MATH 830/GRACEY EXAM 4 PRACTICE/CH. 5. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 MATH 30/GRACEY EXAM PRACTICE/CH. 5 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the epression with positive eponents onl. Then simplif, if possible. ) -3 - A) 3 B) 3 C)3 D) 3 ) ) ) A) B) C) 6 7 D) 7 6 3) A) B) - C) 0 9 D) 9 0 3) ) - A) B) 6 C)6 D) -6 ) 5) --3 5) A) - B) C) - D) 6 Solve. 6) Approimatel 03 emploees of a certain compan average $30,000 each ear in salar. What is the total amount earned b all the emploees of this compan per ear? Write our answer in scientific notation. A) $. 09 B) $. 0 C)$ 0 D) $ 09 6) 7) A particle is observed moving at meters per second. Find the distance the particle would travel in seconds. A) meters B) meters C) meters D) meters 7)

2 ) The bar graph shows the median annual income for residents of a selected region of the United States, b level of education. The given polnomial models describe the median annual income for men, M, and for women, W, who have completed ears of education. ) M = ,0 + 7,566 W = ,763 Find a mathematical model for M - W and use it to calculate the difference in the median annual income between men and women with 0 ears of education. Does the model underestimate or overestimate the actual difference? A) $97; underestimates B) $6,33; overestimates C) $9653; overestimates D) $63; underestimates 9) An object that is verticall projected into the air has its height, in feet, above the ground given b s = -6t + v0t + s0, where s is the height, in feet, v0 is the initial velocit of the object, in feet per second, t is the time the object is in motion, in seconds, and s0 is the height, in feet, from which the object is projected. A ball is thrown straight up from a rooftop at an initial velocit of feet per second from a height of 00 feet. The ball misses the rooftop on its wa down and eventuall strikes the ground below. How high above the ground will the ball be seconds after being thrown? A) ft B) 36 ft C)0 ft D) 33 ft 9)

3 0) The square garden in the figure measures ards on each side. The garden is to be epanded so that one side (the top of the figure) is increased b 5 ards and the adjacent side (the right side of the figure) is increased b 3 ards. Write a polnomial in descending powers of that epresses the area of the larger garden. Then use the polnomial to determine the area of the larger garden if the original garden measures ards on a side. 5 ards 0) 3 ards A) + ; 7 square ards B) + + 5; 3 square ards C) + ; 3 square ards D) + + 5; 7 square ards ) A census was taken to determine the median annual income for residents of a selected region of the United States, b level of education. The given polnomial models describe the median annual income for men, M, and for women, W, who have completed ears of education. Shown in a rectangular coordinate sstem are the graphs of the polnomial models. Identif the median annual income for a woman with 0 ears of education as a point on the appropriate graph. ) M = ,06 W = ,76 Income, b Level of Education 00 Income (thousands of dollars) Men Women Years of School Completed A) (0,,6) B) (0, 9,6) C)(0, 5,3) D) (0,,0) Simplif the epression using the quotients-to-powers rule. a 3 ) 5 ) A) a 5 B) a 3 5 C) a 3 5 D) a 5 3

4 3) p 3v s 3 3) A) p 6v5 s5 B) p 9v6 s6 C) p 9v6 s6 D) p 9v6 s5 ) 33 3 ) A) 6 5 B) C) D) 7 9 Find the product. 5) 6( - 7) A) - 3 B) 3-3 C) - D) ) 6) 5ab(ab - 9b3) A) 0ab - 5ab7 B) 0ab - 5b C)0ab - 9b3 D) 0ab - 5b7 6) 7) (5)(9) A) B) 5 C) 53 D) 3 ) (a + b)(a - b) 9) ( + 7) A) a - b B) a + ab - b C)a - ab - b D) a - b A) + 7 B) + 7 C) + 7 D) 7) ) 9) 0) ( - + )() A) B) C) D) ) (9-0)(5 - + ) A) B) C) D) ) ) ) A) B) C) D) ) 3) ( + 9)( - ) A) B) C) D) )

5 ) ( + + )( + + ) A) B) C) D) ) 5) -5(7 + 3) A) B) -65 C) D) ) 6) -36( ) A) + + B) C) - 36 D) ) 7) ( - )( - + ) A) B) C) D) ) (3-3)( - 0) A) B) C) D) ) ) 9) (-75)(-03) A) B) 709 C) 7003 D) ) Perform the indicated computations. Write the answer in scientific notation. 30) ( 0) - A) 0-3 B) 0- C).5 03 D) ) 3) A) 0- B) 0- C) 0-7 D) 0-7 3) 3) ( 05)(3 0-) A). 0- B). 0-0 C)0 0-3 D) 0-33) ( 0-) A) B) C) D) ) 33) Simplif the eponential epression. 3) (-6) -3 A) 3-7 B) C) D) ) 35) -5 3 A) B) C) D) 35) 5

