Chapter 10 Answers. Practice (0,0); maximum 2. (0,0); maximum 3. (0,0); minimum y = x 2, y = 3x 2, y = 5x 2 8. y 1

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1 Chapter 0 Answers Practice 0-. (0,0); maimum. (0,0); maimum. (0,0); minimum. (0,0); minimum. (0,0); maimum. (0,0); minimum 7. =, =, =. =, =-, =-. =, =-, = 0. =, =, =-. =, =, =-7. =, =, = a b. Answers ma var. Sample: Domain should be nonnegative values. Months cannot be negative. c. Answers ma var. Sample: Range should be greater than or equal to 0. The minimum value is 0. a b. Answers ma var. Sample: Domain should be nonnegative values less than or equal to. Length of the photograph cannot be negative and cannot be greater than. c. Answers ma var. Sample: Range should be between and. These are the minimum and maimum areas available for printing. Algebra Chapter 0 Answers

2 Chapter 0 Answers (continued) 0a. 0b. Answers ma var. Sample: Domain should be nonnegative, and less than or equal to 7.. Radius cannot be negative, and not larger than one half the width of the square. 0c. Answers ma var. Sample: Range should be between and. These are close to the minimum and maimum areas. Practice 0-. = ; (, -). = -; (-, -). = ; (, ). = -; (-, -). = 0; (0, ). = ; (, ) 7. = -; (-, -0). = ; (, ). = ; (, ) 0. (0, ) A 0 0 (, ) (, ) (, 0) (0, ) r (, ) (0, ) (0, ).. (, ) (, ).. (, ) (0, ) 0.. (0, ) (0, ) (0, ) (0, 0) (, ) (0, ) 0 0 (, ) (0, 0) (, ) (, ) (0, ) 0 Answers Algebra Chapter 0

3 Chapter 0 Answers (continued) No solution. No solution No solution No solution No solution ft. in... ft/s.. ft. 0 ft/s (, -); minimum. (-, -); maimum. (0., 0); maimum. (-, ); maimum. (, -7.); minimum. (.,.); maimum 7. ft; es. $.7.. ft; no Practice 0-. Rational. Rational. Irrational. Rational. Irrational. Irrational 7. Rational. Rational and 7. and. - and - 0. and 0. - and and -. and. and a.. ft b.. ft c. 7. ft d.. ft. 0. ft Practice No solution No solution No solution Practice 0-. -,., -., -. -.,. -7,.. -.,. 7. 7, -0.., , , -., -. -,. -0,. -, -., -. -, 7., -. -7, -., - 0.,. -,.., -.,.., -., -.., 7., 0..., -.., -. 0., in., in.. in., in.. 0 in. b in... s. -,. -, ,.,.. -., 0. 7, -. -,. -.,...,.. -,. -.,. 0, - 7., -.,. -, 0. -7, -., -., Practice , -. -, 7. -., , ,.7., 0. -., 7.. 0, 7., -. -0, -. -, 7., -. -, -. -0, 0., 7.,. -,.,. -,., -., 7., 7.,. 7, - 0.,., -., -.,., Practice , ,. -,. -,. -.,.. -,. 7..7,.., ,.7 0.., , -. -,. 0.,.. -, ,. -., ,. No real solutions. 0.7, - 0., ,. -0.7, 0.7..,.. -.7, -.. 0, -. No real solutions 7. -,. -., 0..,. 0. No real solutions. 7.,.. -., -.0.., ,.. -, -.7. No real solutions 7. -,. -0.7, , 0..0, 0.. No real solutions.., -7..., 0..., -...7,.. No real solutions 7..7, -. -,.., , -7.., 0... in. b. in... s.. ft b. ft. base in., height 0 in. Algebra Chapter 0 Answers

4 Chapter 0 Answers (continued) Practice no. es 7a. es 7b. no. no Practice 0-. Quadratic; =. Linear; =-. Eponential; =. Linear; = +. Eponential; =?. Quadratic; =- 7. Quadratic; =. Linear; =- -. Quadratic; = 0. Eponential; =-?. Quadratic; =-. Linear; = - +. Linear; =. Eponential; = -? a. Linear b. = + 00 c. $ d. computers a. Eponential b. = 0?. c. 0 Reteaching 0-. upward, zero. upward, up one 7. upward, down four. downward, down three. downward, up seven 0. upward, down two Reteaching 0-. = =. (, 0). Answers ma var downward, zero. upward, zero. downward, down three. upward, up one-half 7. Answers Algebra Chapter 0

5 Chapter 0 Answers (continued) Reteaching 0-. Principal Negative Rational/ Perfect Square or " Between Which Number Square Root Square Root Irrational Two Consecutive Integers - rational perfect square.0 c -.0 c irrational between and.7 c -.7 c irrational between and - undefined undefined undefined undefined - rational perfect square. 0; rational.. c; irrational. undefined. 7.7 c; irrational. 0; rational 7. - ; rational Reteaching 0-. = 00. =. =-. = = = = - = = " = " = " = = = " no solution = Reteaching 0-. -, -., -.,.,. -., -., , 7.., -., - Reteaching 0- a. Divide both sides b. b. Add to both sides. c. Square the coefficient of, and add to both sides. d. Write the right side as a square. e. Take the square root of both sides. f. Simplif and solve for. g. Write two equations. h. Solve..,.,. 0.,.7. 0., -. Reteaching , -. -, -. 0., -..,. -,..7, -. 7., -.., -.0 Reteaching 0-. -; none; none. -; none; none. 0; one; one. 0; one. 7; two. -; none Reteaching 0-. Linear; = -. Quadratic; =-. Linear; = +. Eponential; =-?. Quadratic; = Ä Enrichment 0-.. Parabola. Check students work.. Check students work.. to, to, to, to, to, 0 to, to 7, to, 7 to, to 0, to, to, to, to, and to.. The sum is alwas more than the number of points in the design. Enrichment m. No. An object falls m during the first second, m during the second second, m during the third second, and so on. t(s). a curve that becomes increasingl steeper as time increases d (m) gt The relationship between d and t is a quadratic function, d = t and is therefore a parabola. Algebra Chapter 0 Answers

