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OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesElementary AlgebraCh 2: Solving Linear InequalitiesSection 2.11. Evaluate x 4 when x 3.Answer: 12. Evaluate 15 y when y 5.Answer: 203. Simplify: 4(4n 1) 15n.Answer: n44. Translate into algebra “5 is less than x .”Answer: x 5Section 2.2 1 1. Simplify: 7 7 Answer: 12. Evaluate 9x 2 when x 3.Answer:25Section 2.31. Simplify: 4y - 9 9 .Answer: 4 ySection 41. Simplify: -(a - 4)Answer:a 4

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises2. Multiply:3 12 x 20 .2Answer: 18x 303. Simplify: 5 2(n 1).Answer: 3 2n4. Multiply: 3(7 y 9).Answer: 21y 275. Multiply: 2.5 6.4 .Answer: 16Section 2.51. Multiply: 8 38Answer: 32. Find the LCD of15and .46Answer: 123. Multiply: 4.78 by 100.Answer: 478Section 2.61. Solve: 15t120 .Answer: 82. Solve: 6x 24 96 .

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: 12Section 2.71. Translate from algebra to English: 15 x .Answer: 15 is greater than x.2. Solve: n 9 42 .Answer: n 333. Solve: 5 p 23 .Answer: p 2354. Solve: 3a 12 7a 20 .Answer: a 2Elementary AlgebraCh 3: Math ModelsSection 3.11. Translate “6 less than twice x” into an algebraic expression.Answer: 2 x 62. Solve:2x 24 .3Answer: x363. Solve: 3x 8 14 .Answer: x2Section 3.21. Convert 4.5% to a decimal.

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: 0.0452. Convert 0.6 to a percent.Answer: 60%3. Round 0.875 to the nearest hundredth.Answer: 0.884. Multiply: (4.5)(2.38).Answer: 10.715. Solve: 3.5Answer: n0.7n .56. Subtract: 50 37.45 .Answer: 12.55Section 3.31. Multiply: 14(0.25).Answer: 3.52. Solve: 0.25 xAnswer: x0.10( x4)2.5 .63. Write an expression for the number of dimes.Answer: dq3Section 3.41. Simplify:Answer: 3h1(6 h) .2

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises2. The length of a rectangle is three less than the width. Let w represent the width. Write anexpression for the length of the rectangle.Answer: lw 33. Solve: A1bh for b when A2Answer: b260 and h52 .104. Simplify: 144 .Answer: 12Section 3.51. Find the distance travelled by a car going 70 miles per hour for 3 hours.Answer: 210 miles2. Solve: x 1.2( x 10)Answer: x98 .503. Convert 90 minutes to hours.Answer: 1.5 hoursSection 3.61. Write as an inequality: x is at least 30.Answer: x302. Solve: 8 3 yAnswer: y41 .11Elementary AlgebraCh 4: GraphsSection 4.1

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises1. Evaluate x3 when x1.Answer: 22. Evaluate 2 x 5 y when x 3 and y 2.Answer: 163. Solve: for y : 40 4 y20 .Answer: 5Section 4.21. Evaluate 3xAnswer:2 when x1.12. Solve: 3x 2y 12 for y in general.12 3 xAnswer: y2Section 4.31. Solve: 3 0 4 y1Answer:22Section 4.41 – 41. Simplify:Answer:2. Divide:82.120 4, .4 0Answer: 0, undefined

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises1515 15.,,3 333. Simplify:Answer:5,5, 5Section 4.51. Add:x144Answer:.x 142. Find the reciprocal ofAnswer:3.7733. Solve: 2x 3yAnswer: y12 for y .12 2 x3Section 4.61. Solve:23x5.Answer: x1032. Simplify:2x5Answer:2x515.6Section 4.71. Solve: 4xAnswer: x3 23 .52. Translate from algebra to English: x 5 .

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: x is less than 5.3. Evaluate 3 x2 y when x1, y2.Answer: 7Elementary AlgebraCh 5: Systems of Linear EquationsSection 5.12x31. For the equation yAnswer: (a) yes4 : (a) is 6,0a solution? (b) is(b) no2. Find the slope and y intercept of the line 3 xy12 .3. Find the x and y intercepts of the line 2x 3y12 .Answer: m3; b12Answer: (6, 0), (0, 4)Section 5.21. Simplify:Answer:5 3x.15 5x2. Simplify: 4 2 n 5 .Answer:2n 63. Solve: for y . 8y 8Answer: y2y .44. Solve: for x. 3x 9yAnswer: x323y 13.3, 2 a solution?