6 36) (3) 3 () - A) 65 B) 9 5 C) 7 5 D) 6 36) 37) 5p -5 9p3 37) A) 5 9p5 B) 5p 5 9 C) 5p 9 D) 5 9p 3) ( ) 3 5 3) A) B) 3 C) 7 D) 3 39) ) A) B) C) D) Use the FOIL method to find the product. Epress the product in descending powers of the variable. 0) ( + 6)(6-0) A) B) C) D) ) ) (-5-7)(- - ) A) B) C) D) ) ( + )( + 0) A) B) C) D) ) ) Write the number in scientific notation. 3) ) 5) ) A) B) C) D) A). 0 B). 0 C). 0-3 D). 03 A) B) C) D) A).5 0 B) C).5 0- D) ) ) 5) 6) 6

7 Use snthetic division to divide. 7) A) B) C) D) ) ) ( ) ( + ) A) B) ) C) D) ) ( - ) ( - ) A) + B) + C) + D) + 9) 50) ( - ) ( + ) A) - B) - C) - D) + 50) Multipl b using the rule for the square of a binomial. 5) ) A) B) C) D) ) (- 3) A) B) + 9 C) D) ) ( - ) A) - + B) 6 + C) + D) ) 53) 5) ( + ) A) + + B) + + C) + D) + 55) (3 + 5) A) B) C) D) ) 55) 56) ) A) B) C)9-9 D)

8 Simplif the epression using the power rule. 57) (55) 3 5) (5) 7 A) 55 B) 55 C)55 D) 5 A) B) 35 C) 75 D) ) 5) Simplif the epression using the products-to-powers rule. 59) (-) 3 A) - B) -6 C) -67 D) 6 59) 60) ()5 A) 3 B) 05 C) 0 D) 35 60) Divide as indicated. 6) A) C) B) D) ) 6) ( ) ( + 0) A) + 5 B) + 5 C) + 5 D) + 5 6) 63) p + 3p - p + 7 A) p - B) p p + 7 C)p p + 7 D) p p ) 6) ( ) (5 + ) A) B) + + C) D) ) 65) ( - 36) ( - 6) A) - 6 B) + 36 C) + 6 D) ) 66) ) A) - 5 B) + 6 C)3-5 D) + 6

9 67) ) A) B) C)9 + D) ) 9r 3-76r - 39r - 5 r - 9 A) 9r - 5r - 6 B) 9r + 5r + 6 C)r + 6r + 5 D) 9r + 5r + 6 r - 9 6) Identif the polnomial as a monomial, binomial, or trinomial. Give the degree of the polnomial. 69) A) Trinomial, degree 6 B) Trinomial, degree 5 C) Binomial, degree 5 D) Trinomial, degree 70) - A) Monomial, degree B) Monomial, degree - C) Monomial, degree 0 D) Binomial, degree 0 69) 70) 7) A) Binomial, degree 0 B) Monomial, degree C) Binomial, degree D) Monomial, degree 7) 7) A) Binomial, degree 0 B) Binomial, degree C) Binomial, degree 7 D) Monomial, degree -6 7) Multipl the monomials. 73) (59)() A) -07 B) -07 C) 07 D) 07 73) 7) ) A) - 0 B) 0 C) - 0 D) 0 75) ) A) 9 B) - 9 C) - 0 D) 0 76) (9)(-95) A) -5 B) C) 5 D) - 76) Subtract the polnomials. 77) (-7 - ) - (-9 + 7) A) -7 B) C) - 9 D) ) 9

10 7) (6 - ) - ( - ) A) B) C) D) ) 79) ( ) - ( ) A) B) C) D) ) Evaluate the polnomial for the given values of and. 0) ; = -5 and = -3 A) -36 B) -7 C) -3 D) -35 0) Perform the indicated operations. ) [(6 + 3) - ( )]- [( ) + ( )] A) B) C) D) ) Add the polnomials. ) ( ) + ( ) A) B) C) D) ) ( + ) + (6-5) A) B) C)7-7 D) ) 3) ) (35-3) + (95 + 9) A) 9 B) C)0 + 6 D) ) 5) ) A) C) B) D) Divide using the quotient rule. 6) ) A) 69 B) 69 C)63 D) 67 7) 3 93 A) 3 B) 5 C) 35 D) 5 7) 0