6 Chapter 0 Answers (continued) Enrichment 0-. Crossword puzzle answers Across: Down: Enrichment 0-. Answers ma var. Correct prediction is a curve that moves forward and downward.. t(s) d h = (0 m/s)t (m) d v (m) gt Enrichment 0-7. = 7, = or =, = 7. =, = or =, =. =, = or =, = Enrichment 0-. = The graph opens downward below the -ais and upward above the -ais. The turning point is at (0, 0). The graph is like two halves of a parabola with one of the halves turned upside down.. = dv(m) d h (m). Horizontal velocit: The greater the velocit (the farther the ball will travel forward during each second), the broader the curve; the smaller the horizontal velocit, the steeper the curve. Enrichment 0-. (, 0). (-, 0). (0, 0). (, 0).. (-, 0); (-, 0) 7. (-, 0). a, 0b. (0, -) 0. a and, b Enrichment 0- a, 7 b a 7, b. d = "( ) ( ) ( ) = ". AB = "; AC = "; BC = "; B and C are farthest, A and C are closest.. = = = Answers Algebra Chapter 0

7 Chapter 0 Answers (continued) Enrichment 0-.. Checkpoint Quiz..... Chapter Project Activit : Graphing s d Activit : Calculating Skid Mark Length (d) ; Answers ma var. Sample: Because the relationship between d and s is not linear. Check students work. Activit : Reasoning about 7 mi/h Stopping Distance 70 0 Activit : Communicating Check students work. 0 Safe Stopping Distance d 0 Speed (mi/h) Estimated Speed (s) Dr Road Wet Road 0 ft 0 mi/h mi/h 0 ft 7 mi/h 0 mi/h a. <.7 s b. ft Checkpoint Quiz. -, -. -,. No real solutions. -,.., -..., , -.,. -.7, No real solutions Chapter Test, Form A. A. D. C. B. = 0; (0, ); maimum. =- ;minimum ; a, b 7. = ; (, -); minimum. =-; (-, -); minimum. 0 0 Algebra Chapter 0 Answers 7

8 Chapter 0 Answers (continued) 0. Chapter Test, Form B. D. B. A. C. = 0; (0, ); minimum. = ; (, -); minimum 7. = ; ; a, 7 b maimum. = 0.; (0., -0.7); minimum Answers ma var. Sample: and. and. 0 and 7. - and No real solutions. No real solutions.., -..., 0.7.,. 7.., -7. ft. 0 d b 00 d 0. Quadratic; =. Eponential; =?. Linear; = +.. Answers ma var. Sample: Answers Algebra Chapter 0

9 Chapter 0 Answers (continued).. and 7. and. and 7. - and No real solutions. No real solutions.., -.., , 7.,. 0 ft b 0 ft a. b. 0 c..7 s 0. Quadratic; =. Eponential; = 0? a b. Linear; = - Alternative Assessment, Form C TASK Scoring Guide: a. If a is positive, parabola opens upward; if a is negative, parabola opens downward. b. When the parabola opens downward, the -coordinate of the verte is the maimum value of the function; when the parabola opens upward, the -coordinate of the verte is the minimum value of the function. c. Highest or lowest point on a parabola d. c shifts parabola upward or downward Eplanation is thorough, correct, and clearl identifies the role of each segment of a quadratic equation. Eplanation is mostl complete and correct. Eplanation lacks detail and contains errors. 0 Student makes no attempt, or no response is given. TASK Scoring Guide: a. Check students work. b. Check students work. Graph is correctl drawn and clearl demonstrates an understanding of how a quadratic function looks. Eamples demonstrate original ideas and an understanding of the relationship between the quadratic function and a real-life situation. Graph has minor errors in scale or orientation. Eamples demonstrate an understanding of the relationship between the quadratic function and a real-life situation. Graph contains errors in scale and/or orientation. Eamples show a limited understanding of the relationship between the quadratic function and a real-life situation. 0 Student makes no attempt, or no response is given. TASK Scoring Guide: a. r =. in. b. r =. in. c. r =.0 in. Solutions are correct. Most solutions are correct, with onl minor computational errors. Solutions contain major errors. 0 Student makes no attempt, or no response is given. TASK Scoring Guide: a. ; two real solutions; -, - b. 0; one real solution; c. -; no real solutions Solutions are correct. Most solutions are correct with onl minor computational errors. Solutions contain major errors. 0 Student makes no attempt, or no response is given. Cumulative Review. C. D. C. B. D. B 7. A. A. B 0. C. B. C. A. D.. 7. %. 0 m. 0. $ for a lunch. #. An set of ordered pairs is a relation. A function is a special kind of relation that pairs onl one -value with each -value.. Ais of smmetr: = Verte: a, b -intercepts: 0, Algebra Chapter 0 Answers