Answers. Chapter Warm Up. Sample answer: The graph of h is a translation. 3 units right of the parent linear function.

Transcription

1 Chapter. Start Thinking As the string V gets wider, the points on the string move closer to the -ais. This activit mimics a vertical shrink of a parabola... Warm Up.. Sample answer: The graph of f is a translation units right of the parent linear function The graph of g is a translation units up of the parent quadratic function. 7.. Cumulative Review Warm Up.... Practice A.. quadratic; The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent quadratic function.. The graph of f is a translation unit right of the graph of the parent quadratic function.. constant; The graph of f is a translation unit up of the graph of the parent constant function.. a linear function. 9. The graph of h is a translation units left of the graph of the parent function. Sample answer: The graph of h is a translation units up of the graph of the parent linear function. The graph of f is a translation units up of the graph of the parent constant function. Copright Big Ideas Learning, LLC Algebra A

2 0... Sample answer: The graph of f is a vertical stretch b a factor of of the graph of the parent linear function.. The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value function. Sample answer: The graph of g is a vertical shrink b a factor of of the parent linear function.. Sample answer: The graph of f is a vertical stretch b a factor of of the graph of the parent linear function. 6.. The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic function. The graph of f is a vertical shrink b a factor of followed b a translation unit down of the graph of the parent linear function. 7. Sample answer: The graph of g is a vertical shrink b a factor of of the graph of the parent quadratic function. The graph of h is a vertical stretch b a factor of followed b a translation units down of the graph of the parent absolute value function. A Algebra Copright Big Ideas Learning, LLC

3 .. The graph of g is a vertical stretch b a factor of followed b a translation units up of the graph of the parent quadratic function. 6. The graph of g is a reflection in the -ais of the graph of the parent quadratic function. 9. Sample answer: The graph of g is a translation units up of the graph of the parent absolute value function.. Practice B. absolute value; The graph of f is a vertical shrink b a factor of followed b a translation units right of the graph of the parent absolute value function.. linear; The graph of f is a vertical stretch b a factor of followed b a translation unit up of the graph of the parent linear function The graph of f is a translation units left of the graph of the parent quadratic function. The graph of h is a translation units down of the graph of the parent absolute value function.. Sample answer: The graph of h is a translation units up of the graph of the parent linear function. The graph of f is a translation units down of the parent constant function. Sample answer: The graph of f is a reflection in the -ais of the graph of the parent linear function. Copright Big Ideas Learning, LLC Algebra A

4 9.. Sample answer: The graph of f is a vertical shrink b a factor of of the graph of the parent linear function. 0.. The graph of h is a translation units right and 9 units up of the graph of the parent quadratic function. Sample answer: The graph of h is a vertical stretch b a factor of of the graph of the parent absolute value function.. The graph of f is a reflection in the -ais, followed b a translation units left and units down of the graph of the parent absolute value function.. absolute value; domain: all real numbers, range: 6. linear; domain: all real numbers, range: all real numbers 7. quadratic; domain: all real numbers, range:. The graph of h is a vertical stretch b a factor of of the graph of the parent quadratic function.. a. quadratic function b. 0; t is the number of seconds after the ball is thrown, so when the ball is thrown t 0. c. 6 ft; f 0 6. Enrichment and Etension. The graph of g is a vertical shrink b a factor of 0 followed b a translation units up of the graph of the parent quadratic function. Sample answer: Trapezoid A B C D a reflection in the -ais, followed b translation unit down and 6 units left of trapezoid ABCD. A Algebra Copright Big Ideas Learning, LLC

5 . Puzzle Time BECAUSE PEOPLE ALWAYS SAY IF IT IS NOT BROKEN DO NOT FIX IT. Practice A 9. g 0. g. g 9. g. g. g. Practice B. g. g Copright Big Ideas Learning, LLC Algebra A

