Evaluating Algebraic Expressions (pages 6 and 7) Multiplication and addition Multiplication and subtraction (5, 1)

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1 Section. Evaluating Algebraic Expressions (pages and ). Algebraic Expression Numbers Variables Operations x x Subtraction w +, w, Multiplication and addition Multiplication and subtraction. smaller; When ou subtract larger and larger values from 0, ou will have less and less left.. $0. $ $; $ x x. What shape could have an area of square feet? What shape could have an area of s square feet?. (, ). (, ). C x x Section. Writing Expressions (pages and ). x take awa ; x ; x x. a. + w or w +. + or +. z or z. The expression is not written in the correct order;. a. x b. Sample answer: If the total cost is $0, then the cost per person is x = 0 = $. The result is reasonable.. Sample answers are given.. The sum of n and ; more than a number n. A number b less than ; take awa a number b. ;. x + ; A0

2 . a. Game Cost $ $ $ $ $. It might help to see the pattern if ou make a table of the data in the bar graph. b. Cost (dollars) 0 (, ) (, ) (, ) (, ) (, ) 0 0 x Game c. + d. $. x. 0. Section. Properties of Addition and Multiplication (pages and ). Sample answer: + = + =. Sample answer: ( x) = (x ). Comm. Prop. of Mult.. Assoc. Prop. of Mult.. Add. Prop. of Zero. The grouping of the numbers did not change. The statement illustrates the Commutative Propert of Addition because the order of the addends changed.. ( + ) + = ( + ) + Comm. Prop. of Add. = + ( + ) Assoc. Prop. of Add. = + Add and. = x. (w) = ( )w Assoc. Prop. of Mult.. (0 + a) + = a + Add. Prop. of Zero = w Multipl and.. (. d ) =. (d ) Assoc. Prop. of Mult. =.d Mult. Prop. of One. (. + n) + = (n +.) + Comm. Prop. of Add. = n + (. + ) Assoc. Prop. of Add. = n +. Add. and.. z 0 = (z 0) Assoc. Prop. of Mult. = 0 Mult. Prop. of Zero = 0 Mult. Prop. of Zero. a. x represents the cost of a box of cookies. b. 0x. + (x + ) = x +. ( ). ( + ) = x. w.. 0. is alread prime... B A

3 Section. The Distributive Propert (pages and ). Sample answer: You must distribute or give the number outside the parentheses to the numbers inside the parentheses.. + (x ) does not belong because it doesn t represent the Distributive Propert b n +. w x. + z. + x. x +. a. 0( + x) = 0 + 0x b. Sample answer: $; It is less than the regular price to the exhibit. c. Sample answer: $00; es. 0(0 x) = 00 0x. ( x) = x. x =. x =. ( + x). ( + x + ). The expression for the profit will contain an expression for the large candles and an expression for the small candles no;. no;. C Section. Using Formulas to Solve Problems (pages and ). Sample answer: You substitute value(s) for the variable(s) to find the value of the formula.. in.. 0 in.. 0 ft. a. ft b. ft ft c. ft; The base of the parking space is related to the length of the car.. a. in. b. almost bowls. x. x 0 x. carats; If ou let c =, then P = 00.. Area of black = in. Area of ellow = in. Area of each blue stripe = in... A

4 Section. Fractions and Estimation (pages and ). rounding; The product will be easier to compute.. rounding; The product will be easier to compute... How to Round Estimate Round to the nearest hundred. 00 = Round to the nearest ten. 0 = 0 Round to the nearest compatible number. = is closer to than to 0. 0 = Which operation should ou use?. in. ; underestimate... Sample answer: low estimate: in. ; high estimate: in... To find a low estimate, round the dimensions down. To find a high estimate, round the dimensions up. Section. Multipling Fractions and Whole Numbers (pages and ). Multipl the numerator of the fraction. ; because > b the whole number. Then write the product over the denominator should be multiplied b, not. = =, or. cups.. 0. Multipl first b the Comm. Prop. of Mult.; 0. Multipl first b the Comm. Prop. of Mult.; A

5 Section. Multipling Fractions and Whole Numbers (cont.) (pages and )..... es; If ou have more mone than our friend, then of our mone could be greater than of our friend s mone.... D Section. Multipling Fractions (pages 0 and ). Multipl numerators and multipl denominators, then simplif the fraction You did not multipl the denominators. 0 = 0 = 0 = ( > ) ; Because >, the product will be greater than.. Sample answer:. a b. people Section. Multipling Mixed Numbers (pages and ). a fraction with a numerator that is greater than or equal to the denominator. Sample answer: = A

