Add or subtract. Write the answer in lowest terms. 1) 15 13x 6. 13x A) 9 13x. 9 26x D) 9. B) 13x 9. 2) 2 r + 5 r 9 A) 18r 7 r(9 r) 7r 18 r(9 r)

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Abel Murphy
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1 Fall 2018 Preview Eam 4 Math 1 TTh This is intended onl as a resource to assist in our studing. This preview does not constitute acontract of inclusion and eclusion. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the Add or subtract. Write the answer in lowest terms. 1) D) 9 2) 2 r + r 9 18r 7 r(9 r) 7r 18 r(r 9) 18r 7 r(r 9) D) 7r 18 r(9 r) 3) D) 1 7 4) b b2 2 + b + 6 b 6b 2 2b + b(b + )(b ) 2(b + 6) b(b + )(b ) D) 2(b 6) (b + )(b ) 2(b 6) b(b + )(b ) Simplif the comple fraction. ) D) "... the great enem of the truth is ver often not the lie deliberate, contrived, and dishonest but the mth persistent, persuasive, and unrealistic.... We enjo the comfort of opinion without the discomfort of thought." ~~ John F. Kenned,1962 1

2 6) D) 12 7) 3r 1 3r r r 2 + 3r 3r 3r 2 3r D) 2 3r 3r Provide an appropriate response. 8) Which of the following comple fractions is equivalent to ? D) Solve the equation. 9) = D) 7 ) = 2 36 { 1, 0} { 1, 0} { 8, 0} D) { 8, 0} Solve the formula for the specified variable. 11) I = E R + r for r r = E I IR r = E IR I r = E R I D) r = IR E Would the child that ou were be proud of the adult ou have come to be? 2

3 12) z = 3 for z z = z = z = D) z = Solve the problem. 13) In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator, the resulting fraction is equal to 8. What was the 12 original fraction (not necessaril written in lowest terms)? D) ) A plane flies 00 mi with the wind and 300 mi against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plane in still air? 82 mph 97 mph 117 mph D) 92 mph 1) A jet plane traveling at a constant speed goes 1200 mi with the wind, then turns around and travels for 00 mi against the wind. If the speed of the wind is 0 mph and the total flight took 4 hr, find the speed of the plane. 2 mph 0 mph 43 mph D) 60 mph 16) A man rode a biccle for 12 mi and then hiked an additional 8 mi. The total time for the trip was hr. If his biking rate was mph faster than his hiking rate, what was each rate? Biking: 14. mph; hiking: 4. mph Biking: 12 mph; hiking: 2 mph Biking: 13 mph; hiking: 3 mph D) Biking: 11. mph; hiking: 1. mph Find the length of the unknown side of a right triangle with legs a and b and hpotenuse c. Round to the nearest thousandth, if necessar. 17) a =, b = 24 c = 26 c = 22 c = 2 D) c = 18 Solve the problem. Give the answer to the nearest thousandth if necessar. 18) A painter leans a ladder against one wall of a house (as shown below). The ladder is 26 ft long. The base of the ladder is 20 ft from the house. How high is the wall?? 26 ft 20 ft 23 ft ft 138 ft D) ft Would the child that ou were be proud of the adult ou have come to be? 3

4 Find the distance between the pair of points. 19) 1 2, 17 9 and 2, D) 13 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the Provide the proper response. 20) Can a represent a negative real number? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the Find the product and simplif, if possible. 21) D) 6 2 Simplif the radical. Assume that all variables represent nonnegative real numbers. m 22) n18, n 0 m n 9 m n 9 m n 9 D) m n 18 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the Provide the proper response. 23) If p is a prime number, is p in simplified form? Eplain. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the 24) Is 11 simplified? Yes No Perform the indicated operations. Assume that all variables represent nonnegative real numbers. 2) D) Would the child that ou were be proud of the adult ou have come to be? 4

5 Find the perimeter of the figure. 26) D) ) Find the perimeter of a triangle with sides measuring 4 80, 2 80, and 4 8 meters m m 32 m D) m Perform the indicated operations and epress the result in simplest form. 28) ( 6) 2 4 (1)( 4) D) 2 17 Rationalize the denominator and simplif. 29) D) 7 30) D) 8 Rationalize the denominator. Assume that all variables represent positive real numbers. 31) Rationalize the denominator. 32) D) D) Simplif the epression. 33) ( + )( ) D) Would the child that ou were be proud of the adult ou have come to be?