6 ; r 0.6; The points lie somewhat close to the line. 6. 6; r 0.; The points lie close to the line.. Enrichment and Etension ; $0, ; $6,0; $00. Puzzle Time ROADTRIP. Start Thinking The point of intersection of the three models would be when all three models create the same profit for the same cost.. Warm Up Cumulative Review Warm Up. es. no. no. es. no 6. es. Practice A.,, 7.,,. Each term of the second equation should be multiplied b. z 0 z 0. no solution z 6. An ordered triple of the form, 0, is a solution of the sstem. 6. Roses cost $ each, carnations cost $ each, and tulips cost $ each. 7.,,. 7,, 9. a. m n m 90 n m n, m 0, n 9 b. es; 9 0. Practice B.,,.,,. Each term of the first equation should be multiplied b. 9 z z. no solution. An ordered triple of the form,, is a solution. 6.,, 7. no solution. no; The solution of the sstem is 6. nickels,. dimes, and. quarters. You cannot have part of a coin. 9. a., 7 b. es; There is one solution, so the lines intersect at a point. A6 Algebra Copright Big Ideas Learning, LLC

7 . Enrichment and Etension.,,,. 0,,,.,,,. Puzzle Time THE TALLEST LIVING HORSE WHO MEASURED SIX FEET TEN INCHES Cumulative Review. solution. solution. not a solution. solution. not a solution 6. solution 7. not a solution. solution 9. not a solution 0. solution. solution. solution. 0. t. a. m b.. gal c. gal. a..0.m b. $.7 c. $7. d. $.7. a..p b. $0.60 c. $7. d. 9. lbs, or about 9 lbs. 6 min. gigabtes 6. Distributive Propert 7. Additive Inverse Propert. Commutative Propert of Multiplication 9. Associative Propert of Multiplication 0. Commutative Propert of Addition. Associative Propert of Addition. Additive Identit Propert. Multiplicative Identit Propert.. z 6. c h 0 9. p 9 0. b 9. r. s 7. f and f. k and k.. g 9 and g 6. v and v 7. w and w 9. d and d or Copright Big Ideas Learning, LLC Algebra A7

8 . 7, 9., 9 60., 7 6. no solution 6., 7 6. no solution 6. no solution 6. 7, 66. infinitel man solutions 67., 7 6. infinitel man solutions 69., a a 7. b b 9 7. c 90c 7. 9d d m m 6 7. n n q q 7. -intercept:, -intercept: 79. -intercept:, -intercept: 0. -intercept: 7, -intercept: intercept:, -intercept:. -intercept:, -intercept:. -intercept: 9, -intercept: p 60 p infinitel man solutions 99. no solution 00.,, 0.,, 7 0. in. b 6 in. 0. a. You need 7. pounds of peanuts,. pounds of raisins,. pounds of pretzels, and pounds of chocolate cand pieces. b. Recipe B c. lbs 0. our friend; $6.0 Chapter. Start Thinking Sample answer: f ( ) 0 f( ) 0 f ( ) ( ) f ( ) f ( ) 0 f( ) f( ) 0 0 f( ) g 9. g 9. g 9. g infinitel man solutions 97.,, 7 The function f ( ) ( ) is a horizontal translation unit right ( h ). The function f ( ) is a vertical stretch b a factor of ( a ). The function f translation unit up ( k ). ( ) is a vertical A Algebra Copright Big Ideas Learning, LLC

9 . Warm Up The graph of g is a translation units right of the graph of f. 0. a a Cumulative Review Warm Up. g( ). g( ). g( ) 6. The graph of g is a translation units left and unit down of the graph of f.. Practice A. The graph of g is a translation units down of the graph of f.. The graph of g is a translation unit up of the graph of f. 7. The graph of g is a reflection in the -ais followed b a vertical stretch b a factor of of the graph of f.. The graph of g is a translation unit left of the graph of f.. The graph of g is a reflection in the -ais followed b a horizontal shrink of the graph of f b a factor of.. The graph of g is a translation units right of the graph of f. 9. The graph of g is a vertical shrink b a factor of of the graph of f. Copright Big Ideas Learning, LLC Algebra A9