6 . You must first rewrite the mixed numbers as improper fractions and then multipl.. a. ft b. 0 ft.. = = =, or... No; Positive mixed numbers are greater than and the product of two numbers greater than is alwas greater than.. a. hours b. : a.m x. x Section.. Sample answer:..,.. B. A.... You need to invert the second fraction before ou multipl. = = =, or Dividing Fractions (pages ) Round to and to. =, which is not close to the incorrect answer of 0.. times... es. es.. >; When ou divide a number b a fraction less than, the quotient is larger than the number.. >; When ou divide a number b a fraction less than, the quotient is larger than the number when the fraction has a in the numerator; The reciprocal will have a in the denominator, so it is a whole number... It might help to make a table to find how man bowls and plates ou can glaze so there is no glaze left over C A

7 Section. Dividing Mixed Numbers (pages and )..... sometimes; The reciprocal of is, which is improper..... The mixed number was not written as an = improper fraction before inverting.. hamburgers = = = 0, or a. ramps; Sample answer: The estimate is reasonable because was rounded down. b. ramps; feet left over C Section. Writing Decimals as Fractions (pages and ). Sample answer: 0. = Because is in the thousandths place, the denominator should be = hours.. 0.0; ;. It ma help to organize the information in a table.. 0.;.. 0.; B. A

8 Section. Writing Fractions as Decimals (pages and ). When the remainder is 0 or the decimal begins repeating. terminating. repeating The digit does not repeat; = >. ; 0.., 0.. Sample answer:. a. ; 0. = 0....; = 0....; = 0....; = 0....; = 0....; = = 0....; b. ; = Section. Decimals and Estimation (pages 0 and ). Sample answer: You use an estimate to approximate the price of an item after a % discount....,,... Compatible numbers, because rounding does not give numbers that are eas to use.. Rounding, because it gives numbers that are eas to use Sample answers are given lb; too much. m. ft.. The calories burned in the table are for five minutes, not one minute.. Sample answer: Your cousins, from out of town, leave at :00 a.m. to visit ou. To be sure ou are home when the arrive, ou underestimate their travel time A

9 Section. Multipling Decimals and Whole Numbers (pages and ). ; The decimal factor has decimal places... is how much more than?;.; The decimal is in the wrong place. 0. =.0.. ft x +.. b w =. =.. Answers should include, but are not limited to: a. menu with main items, desserts, beverages, and prices b. guest check for people showing items, prices, and subtotal c. tax and total with tax are shown d. amount rounded to nearest dollar, 0% tip, and total amount paid are shown.,.,0 Section. Multipling Decimals (pages and ). Place the decimal point so that there are two decimal places... = $.. $ Each number is 0. times the previous number; 0.00, 0.000, Each number is. times the previous number;.,., = =.. a. 0.0 miles b.. miles. Which framing is thicker?.. A

10 Section. Dividing Decimals b Whole Numbers (pages 0 and )..;.;.. =... =... = The brought down zeros instead of.. $ the -pack; The price per unit is $0. for the -pack, $0. for the -pack, and $0. for the -pack. So, the -pack is the best bu.. ) Swimming a quarter second faster means to subtract 0. second from each swimmer s time.... A Section. Dividing Decimals (pages and ). 0. ) The decimal point in the dividend should be moved to the right instead of the left; 0. ). ),0.. ft..... about.0. about 0.. =. <. bees. When dividing, make sure our units cancel.. %. %. B A

11 Section. Percents and Fractions (pages and )., because it is equal to 0., and the others are equal to 0... es; You can rewrite as the improper fraction, which is equal to % %; method of Example. %; method of Example. 0. %; method of Example..%; method of Example. %; method of Example..%; method of Example. The decimal point should not have been added to the percent expression. = = 00 = %. 0%. = %. %. %. The question cannot be answered because the goals for the two ears are not stated.. % or. % Section. Percents and Decimals (pages and ). B. C. Sample answer: 0., 0., %. %. %..%. %..%. The decimal point was moved in the wrong direction. 0. = 0.. = %. %.. a.. % or % b. 0 = 0.. = 0.. 0% ( + ) + = ( + ) + Comm. Prop. of Add. = + ( + ) Assoc. of Add. = + Add and.. c = c Comm. Prop. of Mult. = 0c Multipl and.. A0