6 34) (3 + ) D) Rationalize the denominator. Write the quotient in lowest terms ) D) Perform the indicated operation and epress the answer in simplest form. 36) 3 ( ) D) 7 3 Solve the equation. 37) = 8 { 64} {16} D) {64} 38) + 3 = 3 {1, 13} {6, 13} {1, 6} D) {6} Solve the problem. 39) Suppose that there is no straight path for driving between towns A and B. To drive from Town A to Town B, it is necessar to travel due east for 21 miles, then due north for 18 miles. How far apart, to the nearest tenth of a mile, are the towns? 49.0 mi 27.7 mi 34.0 mi D) 6.2 mi 40) A car dealer advertised a big sale b stretching a string of banners from the top of the building to the edge of the drivewa. If the building is 16 m high and the drivewa is 48 m from the building, how long is the string of banners? 4.3 m 8.0 m 22.6 m D) 0.6 m Solve the equation b using the square root propert. Simplif all radicals. 41) r 2 2 = 0 {±1} { 2} {± 2} D) {4} Use a calculator to solve the equation. Round to the nearest hundredth, if necessar. 42) (3.13m 6.30)2 = 6.20 {2.83, 0.01} { 1.22, 2.81} {2.81, 2.81} D) {2.81, 1.22} Would the child that ou were be proud of the adult ou have come to be? 6

7 Decide whether the statement is true or false. If it is false, tell wh. 43) If k is a perfect square, then 2 = k will have two integer solutions. False; the equation will have two rational solutions that are not integers. True False; the equation will have one integer solution 44) If k is a negative integer, then 2 = k will have two irrational solutions. False; the equation will have two rational solutions. True False; the equation will have no real number solutions. Complete the trinomial so that it is a perfect square. 4) D) 4 46) z z D) Solve the equation b completing the square. 47) ( + 4)( 1) = 6 {2 ± 3} { ± 3} {, 2} D) { 2, } SHORT ANSWER. Write the word or phrase that best completes each statement or answers the Answer the 48) To complete the square of = 8, is it ever a good idea to divide b the coefficient of 2? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the If necessar, write the equation in the standard form a 2 + b + c = 0. Then identif the values of a, b, and c. Do not actuall solve the equation. 49) = 0 a = 8, b = 11, c = 19 a = 19, b = 11, c = 8 a = 8, b = 11, c = 19 D) a = 8, b = 11, c = 19 Use a calculator to find an approimate solution to the equation. Round our answer to the nearest thousandth. 0) = 4 {6.372, 0.628} {0.31, 7.31} { 4.128, 4.128} D) { 0.628, 6.372} Would the child that ou were be proud of the adult ou have come to be? 7

8 Solve the equation. Epress radicals in simplest form. 1) 3 4 s s = 0 6 ± D) 1 3 Answer the 2) If we appl the quadratic formula and find that the value of b2 4ac is positive, what can we conclude about the solutions? The equation has eactl one rational solution. The equation has two real number solutions. The equation has no real number solutions. D) The equation has two irrational solutions. Would the child that ou were be proud of the adult ou have come to be? 8

9 Give the coordinates of the verte and sketch the graph of the equation. 3) = (0, ) (, 0) (0, ) D) (, 0) Would the child that ou were be proud of the adult ou have come to be? 9

10 4) = ( 4, 0) (4, 0) (0, 4) D) (0, 4) Would the child that ou were be proud of the adult ou have come to be?

11 ) = (0, 7) ( 7, 0) (7, 0) D) (0, 7) Solve the problem. 6) Find two numbers whose sum is 90 and whose product is a maimum. 44 and and 0 4 and 4 D) 3 and Would the child that ou were be proud of the adult ou have come to be? 11

12 Answer Ke Testname: 1PREVIEWCH678A 1) A 2) B 3) C 4) D ) D 6) B 7) D 8) C 9) B ) B 11) B 12) C 13) C 14) D 1) B 16) B 17) A 18) B 19) D 20) No 21) B 22) A 23) Yes. Eplanations will var. 24) A 2) A 26) D 27) A 28) B 29) D 30) C 31) C 32) A 33) D 34) A 3) D 36) A 37) C 38) D 39) B 40) D 41) C 42) D 43) B 44) C 4) C 46) A 47) C 48) Yes. In order to complete the square, the coefficient of the second degree term must be 1. 49) C 0) D 1) D 2) B 3) A 4) B ) B 6) C Would the child that ou were be proud of the adult ou have come to be? 12

B) 75k k D) 75k k C) 3 5

B) 75k k D) 75k k C) 3 5 Fall 018 Preview Exam Math 110 This is only provided to you are a resource to help you practice and prepare for an upcoming exam. It is not a contract of inclusion and/or exclusion. You are still responsible