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# Review Sheet for MATH 1300 at UH

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COURSE
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TYPE
Class Notes
PAGES
6
WORDS
KARMA
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This 6 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 15 views.

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Date Created: 02/06/15
Solve each equation 1x24 2c 23x2 11x0 2 4 35 4x2 360 5 135x 1 6 2x2 32x 15 8 4 ac8 7 x3c 2ac2a 6 8E50 9 3x2x 10 39 10 Vm12zx 3 x x1 10 11urc3 2w3 12 x 13 3132 5x 2 132 6 53 What is the value of ac 10 1 14 Solve the equation for x 5 Express each phrase as a ratio in lowest terms with units of measure canceled 1 4 inches to 3 feet 2 1 pound to 8 ounces 3 3 quarters to 3 dollars 4 3 days to 2 weeks Perform the indicated operations and simplify Assume all variables represent positive numbers In problems 6 and 13 you must rationalize the denominator 1 2 fol O 3 W 4 25x4y2 5 2x xE2a xB 6 7 V9 16 8 win6 V3 9 x200x7y5 10 xE xZlg 11 71 12 mt32x M50563 xl8ac as 2 i4 13 14 xZT 10 11 12 13 14 15 16 Simplify as much as possible making all exponents positive Assume all variables represent positiVe numbers 2 16 9x4y2 i 1 125 3 32 x 5 mod 1 Change 2 5y to an exponential expression 2 Change 1 to an exponential express10n 3 v 4a Graph each equation on a rectangular coordinate system 1 3x5y 15 3 2 2 2y2 4 9333 Find the slope of the line that passes through each pair of points 1 3 1 6 2 0 8 quot395 0 3 Are these two lines either parallel or perpendicular Find the slope of the line determined by each equation 13x24y 2 2y 4 3 a 6 Find the distance between the two points P and Q 1 P59Q8 13 2 P36Q1 2 Does the point 3 1 fall on the line with equation 3x 2y 2 11 Find the ac and y intercepts of the following lines 12x 4y28 23x2y44 Find the midpoint of the line segment joining each pair of points 1 8 5 2a 3 2 0a 4 0 5 17 18 Use the graphing method to solve the following systems of equations xy1 ax y 5 a 2 5 39quot y 3 2ac4y8 Use the substitution method to solve the following systems of equations y2x1 3 4x 3y 5 3w y7 4 2x3y1 Use the addition method to solve the following systems of equations 5 4x 34 y 2m5y 2 2y 43 ac 6 4x3y210 For each stated problem write symbols for the variable or variables translate the words into an equation or equations and then solve the problem 1 If an even number is squared the result is four more than three times the number What is the number 2 A truck can go 180 miles on 12 gallons of gas How far can the truck go on 15 gallons 3 A school board has determined that there should be 3 teachers for every 45 students How many teachers are needed for an enrollment of 300 students 4 The singles court in tennis is four yards longer than it is wide If its perimeter is 44 yards then what are the length and the Width 5 Josh opened a parking meter and removed 30 coins consisting of dimes and nickels If the value of these coins is 230 then how many of each type does he have 6 The product of two consecutive positive odd numbers is 143 Find the numbers 7 A number is 4 less than a second number Four times the first number is 6 more than twice the second number Find the numbers 8 The length of a rectangle is one inch less than twice the width The area is 45 square inches What is the length of the rectangle 9 Find the length of the longest straight line that can be drawn in a 3 inch by 4 inch rectangle 10 Jill walked diagonally across a rectangular eld that measured 1000 feet by 2400 feet Determine how far she walked 4 ANSWERS 1 1 9abzc3ab 4 2c 2 cc 5x 3 3 a b as 8 r 4 Prime 5 cc 332 6 230390 231 1 7 1 5m1 5x 8 4w 32a 5 9 a ym n 10 85656 2c 2 11 c 5x 2 12 4x 1m 3 13 Prime 14 3a 22a 7 2y 1 3172 2 1 y2 2 5 m 3 1 4 a E 1 5 In lowest terms 6 316 10512 L a 1 6 1 3 3o 1 9 2 3x 6 3 F 4 x 7 5 9 6252 7 4 a 3 6 3t 7 x 3 8 2a 6 4 1 6 7712 2 b3 n 2 5 1m 1iE 2ac0c 13l 3x6 4x 6ac6 54 6w 7 x 12 8 No solution 9 a 2 so 1 10 as 4 11 No solution 12 m 13m2x 14 9 1 1 3 6 1 5 2 2 3 Z 4 a 9 7 1 7 2 T6 3 4 4 5x23 5 4x2 5 6 g 7 5 8 10 20 9 10933112 2563 10 45 11 1 12 3V2 x 2m 13 mg 2 14 not a real number 8 1 5 2 i 3 x11 4 3w2 5 i 39 64 y 30 9 lt1 2 5W 2 lt4xquot 10 11 12 13 14 15 16 17 18 1 2 3 31 T 3 4 I u quot0 4 1 8 1 2 g 3 Nelther parallel nor perpendlcular 3 1 Z 2 0 3 Unde ned 1 5 2 2V1 Yes 1 the cintercept 40 the yintercept 0 2 4 2 the cIntercept g 0 the ymtercept 02 1 5 1 2 0 Uxy3 2 No Solution xy 2 4 w2y 1 1 4 2 225 miles 3 20 teachers 4 L 13 yds W9 yds 5 16 dimes 14 nickels 6 11 and 13 7 7and 11 8 9in 9 5 inches 10 2600 ft Math 1300 Intermediate Algebra Name Final Exam Review This review is comprehensive but should not be the only material used to study for the nal exam It should not be considered a preview of the nal exam It does not substitute for studying previous tests quizzes homework class notes text discussions etc There may be questions on the nal exam unlike questions on this review and vice versa No question on this review will be exactly duplicated on the nal exam This review is longer than the nal exam You may obtain help working the review sheet in the Math Lab located in 925N 1 Factor each expression completely 2 x2 2x 15 4 a2 81b2 6 6162 41y 2x 8 8x2 2606 15 10 8m3 32x 12 4x2 11x 3 14 6x2 17a 14 1 27a2b3c l8ab2c2 3 xa b 8a b 5 52 6303 9y2 7 1 25x2 9 mmmy nw ny 11 x2 73 10 13 x2 3x 7 Write each fraction in lowest terms L 4333 2x Zlmn3 m n 1 2 3 2cm2 35m2n n m 3a21 a2b2 5m5y4xy 4 5 6 a28a7 ab x2xy Perform the indicated operations and simplify 4x2 253122 2 39 2 x 3 3x 92 lt1 2 3 152 696 3m9 56 4 90 3 2x 2 2x 9 x 2 2 as 3 7 5 6 41132 49 902 49 x1x2x 2t3t 7 3 2 395 2 8 a2 9 a2 4 2a 4 56 3 n4 m2w 12 a25a6 a24a339 a1 Simplify each complex fraction 3 b 7m E 1 1 n 2 T 14m

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