10 0. When 0 a in the function g( ) a f ( ), the transformation is a vertical shrink, not stretch; The graph of g is a reflection in the -ais followed b a vertical shrink b a factor of the parent quadratic function. of the graph of. The graph of g is a translation unit right and units up of the graph of f.. The graph is a vertical stretch b a factor of, followed b a translation units left and units up of the parent quadratic function; (, ). The graph is a reflection in the -ais, followed b a vertical stretch b a factor of and a translation unit down of the parent quadratic function; (0, ). The graph of g is a translation units right and units up of the graph of f.. g( ) ; (0, ). g( ) 7; (0, 7). a. b. a h k g,, ; ( ) ( ) a h k g. Practice B,, ; ( ) ( ). The graph of g is a translation units up of the graph of f. 6. The graph of g is a translation units left and units down of the graph of f.. The graph of g is a translation units left of the graph of f. 7. The graph of g is a reflection in the -ais, followed b a horizontal stretch b a factor of of the graph of f.. The graph of g is a translation 6 units left and units down of the graph of f.. The graph of g is a vertical shrink b a factor of, followed b a translation units up of the graph of f. A0 Algebra Copright Big Ideas Learning, LLC

11 9. The graph of g is a vertical shrink b a factor of, followed b a translation unit left of the graph of f.. Start Thinking 0 f( ) 0 V shape; es; es; The line of smmetr is the -ais. 0. The graph is a reflection in the -ais, followed b a vertical stretch b a factor of and a translation 6 units left and units down of the parent quadratic function; ( 6, ). The graph is a vertical shrink b a factor of,. followed b a translation units right and unit up of the parent quadratic function; (, ) ( ) g ( ) ; (, 0). g( ) ( ) ;,. Warm Up. P (, ). P(, ). P(, ). P (, ). Cumulative Review Warm Up. linear; ; 0; After jogging for 0 minutes, 0 calories were burned.. not linear. Practice A... h( ) f ( ) Add to the output. Substitute ( ) f and simplif. g( ) h( ) Multipl the input b. into h ( ) and simplif. Substitute... Enrichment and Etension ; ( ) ; ( ) ; ( ) ; ( ) ; ( ) ; ( ). Puzzle Time EL SALVADOR. Copright Big Ideas Learning, LLC Algebra A

12 Both graphs have the same ais of smmetr,.. C; It has the largest leading coefficient, a minimum: ; domain: all real numbers, range: ; increasing to the right of 0; decreasing to the left of 0 6. minimum: ; domain: all real numbers, range: ; increasing to the right of 0; decreasing to the left of 0 7. maimum: ; domain: all real numbers, range: ; increasing to the left of ; decreasing to the right of. maimum: ; domain: all real numbers, range: ; increasing to the left of ; decreasing to the right of 9. a. noon b. 7 customers 0.. Practice B..... A Algebra Copright Big Ideas Learning, LLC

13 maimum: 6; domain: all real numbers, range: 6; increasing to the left of ; decreasing to the right of. minimum:.; domain: all real numbers, range:.; increasing to the right of ; decreasing to the left of 9. a. The maimum height occurs mile from the 6 base of the bridge. b. The maimum height is mile.. Enrichment and Etension no; The definition of a quadratic function sas a 0, but for the ais of smmetr to be undefined, a would have to be 0.. Sample answer: (, 0); The -value 7 is units awa from the verte -value. Because the -value is also units awa from, it has the same output value 0.. Puzzle Time THIS BRITISH ROWER WAS THE FIRST WOMAN TO ROW ACROSS THREE OCEANS.. Start Thinking Sample answer:. lowest; The -values on either side of are greater than.. A; Both have an ais of smmetr of.. minimum: ; domain: all real numbers, range: ; increasing to the right of 0; decreasing to the left of 0 6. maimum: 9; domain: all real numbers, range: 9; increasing to the left of ; decreasing to the right of es; Point P is the same distance from the parabola as the line is to the parabola. So, it will alwas ield the same distance as long as the measurement is taken from a point on the graph of the parabola. Copright Big Ideas Learning, LLC Algebra A

14 . Warm Up Cumulative Review Warm Up. 0.7 z 0.. Practice A z A; The directri is below the focus.. focus: (0, ), directri:, ais of smmetr: 0. in.; The receiver is at the focus verte: (, ), focus: (, 6), directri: 0, ais of smmetr: ; The graph is a vertical shrink b a factor of, followed b a translation unit right and units up. 9. verte: (, ), focus: (, ), directri: 0, ais of smmetr: ; The graph is a vertical shrink b a factor of, followed b a reflection in the -ais and a translation units left and units down. 0. verte: (, ), focus: (, ), directri:, ais of smmetr: ; The graph is a translation units right and units down.. verte: ( 6, 0), focus: ( 6, ), directri: 7, ais of smmetr: 6; The graph is a vertical shrink b a factor of, followed b a reflection in 7 the -ais and a translation 6 units left and 0 units up. 9. focus: (0, ), directri:, ais of smmetr: 0. Practice B focus: (0, ), directri:, ais of smmetr: 0 0. focus: (, 0), directri:, ais of smmetr: 0 A Algebra Copright Big Ideas Learning, LLC