12 Section. Comparing and Ordering Fractions, Decimals, and Percents (pages and ). Fraction Decimal Percent % 0. % 0. % 0. % 0. %. 0.0; 0.0 = %, but 0%,, and 0. are all equal to 0%.. 0%.. % %. 0%. 0. = 0. 0 % = % 0.0 =.% 0 = %..% = 0. = 0. = % % 0% % Japan, Brazil, United States, China. %, 0., 0,. D. C. Write the numbers as percents or decimals to make the ordering easier C Section. Finding the Percent of a Number (pages and ). What is 0 multiplied b 0?; 00; The percent was not written as a decimal or fraction before multipling: 0% = 0.0 = 0... in =. >. min. a. in. b..%. Sample answer: Because 0% of n is equal to times % of n and % of n is equal to times % of n, ou can write 0% of n = = and % of n = =.. a. points b..%.. 0 A

13 Section. Percents and Estimation (pages and ). Sample answers are given.. %. 0%. % of does not belong because it is about, and the others are about.. Sample answers are given about $. a. 0 b sometimes true; It depends on how much the percent is rounded down compared to how much the number is rounded up.. Sample answer: Northeast: 00 children Midwest: 0 children South: 0 children West: 0 children. Your friend s estimate is closer, because = 0., which is closer to % (0.) than Section. Ratios (pages and ). to, :. Sample answer: Smith: vowels to consonants =.., :, to or, :, to ; There are basketballs for ever soccer balls.., :, to ; There are shirts for ever pants... Sample answers are given...,.,. 0, 0.,. The numerator and denominator should be multiplied b the same number; = =. black pieces; The ratio of black to red is :, so the ratio of black to all is :. An equivalent ratio is :.. It ma be helpful to organize our results in a table.. girls.... A

14 Section. Rates (pages 00 and 0). Sample answer: You walk at a rate of blocks, so ou walk blocks in minutes. min. 0 words min. $ week strikes per minute students computers mi h. baskets min. 0 kilobtes sec. $ tickets. mi gal. The -pack of energ bars is the better bu because it has a smaller unit rate ($. per bar) than the 0-pack ($. per bar).. equivalent. not equivalent. Use Guess, Check, and Revise to find how man more items Homeroom B needs to collect.. and. Sample answers are given.., Section.. Distance equals speed times time.. 0, 0 Solving Rate Problems (pages 0 and 0). B. 0 mi. ft. in./sec. ft/min. m. 0 ft. $. 0 cit blocks.. in./min. Time is given in two different units. Be sure to convert one of them... Section. Mean (pages and ). No; Dividing the sum of the data b the number of data values to find the mean does not necessaril result in one of the data values.. Add the data values then divide b the number of data values.. The average could be 0 if ou consider the most common value, or if ou consider the mean.. brothers and sisters. visits.. minutes. Sample answer: 0,,,,,, 0, 0., 0.,.,., A

15 Section. Mean (cont.) (pages and ).. inches; No, neither team has a height that is much shorter or taller than the other heights. So, ou can sa that the Tigers are taller than the Dolphins on average.. pounds; Use the mean of each collection to work backwards to find the total weight of the collection. Divide the sum of the weights of the two collections b the total number of backpacks (0) to find the mean Section. Median, Mode, and Range (pages 0 and ). Sample answer:,,,,,. The greatest and least data values; The range is the difference of these values...; No, the mode would be better because most of the data values are the mode of 0.. median: ; mode: ; range:. median:.; mode: ; range:. median: ; mode: ; range:. The data was not ordered from least to greatest; The median is., 0,,,,, ; The range is =.. singing. Sample answer: An outlier increases the range of a data set because there is a wider spread between the greatest and least value.. mean:.; median:.; modes:, ; range:. mean:.; median:.; no mode; range:.. median: ears; mode: ears; range: ears. Find the mean, median, and mode with the original values and then again with the new value.. Sample answer:,,, 0,,. Outlier: ; With outlier:.; Without outlier: Section. Analzing Data Sets (pages and ). The mean is likel to be most affected unless the middle values are far apart, because then the median can be affected more b removing the outlier. The mode is unaffected unless the mode consists of outliers.. Sample answer: 0, 0, 0, 0,,,, A