11 Use a vertical format to subtract the polnomials. ) ( ) A) B) C) D) ) 9) ( ) A) B) C) D) ) 90) ( ) A) B) C) D) ) Solve the problem. 9) Find the area of a triangle with a base of inches and a height of (7 + ) inches. A) (5 + 0) sq. in. B) ( + ) sq. in. C)( + ) sq. in. D) (56 + 6) sq. in. 9) 9) The area of the rectangle below is (z + 7)(3z + 6). Find another epression for this area b finding the sum of the areas of the smaller rectangles. 9) 3z 6 z 7 A) 3z + 6z + B) 3z + z + C)3z +7z D) 3z + 7z + 93) Write an epression for the area of the larger rectangle below in two different was. 93) 6 A) ( + ); + B) ( + 6); + 6 C)6( + ); D) ( + 6); +

12 Divide the polnomial b the monomial. 9) A) -66 B) + 30 C) D) - 0 9) 95) ) A) B) C) D) ) 6r 6-0r A) 3r7-5r5 B) 3r5-5r3 C)3r6-5r D) 6r5-0r3 96) 97) ) A) B) C) D) Rewrite the number in the statement in scientific notation. 9) A mountain's peak is 0,00 feet above sea level. A).0 06 B).0 05 C).0 0 D) ) Use a vertical format to add the polnomials. 99) ) A) -9 B) 65-5 C) -97 D) ) ) A) B) C) D) ) ) A) B) 9-7 C) D)

13 Multipl the epression using the product rule. 0) 6 A) 0 B) 6 C) D) 0) 03) 5 A) 9 B) 0 C)9 D) 0 03) 0) A) 53 B) 5 C) 5 D) 53 0) Use the zero-eponent rule to simplif the epression. 05) 0 A) B) - C)0 D) 05) 06) (-9)0 A) 0 B) C)9 D) - 06) 07) 0 A) B) 0 C) D) 07) Multipl using the rule for finding the product of the sum and difference of two terms. 0) (5 + 3)(5-3) A) B) 5-9 C) D) - 9 0) 09) ( + 5)( - 5) A) B) - 0 C) D) - 5 0) ( + 9)( - 9) A) - B) - C) + - D) ) 0) Add or subtract as indicated. ) Subtract: ( ) - ( ) A) B) C)03 D) ) ) (3 - - ) + ( ) A) + + B) C) D) ) 3) (6 + 5) - ( ) A) B) C) D) 6 3) 3

14 Graph the equation. Find seven solutions in our table of values for the equation b using integers for, starting with -3 and ending with 3. ) = - ) A) B) C) D)

15 5) = - 5) A) B) C) D) Use a vertical format to find the product. 6) A) B) C) D) ) 5

16 7) z + 5z - z - z - 3 A) -3z - 5z3 + z B) -3z - 3z3-6z - 7z - C)z + z3-6z - 7z + D) z + z3 - z - 3z - 7) Write the number in decimal notation without the use of eponents. ) A) 33,000 B) 33,00 C) 3,30,000 D) 67 ) 9) A) -57,000 B) C) D) ) 0) A) B) 6.3 C)0 D) 6.3 0) Write a polnomial in two variables that describes the total area of the shaded region. Epress the polnomial as the sum or difference of terms. ) 6 ) - 6 A) - 36 B) C) + 36 D) Divide the monomials. 63 ) 63 ) A) B) C) D) 0 3) A) B) -37 C) -3 D) -3 3) ) - 0z3 55z ) A) -65 B) -5z C) 65z D) -65z 6

17 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine the coefficient of each term, the degree of each term, and the degree of the polnomial. 5) ) 5 7

18 Answer Ke Testname: M30EPRAC_SCRAMBLED ) B ) C 3) D ) B 5) A 6) B 7) D ) D 9) C 0) B ) A ) C 3) C ) B 5) B 6) A 7) C ) A 9) B 0) A ) A ) B 3) D ) A 5) A 6) B 7) A ) D 9) B 30) D 3) B 3) A 33) B 3) C 35) B 36) C 37) D 3) D 39) B 0) A ) C ) D 3) A ) D 5) A 6) C 7) D ) B 9) A 50) A

19 Answer Ke Testname: M30EPRAC_SCRAMBLED 5) A 5) A 53) D 5) B 55) C 56) B 57) A 5) B 59) B 60) D 6) C 6) A 63) B 6) D 65) C 66) D 67) B 6) B 69) D 70) C 7) D 7) C 73) C 7) A 75) A 76) D 77) C 7) D 79) A 0) C ) A ) D 3) D ) B 5) A 6) B 7) D ) B 9) C 90) D 9) C 9) D 93) B 9) D 95) C 96) C 97) B 9) C 99) B 00) B 9

20 Answer Ke Testname: M30EPRAC_SCRAMBLED 0) D 0) C 03) C 0) D 05) A 06) A 07) A 0) B 09) D 0) B ) A ) A 3) A ) C 5) C 6) D 7) C ) A 9) B 0) B ) A ) B 3) C ) D 5) Polnomial degree: 9 Term Coefficient Degree