15 . focus: (, 0), directri:, ais of smmetr: focus: (, 0), directri:, ais of smmetr: 0 0. focus: (0, 9), directri: 9, ais of smmetr: 0. focus: 0,, directri: 6 ais of smmetr: 0 6,. verte: (, ), focus: ( 7, ), directri:, ais of smmetr: ; The graph is a shrink towards the -ais b a factor of, followed b a reflection in the -ais and a translation units left and units up.. verte: (, ), focus:,, directri:, ais of smmetr: ; The graph is a vertical stretch b a factor of, followed b a translation units left and unit down.. verte: 9 (6, ), focus:,, directri:, 0 0 ais of smmetr: ; The graph is a stretch awa from the -ais b a factor of 0, followed b a translation 6 units right and units down.. verte: (, 9), focus: (, ), directri: 7, ais of smmetr: ; The graph is a vertical shrink b a factor of, followed b a reflection in the -ais and a translation unit left and 9 units up.. Enrichment and Etension. a. n. b. n. focus: 0,, directri:, ais of smmetr: 0. RS has a slope of s r ( s r)( s r) s r r s. s r s r OT has a slope of t t 0 0 t t t. Because RS and OT are parallel lines, their slopes are equal. So, r s t. Copright Big Ideas Learning, LLC Algebra A

16 6. To find the midpoint of a line segment, find the average of the -values and -values of the endpoints. The -value of the midpoint of RS would be r s. t The -value of the midpoint OT would be. u v The -value of the midpoint UV would be. UV has as slope of v u v uv u v u v u v u u v. Because UV is parallel to both RS and OT, all slopes are equal and u v r s t. So, the -values of their midpoints are all the same t r s and lie on the same line, or or u v.. Puzzle Time YELLOWSTONE PARK. Start Thinking Sample answer:. Cumulative Review Warm Up... The graph is a vertical stretch b a factor of, followed b a translation unit down of its parent function. The graph is a vertical stretch b a factor of, followed b a reflection in the -ais of its parent function. The graph is a vertical stretch b a factor of, followed b a translation 7 units up of its parent function.. 0.; After weeks, ou have $0. in our bank account.. Warm Up. 6 ( 6). ( ). ( ). ( ) ( ) 6. ( 6). The graph is a reflection in the -ais, followed b a translation units right and. Practice A ( ) unit down.. ( ) 9( ).. ( )( ) ( )( ) ( 0)( 6) A6 Algebra Copright Big Ideas Learning, LLC

17 7. a. b. 9 ( ) c. ( )( ) 9 d e. es; intercept form; Two intercepts were given.. 9. ft. Practice B.. ( ) 6 9. ( ). ( )( ). 6 ( 7)( ) 6. ( 9)( 9) 9 9 ( ) 7. The two given sets of coordinates were not substituted into the correct places. a( h) k 7 a( ) 7 a a a The equation is ( ).. a. The maimum area of 00 square feet occurs when the length is 0 feet. b. A( ) 00 ; A() 96 ft c. 0 to 0 ft: ft 0 ; 0 to 00 ft: ft. Enrichment and Etension. linear;..0. quadratic a. b ( ) 7. ft 0 ft c. The graph of the function is a reflection in the -ais, followed b a vertical stretch b a factor of.9 and a translation units right and 7. units up of its parent function.. quadratic a. 0 b. ( ) 7 c. The graph of the function is a reflection in the -ais, followed b a vertical stretch b a factor of and a translation units right and 7 units up of its parent function.. linear; quadratic a. b. (.). c. The graph of the function is a reflection in the -ais, followed b a vertical stretch b a factor of and a translation. units right and. units up of its parent function.. Puzzle Time PINK FLAMINGO Cumulative Review a. 9% b. 9% c. correct answers d. 60 correct answers. a. 9% b. 7% c. correct answers d. 6 correct answers e. correct answers 9. cups 0. tablespoons Copright Big Ideas Learning, LLC Algebra A7

