represent f(x)? a. x – 4 b. x – 1 c. x 2  1 d. x 2  6x  5 ____28. Let g(x) = x – 3 and h(x) = x2 + 6. Find (h g )(1) . a. –14 b. 4 c. 5 d. 10 ____29. If f ( x )  3  x and g ( x )  x 2  3 , which expression has the greatest value? a. b. c. d. ( g f )( 3) (f g )( 3) (f  g )( 3) ( g  f )( 3) ____30. If f ( x )  x 2 and g ( x )  x  1 , which statement is true? a. b. c. d. (f (f (f (f Unit 7 Evaluation g )( x )  (g g )( x )  (g g )( x )  (g g )( x )  (g f )( x ) for all values of x. f )( x ) for all values of x. f )( x ) only for x = 1. f )( x ) for any value of x. MTHH 039 ____31. What is the inverse of y = 5x – 1? a. y = 5x + 1 x 1 5 x c. y   1 5 x d. y   1 5 b. y  ____32. If f ( x )  4 x  3, what is (f 1 f )(10)? a. 13 4 b. 10 c. 37 d. 481 4 ____33. What is the inverse of y  x 2  3 ? a. y   x  3 b. y   x  3 c. y   x  3 d. y   x  3 ____34. How is the graph of y  x  7 translated from the graph of y  x ? a. It is shifted 7 units left. b. It is shifted 7 units right. c. It is shifted 7 units up. d. It is shifted 7 units down. ____35. How is the graph of y  x  5 translated from the graph of y  x ? a. It is shifted 5 units left. b. It is shifted 5 units right. c. It is shifted 5 units up. d. It is shifted 5 units down. Unit 7 Evaluation MTHH 039 ____36. The graph of y   x is shifted 4 units up and 3 units right. Which equation represents the new graph? a. y   x  4  3 b. y   x  3  4 c. y   x  3  4 d. y   x  4  3 ____37. Which equation shows y  3  3 4 1 b. y  4 1 c. y  4 1 d. y  8 a. y  x  2 rewritten in the form y  a x  h  k ? 16 x  ( 2) x  (2)  ( 3) x  ( 32)  ( 3) x  32  ( 3) ____38. What do you call an equation that has a variable in a radicand (or a variable with a fractional exponent)? a. radical equation b. square root equation c. combined function d. function operation ____39. Which of the following can be written in the form f ( x )  an x  h  k, where a  0 ? a. function operation b. square root function c. combined function d. radical function ____40. Which of the following can be written in the form f ( x )  a x  h  k ? a. function operation b. square root function c. combined function d. radical function 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. Unit 7 Evaluation MTHH 039
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Name _______________________________________________ ID Number _______________________

Unit 7 Evaluation
Advanced Algebra 1 (MTHH 039 058)
This evaluation will cover the lessons in this unit. It is open book, meaning you can use your
textbook, syllabus, and other course materials. To submit the evaluation, follow the directions
provided.
Your graphing calculator may be used on this evaluation. You may also use scratch paper to
work out the solutions. Select the response that best completes the statement or answers the
question.
____1. Which equation has more than one real-number solution?
a. x2 = 0
b. x2 = 1
c. x2 = –1
d. x3 = –1
____2. Which number is greatest?

0.5

a.
b.

3

0.5

c.

4

0.5

d.

5

0.5

____3. Which statement is not true?
a. 3   9
b. 3   9
c. 3  3 27
d. 3  4 81
____4. Absolute value symbols are needed when you simplify some of these expressions. Which
ones are they?
I.

3

x3y 6

II.

x2y 4

III.

4

x 8 y 12

IV.

x4y 6

a. II and III only
b. II and IV only
c. II, III, and IV only
d. I, II, III, and IV

Unit 7 Evaluation

MTHH 039

____5. Which expression does not simplify to –10?
a. 3 1000

25

b.

3

c.  25
d.

3

8
5

125

32
4

16

____6. How can you write

3

5
with a rationalized denominator?
2xy

3

a.

5
2xy
3

b.

20
2xy

3

20 x 2 ...


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