Algebra I Individual Test December 18, 2008

Transcription

1 Algebra I Individual Test December 18, 2008 Directions: No calculators. Answer the questions b bubbling in the best choice on our answer sheet. If no correct answer is given then bubble e) NOTA for "None of the Above". Solve the inequalit. 1) 2 ( + 6) > 1 ( + 6) 1) A) < -6 B) > -6 C) < 6 D) > 6 Factor b grouping. 2) 6a + 1a2b - 4ab2 - b A) (a2-2b)(2a + b) B) (6a2-2b2)(a + b) C) (a2 + 2b2)(2a - b) D) (a2-2b2)(2a + b) 2) Factor as completel as possible. If unfactorable, indicate that the polnomial is prime. ) A) (2 - )2 B) (2 + )(2 - ) C) Prime D) (2 + )2 ) Solve for. 4) = 1-7 4) A) = + 7 B) = + C) = + D) = + 7 1

2 f( + h) - f() Find for the given function. h ) f() = A) h + 8h + 8h2 B) h C) h D) + 8 ) Solve. 6) A rectangular garden is laid out with a total area of square feet. One side of the garden measures + feet. What is the length of the adjacent side? A) 18-2 feet B) 6-1 feet C) 6-2 feet D) feet 6) 7) The area of the interior floor of a storage container with the shape of a rectangular bo measures square feet. The height of the interior wall measures feet. Find the volume of the container. A) ft B) ft C) ft D) ft 7) Simplif. Do not leave negative eponents in our answer. 8) 17r -4(r-1)-4 8(r2) A) 17r 6 8 B) 17r 14 8 C) D) 17 8r6 17 8r14 8) 9) (2ps4)4(s) A) 16p12s19 B) 16p7s48 C) 2p12s19 D) 16p7s11 9) 2

3 Solve the formula for the specified variable. ) A = P(1 + nr) for n ) A) n = A r B) n = A - P Pr C) n = P - A Pr D) n = Pr A - P 11) 1 a + 1 b = 1 c for c 11) A) c = ab(a + b) B) c = a + b C) c = a + b ab D) c = ab a + b Use similar triangles to solve the problem. 12) A flagpole casts a shadow of 28 ft, Nearb, a -ft tree casts a shadow of 8 ft. What is the height of the flag pole? A) 2.9 ft B) ft C) 22.4 ft D) 2240 ft 12) Write an algebraic equation for the problem and solve it. 1) Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels 164 miles in the same time that Carl travels 144 miles. Rob's trip uses more interstate highwas and he can average mph more than Carl. What is Rob's average speed? A) 6 mph B) 44 mph C) 8 mph D) 41 mph 1) 14) The manager of a coffee shop has one tpe of coffee that sells for $ per pound and another tpe that sells for $1 per pound. The manager wishes to mi 40 pounds of the $1 coffee to get a miture that will sell for $1 per pound. How man pounds of the $ coffee should be used? A) pounds B) pounds C) 2 pounds D) 0 pounds 14)

4 Solve the sstem b an method. 1) = = -1 A) = -1, = 1 B) = -1, = -2 C) = -0., = -1.2 D) = -0., = 1 1) 16) = -4 16) - = 4 A) = 2, = - B) no solution C) = -2, = -6 D) = -, = - Solve the problem. 17) A baker can decorate the da's cookie suppl four times as fast as his new assistant. If the decorate all the cookies working together in 16 minutes, how long would it take for each of them to decorate the cookies working individuall? A) baker: 80 minutes assistant: 20 minutes B) baker: 20 minutes assistant: 80 minutes C) baker: 1 4 minutes 17) assistant: 21 minutes D) baker: 80 minutes assistant: 20 minutes 18) A train ticket in a certain cit is $1.0. People who use the train also have the option of purchasing a frequent rider pass for $1.7 each month. With the pass, each ticket costs onl $0.7. Determine the number of times in a month the train must be used so that the total monthl cost without the pass is the same as the total monthl cost with the pass. A) 22 times B) 2 times C) 21 times D) 20 times 19) Julie and Eric row their boat (at a constant speed) 24 miles downstream for 4 hours, helped b the current. Rowing at the same rate, the trip back against the current takes 6 hours. Find the rate of the current. A) 2 mph B) mph C) 0. mph D) 1 mph 18) 19) 4

5 20) In a recent International Gmnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won b each team are three consecutive integers whose sum is 81 and the U.S. won more than China who won more than Romania, how man medals did each team win? A) U.S.: 29 medals; China: 28 medals; Romania: 27 medals B) U.S.: 8 medals; China: 82 medals; Romania: 81 medals C) U.S.: 26 medals; China: 2 medals; Romania: 24 medals D) U.S.: 28 medals; China: 27 medals; Romania: 26 medals 20) Use the five-step strateg for solving word problems to find the number or numbers described in the following eercise. 21) When 40% of a number is added to the number, the result is 22. What is the number? 21) A) 180 B) 140 C) 29 D) 72 Factor. 22) A) (62 + )(2-2) B) (2 + )(22-2) C) (2 - )(22 + 2) D) (2 - )(22 + 1) 22) 2) A) ( + 4)( + 4) B) ( - 4)( - 4) C) (1 + 4)( + 4) D) ) Tell which set or sets each number belongs to: natural, whole, integer, rational, irrational, real. 24) - 12 A) Real, whole B) Real, integer C) Real, irrational D) Real, rational 24) Follow the proper order of operations to evaluate the epression. -4(-6)-()2 2) A) B) 0 C) D) )

6 Solve the compound inequalit ) < 4 or A) < 9 9 B) 1 C) < D) < or 9 26) Graph the region described b the inequalit. 27) ) A)

7 B) C) D) Remove grouping smbols and simplif. 28) [6 + (-6-1)] - [ (- - (-9-4)) - ] A) B) C) 11 - D) ) 7

8 Find the equation of a line passing through the pair of points. Write the equation in the slope-intercept form 29) (0, 0) and (9, ) A) = 1 29) B) = C) = D) = 1 Find the equation of the line satisfing the conditions given. Epress the answer in standard form. 0) Through (9, -), perpendicular to -8-9 = -99 A) = -99 B) = - C) = - D) = 8 0) 8

9 Answer Ke Testname: ALGEBRA I 1) B 2) D ) C 4) C ) B 6) C 7) C 8) C 9) A ) B 11) D 12) B 1) D 14) B 1) B 16) C 17) B 18) C 19) D 20) D 21) A 22) B 2) A 24) C 2) B 26) B 27) B 28) C 29) A 0) C 9