18 or no solution 6. no solution 7. no solution no solution 66. h 67.. h 6. about. h ( )( 7). ( )( ) 9. ( )( ) 90. ( 6)( ) 9. ( )( ) 9. ( )( ) 9. ( 6)( ) 9. ( )( ) 9. ( )( ) 96. ( 7)( ) 97. ( 0)( ) 9. ( )( 0) 99. ( )( 0) 00. ( )( ) 0. ( )( ) 0. ( )( ) 0. ( 9)( 9) 0. ( 0)( ) or ( )( ). ( 6)( 7) 6. ( )( ) A Algebra Copright Big Ideas Learning, LLC

19 . 6 in.. ft. in.. 6. in. 7. i The graph of h ( ) is a vertical shrink b a factor 0. i 7 of f( ). and a reflection in the -ais of the graph of i i i 7. i 67 The graph of c ( ) is a vertical translation units down of the graph of f( ). 9. i 0. i i. i. 6. i The graph of d ( ) is a vertical stretch b a factor of of the graph of f( ) i. 7. The graph of g ( ) is a vertical stretch b a factor of of the graph of f( ). The graph of k ( ) is a horizontal translation units left of the graph of f( ).. The graph of m ( ) is a translation units right and units up of the graph of f( ). Copright Big Ideas Learning, LLC Algebra A9

20 . g( ). g( ) 7. g( ) 6. g( ) g( ). g( ). no solution., 6., or about 0.7,.9. Cumulative Review Warm Up. 9. g( ) 60. g( ) Chapter. Start Thinking.. Equation Number of -intercepts Point(s) 0, 0 0, 0, 0,, 0 0 N/A. Yes, there are patterns; Sample answer: A quadratic equation has one -intercept when the verte is on the -ais. If the quadratic equation opens down, the graph has two -intercepts if the constant is positive and none if the constant is negative. If the quadratic equation opens up, the graph has two -intercepts if the constant is negative and none if the constant is positive; The verte is a minimum if the term is positive; The verte is a maimum if the term is negative.. Warm Up.,.,. infinitel man solutions. Practice A. and.. and. and 6. and 6. and A0 Algebra Copright Big Ideas Learning, LLC

21 7. t 0 and t 0. g and g 9. and 6 0. took the square root of each side before subtracting 6, and then incorrectl added the square roots of the terms on the left side; 6 ; 9; ; ; and. and. and. m 0 and m. 9. or 7 6. c 0 and c 0; Sample answer: square root propert; There is no linear term. 7. v 0 and v 7; Sample answer: factoring and zero product propert; The binomial is factorable.. no solution; left side alwas negative, right side positive 9. and ; Sample answer: factoring and zero product propert; The trinomial is factorable. 0. Sample answer:. Practice B 0 0. and. and. 7and. and. and 6 6. and 6 7. k and k. and 9. and 0. Sample answer: a. 0 b. 0 c. 0. w and w. 0 and. and ; Sample answer: Quadratic Formula; The trinomial contains fractions. 6. n. and n.; Sample answer: square root propert; There is no linear term. 7. and 9. and 9. 0 and 0.. $0 per rental; $70 h t 6t ; t 0.96 sec.. Enrichment and Etension. units. 6 in.. or. 7 units b units. 6 and or and 6 6. and 9 or 9 and 7. and or and. 6 and 9 9. ears old 0. units b 7 units. ft. 6 ft b ft. in.. 0 cm. Puzzle Time BUY A DECK OF CARDS. Start Thinking Most calculators will show an error screen instead of answering the kestrokes entered; There is no real number answer to the epression. Most calculators are not set up to consider the imaginar number set.. Warm Up and. k 9 and k 0 Copright Big Ideas Learning, LLC Algebra A