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 5.31. Simplify: 5 6 3a .Answer:30 15a2. Solve: the equation 1 x 53Answer: x831.242Section 5.41. The sum of twice a number and nine is 31. Find the number.Answer: 112. Twins Jon and Ron together earned 96,000 last year. Ron earned 8,000 more than threetimes what Jon earned. How much did each of the twins earn?Answer: Jon earned 22,000 and Ron earned 74,000.3. Alessio rides his bike 3 1 hours at a rate of 10 miles per hour. How far did he ride?2Answer: 35 milesSection 5.51. Multiply: 4.025 1,562 .Answer: 6, 287.052. Write 8.2% as a decimal.Answer: 0.0823. Earl’s dinner bill came to 32.50 and he wanted to leave an 18% tip. How much should thetip be?Answer: 5.85Section 5.6

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises1. Graph x2 on a number line.Answer:2. Solve: the inequality 2a 5a 12.Answer: a43. Determine whether the ordered pair 3,1is a solution to the system x2Answer: noElementary AlgebraCh 6: PolynomialsSection 6.11. Simplify: 8x 3xAnswer: 11x2. Subtract: (5n 8) (2n 1).Answer: 3n953. Write in expanded form: aAnswer: a a a a aSection 6.23 3 4 41. Simplify:Answer:3 34 42. Simplify: ( 2)( 2)( 2)Answer:82yy4 .6x

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 6.31. Distribute: 2( x 3).Answer: 2 x62. Combine like terms:Answer: x 216 xx29x7x63 .63Section 6.41. Simplify: (a) 9 2 (b) 9 (c) 922Answer: (a) 81 (b) 81 (c)81Section 6.51. Simplify:Answer:8.24132. Simplify: 2m3 .5Answer: 32m153. Simplify:Answer:12 x.12 yxySection 6.61. Add:3 x .d dAnswer:3xd

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises30 xy 32. Simplify:.5 xyAnswer: 6y 23. Combine like terms: 8a 2 12a 1 3a 2 5a 4 .Answer: 11a 2 7a 5Section 6.71. What is the place value of the 6 in the number 64,891 ?Answer: Ten thousands2. Name the decimal: 0.0012Answer: Twelve ten thousandths3. Subtract: 5 3 .Answer: 8Elementary AlgebraCh 7: FactoringSection 7.11. Factor 56 into primes.Answer: 2 2 2 72. Find the least common multiple of 18 and 24.Answer: 723. Simplify: 3(6a 11) .Answer:18a 33Section 7.2

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises1. Multiply: ( x 4)( x 5) .2Answer: x9x202. Simplify: (a) 9 ( 6) (b) 9 6 .Answer: (a)15 (b)33. Simplify: (a) 9(6) (b) 9( 6)Answer: (a)54 (b) 54Section 7.31. Find the GCF of 45 p2 and 30 p6 .Answer: 15 p 22. Multiply: (3 y 4)(2 y 5) .Answer: 6 y 223 y203. Combine like terms: 12x2 3x 5x 9 .Answer: 12 x 28x9Section 7.41. Simplify: (12 x) 2 .Answer: 144x 22. Multiply: (m 4)2Answer: m 28m 163. Multiply: ( p 9) 2 .2Answer: p 18 p814. Multiply: (k 3)(k 3)

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: k 29Section 7.51. Factor y 2 2 y 24 .Answer: ( y6)( y4)2. Factor 3t 2 17t 10 .Answer: (3t2)(t5)3. Factor 36 p 2 60 p 25 .Answer: (6 p 5) 24. Factor 5 x 2 80 .Answer: 5( x4)( x4)Section 7.61. Solve: 5y 335Answer: y2. Solve: 10aAnswer: a0.0.03. Combine like terms 12x2 6x 4x .Answer: 12 x 22x4. Factor n3 9n2 22n completely.Answer: n(n 11)(n2)Elementary AlgebraCh 8: Rational Expressions and Equations

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 8.11. Simplify:Answer:90 y.15 y 26y2. Factor: 6x 2 7x 2 .Answer: (2 x 1)(3x2)3. Factor: n3 8 .2)(n 2Answer: (n2n4)Section 8.21. Multiply:14 6.15 35Answer:4252. Divide:1415Answer:6.354993. Factor completely: 2x 2 98 .Answer: 2( x 7)( x7)4. Factor completely: 10n3 10 .Answer: 10(n 1)(n 2n 1)5. Factor completely: 10 p2 25 pq 15q 2Answer: 5(2 pq )( p 3q )

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 8.31. Add:y3Answer:9.3y932. Subtract:Answer:10x2.x10x2.x8x3. Subtract:Answer: 4n3 (2n 25)4. Factor completely: 45a 3Answer: 5a(3a b)(3a5ab 2 .b)Section 8.41. Add:710Answer:8.1537302. Subtract: 6 2x 1Answer: 8x4 x5 .263. Find the Greatest Common Factor ofAnswer: 3xy 34. Factor completely:Answer:12(4n 1)48n12 .9x 2 y 3 and 12xy 5 .