16 . Number Tall Total Total 0 0 Number 0. mean: 0; median: 0; mode: Sample answer: The mean is probabl best, because the mode is the greatest value and the median is too far from the greater values.. mean: 0; median:.; mode: Sample answer: Either the mean or median is best, because the are both at the middle of the data, while the mode is the greatest value.. With Outlier Without Outlier mean: mean:. median:. median: mode: mode: The outlier makes the mean greater than most of the data, increases the median slightl, and does not change the mode.. With Outlier Without Outlier mean: 0 mean: median: median: mode: mode: The outlier makes the mean greater than all of the other values, but does not affect the median or mode.. Answer should include, but is not limited to: Prices of 0 cereals with outlier; unit prices calculated. a. Calculation of mean, median, and mode and explanation of which is best. b. Outlier identified; mean, median, and mode calculated; measure most affected described.. a. No; The price is the mode, but it is the lowest price. Most cameras cost more. b. B advertising the lowest price, the are likel to draw more customers to the store. c. Knowing all the measures can help ou to know whether the store has man models in our price range.. The mean, median, and mode increase b, but the range does not change..... A

17 Section. Circles and Circumferences (pages ). The radius is one-half the diameter.. Sample answer: A lawn game has two circular targets with -inch diameters. You lost one. You want to use a length of wire to make a replacement. C = π d = You need a piece of wire inches long.. mm. cm.. ft. about in.. about. m. about. ft. about. cm; about. cm. about.0 m; about. m. es; Because circumference π r = radius r π r = r = π, the ratio is the same for ever circle.. a. small tire: about rotations; large tire: about rotations b. Sample answer: A biccle with large wheels would allow ou to travel farther with each rotation of the pedal.. ft. in. Section. Perimeters of Composite Figures (pages 0 and ). less than and equal to; The perimeter is less than when figures making up a composite figure share a common side (dashed line). The perimeter is equal to when the figures making up a composite figure share a common vertex... in... in.. in.. m. 0 cm. about. in.. about. ft. Remember to subtract the original garden side that ou now cover up with the new portion of the flower garden when tring to add feet to the perimeter.. Yes; Sample answer: B adding the triangle shown b the dashed line to the L-shaped figure, ou reduce the perimeter A

18 Section. Areas of Circles (pages and ). Divide the diameter b to get the radius. Then use the formula A = π r to find the area.. about. mm. about in.. about. cm. about. mm. about 00. in.. about cm. about. ft. What fraction of the circle is the dog s running area?. about. in. ; The two regions are identical, so find one-half the area of the circle.. about. ft ; Find the area of the shaded regions b subtracting the areas of both unshaded regions from the area of the quarter-circle containing them. The area of each unshaded region can be found b subtracting the area of the smaller shaded region from the semicircle. The area of the smaller shaded region can be found b drawing a square about the region. ft ft Subtract the area of a quarter-circle from the area of the square to find an unshaded area. Then subtract both unshaded areas from the square s area to find the shaded region s area... D Section. Areas of Composite Figures (pages and ). Sample answer: You could add the areas of an -inch -inch rectangle and a triangle with a base of inches and a height of inches. Also ou could add the area of a -inch -inch rectangle to the area of a trapezoid with a height of inches, and base lengths of inches and 0 inches... in.. in.. in.. cm. Answer will include but is not limited to: Tracings of a hand and foot on grid paper, estimates of the areas, and a statement of which is greater... in.. m. Each envelope can be broken up into smaller figures to find the area... w A

19 Section. Writing Equations in One Variable (pages 0 and ). An equation has an equal sign and an expression does not.. Sample answer: A number n subtracted from is.. What is the circumference of a circular pond ripple with radius feet? about. ft. =. w =. = c. n =. 0 = 0 + a. = x. = () + () + x. It might be helpful to organize the given information visuall.... C Section. Solving Equations Using Addition or Subtraction (pages ). Substitute our solution back into the original equation and see if ou obtain a true statement.. subtraction. So x is b itself. So the two sides remain equal.. es. no. es. t =. What number plus equals?; a =. 0 is what number minus?; d =. z =. p =. h =. q =. x = 0. The must appl the same operations to both sides.. a =. = + + =. x = ; th floor. Subtraction Propert of Equalit; Subtract.; Addition Propert of Zero. k + = ; k =. = g + ; g =. =. v =. d =. x = ; in.. Addition is commutative.. Begin b writing the characteristics of each problem.. a. r = f +.; g =. 0.; f = g +. r = $; g = $.; f = $. b. $.... B A

20 Section. Solving Equations Using Multiplication or Division (pages and ).. x =. = (n ). s = 0. x =. a =. = 0. x =. d =. b =. n =.. The should have multiplied b.. 00 = 0; r x = (x ) = x =. units. units. 0 cards. length: 0 in.; width: in.. t =. s = Section.. There are two different operations. Solving Two-Step Equations (pages 0 0). (x ) = ; The others all can be rewritten as x =.. z = 0. c =. b =. t =. t = 0. s =.. Subtraction should be the first step. = + = =. lb. c =. =. a =. x =. s = 0. d + d = ;. cm. g =. x =. z = 0. s =. x + + = ; in.. x + x + x = ; d.. cups. The measurements are given in two different units B A