22 . Cumulative Review Warm Up. verte:,, focus:,, directri:, ais of smmetr:. verte:, 0, focus:,, directri:, ais of smmetr:. verte:, 0, focus: ais of smmetr:. verte:,, focus: ais of smmetr:. Practice A. i. 9i,, directri:,,, directri:,. i. and. and 6. and 7. 6 and 0. 9i 9. i 0. i. i. a. 0 i b. 0 i. 0 0i. 9 i. 7 i 6. 6i 7. [ i] i 9 i i Simplif. 9 i i Definition of comple addition Definition of comple addition 9 7i Write in standard form.. Practice B. i. i 0. i 6. 7 and. and 6. and 0 7. and 0. 6 i 9. 6i 0. i. i. a. i b. i c. i. 6 i. 0i. 9 0i 6. 0 i 7.. i and i 9. i 6 6 and i 0. i and i. i and i. Enrichment and Etension. 6 i. i. 0i. i i i Multipl using FOIL. i 6i Simplif and use i. i 6 Simplif. i Write in standard form. i. i and i 9. i 7 and i i and 6i. i and i. i 6. i A Algebra Copright Big Ideas Learning, LLC

23 7. 6. quadratic, domain: all real numbers, range:. Practice A. and. and. n 0 0 and n 0 0. p 7 and p 7 9. Comple numbers and their conjugates are the reflection of one another in the real ais. 0. a 0, so a bi. Puzzle Time is a pure imaginar number. YOU D KNOW THE DIFFERENCE IF YOU EVER LET A PTERODACTYL SIT ON YOUR SHOULDER. Start Thinking 6; To find the middle term, multipl the terms inside the parentheses and then multipl the result b. To find the last term, square the second term inside the parentheses; b b b a 6a 9 a, 9 7 ; You could take the coefficient of the middle term, divide it b, and then square the result.. Warm Up. z z rs. Cumulative Review Warm Up. absolute value, domain: all real numbers, range: 0. linear, domain: all real numbers, range: all real numbers. quadratic, domain: all real numbers, range:. absolute value, domain: all real numbers, range:. linear, domain: all real numbers, range: all real numbers. c 6; 6. c 9; 7 c ; 9 7. c 69;. 9. and 0. h 9. t 6 6 and h 9 and t 6 6. s 7 and s 7. and. g 9 and g 9. square roots; Both sides are perfect squares; and 6. factoring; factorable; and 7. Sample answer: factoring and square roots; factorable, both sides are perfect squares;. completing the square; even middle term; and f 7;, 7. g ;,. Practice B. w 0 and w. k i and k i. t i 6 and t i 6 Copright Big Ideas Learning, LLC Algebra A

24 . p and p. Enrichment and Etension. f 0 0; 0, 0 ; 0 c 6; 6.. c 9 7 ; 7. c 9 ; c 00; q 0 and q 0 0. h and h. and. 6 and The graph is a vertical stretch b a factor of of the graph of the parent quadratic function.. f 0 ; 0, ;.7 and.7. t 6 and t 6. s and s. square roots; Both sides are perfect squares; 6 and 6. completing the square; not factorable; and 7. Sample answer: factoring; factorable; and. factoring; factorable; and The graph is a reflection in the -ais followed b a vertical translation units up of the graph of the parent quadratic function.. f ;, ; 0 and 9. f 9 9; 9, 9 0. g 7;, 7. h ;,. f 7 7 ;,. a. ft b. t sec or t. sec The graph is a horizontal translation units right followed b a vertical translation units down of the graph of the parent quadratic function. A Algebra Copright Big Ideas Learning, LLC

25 . f ;, ; 6. and.76. Puzzle Time ONLINE SKATER. Start Thinking Sample answer: completing the square: Use when a and b is even. Also, use when there is no c term; factoring: Use when the function is easil factorable; graphing: Use when the equation includes decimals or when approimated answers are accepted; using square roots: Use when the algebraic epression is a perfect square; graphing, using square roots, factoring, completing the square The graph is a horizontal translation units left followed b a vertical translation units down of the graph of the parent quadratic function.. Warm Up.... f 6;, 6 ; no -intercepts Cumulative Review Warm Up. g 6. g. Practice A The graph is a reflection in the -ais followed b a vertical stretch b a factor of, and a horizontal translation unit right and vertical translation 6 units down of the graph of the parent quadratic function. 6. f ;, ; 0. and and i i. and i 6 9. ; two real solutions 0. 0; one real solution. 07; two imaginar solutions The graph is a vertical stretch b a factor of followed b horizontal translation units left and vertical translation units down of the graph of the parent quadratic function.. 6; two real solutions. B. Sample answer: a ; c 6; 6 0. Sample answer: a ; c 0; 0 0 Copright Big Ideas Learning, LLC Algebra ; square root; perfect square A