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 8.51. Simplify:Answer:35910.23134512. Simplify:Answer:42154Section 8.61. Solve:1x612Answer: x1.312. Solve: n2 5n 36 0 .Answer: n9, n43. Solve: for y in terms of x : 5x 2yAnswer: y10 for y .10 5 x2Section 8.71. Solve:n3Answer: n30 .902. The perimeter of a triangular window is 23 feet. The lengths of two sides are ten feet and sixfeet. How long is the third side?Answer: 7 feet

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesSection 8.81. An express train and a local bus leave Chicago to travel to Champaign. The express bus canmake the trip in 2 hours and the local bus takes 5 hours for the trip. The speed of the expressbus is 42 miles per hour faster than the speed of the local bus. Find the speed of the local bus.Answer: 28 mph2. Solve:1x31x45.6107Answer: x3. Solve: 18t 2 30 33t .5,t2Answer: t23Section 8.91. Find the multiplicative inverse of1Answer:82. Solve: for n :Answer: n458.20n .2.253. Evaluate: 5x 2 when10 .xAnswer: 500Elementary AlgebraCh 9: Roots and RadicalsSection 9.11. Simplify: (a) 92 (b)Answer:9(a) 81 (b) 812(c) 92 .(c)812. Round 3.846 to the nearest hundredth.

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: 3.853. For each number, identify whether it is a real number or not a real number:(a)100 (b)100 .Answer: (a) real number(b) not a real numberSection 9.21. Simplify:Answer:80.1765112. Simplify:n9n3.Answer: n 63. Simplify:Answer:q4q 12.1q8Section 9.31. Add: (a) 3 x 9 x (b) 5m 5n .Answer: (a) 12x(b) 5m 5n2. Simplify: 50x 3 .Answer: 5 x 2 xSection 9.41. Simplify: 3u 8v .Answer: 24uv2. Simplify: 6 12 7n .

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: 72 42n3. Simplify: 2 a 4 a .Answer: 82a a 2Section 9.51. Find a fraction equivalent toAnswer:5with denominator 48.8304822. Simplify:5Answer: 53. Multiply: 7 3x 7 3x .Answer: 49 9x 2Section 9.61. Simplify: (a) 9 (b) 92 .Answer: (a) 3(b) 812. Solve: 5 x 143 2x7 .Answer: 223. Solve: n2 6n 8 0 .Answer: n2 or n4Section 9.71. Simplify: y 5 y 4 .Answer: y 9

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises62. Simplify: n 2 .12Answer: n3. Simplify:x8.x3Answer: x 5Section 9.81. Add:715Answer:5.12536032. Simplify: 4x 2 y 5 .Answer: 64x 6 y153. Simplify: 5 3 .Answer:1125Elementary AlgebraCh 10: Quadratic EquationsSection 10.11. Simplify: 75 .Answer: 5 32. Simplify:Answer:8 33643.

OpenStax – Elementary AlgebraAnswers to Be Prepared Exercises3. Factor: 4x 2 12x 9 .Answer: (2 x 3) 2Section 10.221. Simplify: x 12 .Answer: x 224 x 1442. Factor: y 2 18y 81 .Answer: y 923. Factor: 5n240n 80 .Answer: 5 n42Section 10.320 5.101. Simplify:Answer:522. Simplify:4121 .Answer: 153. Simplify:128 .Answer: 8 2Section 10.41. The sum of two consecutive odd numbers is 100 . Find the numbers.Answer: 51, 492. The area of triangular mural is 64 square feet. The base is 16 feet. Find the height.

OpenStax – Elementary AlgebraAnswers to Be Prepared ExercisesAnswer: 83. Find the length of the hypotenuse of a right triangle with legs 5 inches and 12 inches.Answer: 13 inchesSection 10.51. Graph the equation y3x5 by plotting points.Answer:2. Evaluate 2x 24x 1 when x3.Answer: 5bwhen a2a3. EvaluateAnswer:1and b35.654This file is copyright 2017, Rice University. All Rights Reserved.

OpenStax - Elementary Algebra Answers to Be Prepared Exercises Elementary Algebra Ch 2: Solving Linear Inequalities Section 2.1 1. Evaluate x 4 when x 3. Answer: 1 2. Evaluate 15 y when y 5. Answer: 20 3. Simplify: 4(4 1) 15 .nn Answer: n 4 4. Translate into algebra "5 is less than x." Answer: x 5 Section 2.2 1. Simplify: 1 7 7 .