26 9. and factor ; Quadratic Formula; difficult to 0. 6 ; complete the square; even middle term and leading coefficient of. and 6; factoring; eas to factor. b ac 0 c 0 c. b ac 0 c 0 c. Enrichment and Etension. and ; es. and ; es. and 7; es. Practice B. and.. and ; es. i v. 9. ; two imaginar solutions t 9 66 i i.. and ; es 6. and 0 ; es 7 7. one real solution; ; one real solution. ; two real solutions. ; two imaginar solutions. C. Sample answer: a ; c 7; 7 0. two real solutions; and. Sample answer: a ; c ; ; square root; perfect square after factoring out ; complete the square; even middle term and leading coefficient of 9. two real solutions; 0 and 7 0. i ; Quadratic Formula; odd middle term. and ; factoring; eas to factor A6 Algebra Copright Big Ideas Learning, LLC

27 0. The average of the -intercepts is the -value of the verte.. Puzzle Time SOFA SO GOOD. Cumulative Review Warm Up.. Start Thinking Sample answer: sstem with one linear equation and one quadratic equation, two points of intersection:. sstem with two quadratic equations, one point of intersection:.. sstem with two quadratic equations, two points of intersection:. Practice A. 6, 0 and,.,. 0, and,., and,., 6. no solution. Warm Up..,.. 0, 0.,. infinitel man solutions 7., and, 0. 0, and, 0 9., 0 0..,,7 and, 7 Copright Big Ideas Learning, LLC Algebra A7

28 . 0., 7. and, 0. no solution., and,. The horizontal line cuts through the circle, intersecting in two places.. Practice B. no solution., and, 6. 0, 9 and, 0.,. 0.7, 0 and.7, , 6 and, 7., and,., 0 9. no solution 0., and,.6 Start Thinking Sample answer: Graph the parabola with parabola dashed for inequalities with for inequalities with or. b c. Make the or and solid Test a point, inside the parabola to determine whether the point is a solution to the inequalit. Shade the region inside the parabola if the point is a solution. Shade the region outside the parabola if the point is not a solution..6 Warm Up... no solution., and,., and,. 7, and,. The horizontal line is tangent to the circle either at the top or the bottom.... Enrichment and Etension 9. parabola;. circle;. hperbola;. parabola; 0. circle; 6. hperbola:. Puzzle Time SPUDNIK 9.6 Cumulative Review Warm Up.. z 6 z 7.6 Practice A.. A Algebra Copright Big Ideas Learning, LLC

29 .... f 6. f wrong side was shaded 9. or 0. or all real numbers or a. w w 00 b. w 00.6 Practice B. 7. Copright Big Ideas Learning, LLC Algebra A9

30 . or or or or.7 6. a. ft; ht when t 0. b. 6t t 0 c. 0 t Enrichment and Etension Number of handbags purchased R 70 a. b. $7, c. 9 or 9 d. C 0 P 0 0 e. Price per handbag (dollars) f. between and 69, including and 69 g. $,; handbags Revenue per order (dollars) a. 0. min b. min c.. min Puzzle Time BAGELS Cumulative Review A0 Algebra Copright Big Ideas Learning, LLC

31 a. 9 items b. items 6. brother 7 min, sister min 6. a. width ft, length 9 ft b. $06 c. 66 ft , 7 6., 6. 7, , 6. 7, 70., 7. 6, 7. 7, 76. 6,, 7,, 7 9, 0, 6, a. b b b. baskets c. 7 baskets 0. a. mi/h b..7 h 0., 0 0., 06. 0, 07., 6 0., 09. 9, 0.,.,. no solution. 7,.,. no solution 6. 6, 6 7. infinitel man solutions., 7 9.,, ,,. 6,,. infinitel man solutions.,,. no solution. 6 i 6. 0i 7. i. 7 i i 0. i. i. i. 6 i. i Copright Big Ideas Learning, LLC Algebra A