21 Section. Finding Dimensions of Plane Figures (pages 0 and ). Square centimeters represents an area, not a length.. = x; mm. = (w); in.. 0 = c + ; m. = a;. ft. = ( + )s; km. 0. m. in.. Draw a diagram and label all of the dimensions ou know.. x =. h =.. B Section. Finding Dimensions of Prisms (page and ). cubic units. cubes. cubes. ft. 0 = h ; 0 cm.,00 = 0 h; mm. = ; in.. cubes. Tr to find the length of the largest shell and use that to estimate the length and width of the shadow box.. a. Sample answer: in. b. no; The container onl holds cubic inches.. es. no Section. Writing and Graphing Inequalities (page ). Both phrases refer to numbers that are larger than a given number. The difference is that greater than or equal to includes the number itself, whereas greater than does not.. The graph of x has a closed circle at. The graph of x < has an open circle at.. k < 0. z <. +. es. es. no. B. D. x < ; A number x is less than.. x ; A number x is at least A0

22 . x means that is also a solution, so a closed circle should be used. 0. a. b ; b. ; 0. The cost of the necklace and another item should be less than or equal to $.. sometimes; The onl time this is not true is if x =.. p. x =. x =. D Section. Solving Inequalities Using Addition or Subtraction (pages 0 and ). Sample answer: x +. B solving the inequalit to obtain x, the graph has a closed circle at and an arrow pointing in the negative direction.. x < ;. ; 0. > x ;. < 0; < x ;. n ; 0 0. To solve the inequalit, should be added. x +. ; x $.0 to both sides, not subtracted. t + + t. x > ; x >. > s ; 0.,0 + d >,0; d > 00 dragonflies. The estimate for running a mile should be greater than minutes, because the world record is under minutes.. t =. x =. A A

23 Section. Solving Inequalities Using Multiplication or Division (pages and ). The solution to x 0 includes the solution to x = 0, x =, and all other x values that are greater than.. Div. Prop. of Ineq.. Sample answer: x, x. n > ;. c ;. x ; p ;. x < ;. v 0; q ;. x ;. x < ; x < ft n < ; n <. w;. w.. 0x > ; x >. ards per pla. Sample answer: The number of gallons of milk ou can bu with $0.; The length of a park that has an area of at least 00 square feet.. es; Because a > b and x >.. es; Because a > b and x >.. x =. x = Section. Solving Two-Step Inequalities (pages and ). Add to each side to get x b itself.. s does not belong because the solution is s and the solutions of the other three are all s 0.. t > ;. s < 0;. a < ; ;. c ;. k >.; The should have subtracted first.. 0x ; x m a + >. 0x + 00; x. m a >. p + 0 0; p.; Each student needs more pledges. a >. x > ; x > visits a ear ; An individual membership is better if ou go or more times a ear. When ou visit more than times a ear.. ft.. m. A

24 Section. Mapping Diagrams (pages 0 and ). the first number; the second number. As each input increases b,. As each input increases b, the output increases b. the output increases b. Input Output Input Output 0 0. (, ), (, ), (, ), (, ). Input Output 0. Input Output 0. The first number of each ordered pair. Input Output should be an input and the second number should be the output that corresponds to the input. Input Output As each input increases b, the output increases b.. Input Output 0 As each input increases b, the output decreases b 0.. x + = ; x =. C. a. Input Output 0 b. The pattern is that for each input increase of, the output increases b $ less than the previous increase. For each additional movie ou bu, our cost per movie decreases b $. A

25 Section. Functions as Words and Equations (pages and ). input variable: x ; output variable:. = x. = x. = x. = x no. no. es. a. d = s b. 0 ft.. The profit is equal to the revenue minus the expenses.. no; Man rectangles have the same perimeter but different areas.. x x + 0. C Section. Input-Output Tables (pages and ). Choose the inputs that represent the situation or show the pattern of the function. Pair each input in the table with its resulting output.. Input, x Output,. = x + Input, x 0 Output, x. = x +. =. Each output in the table is one-fourth of the input, but the equation would make each x output four times each input; =. Input, x 0 0. Sample answer: Output, GMT, x :00 :00 :00 :00 0:00 Eastern Standard :00 :00 :00 :00 :00 and.. B Time, (, ) (, ) O x A

26 Section. Graphs (pages 0 and ). Make an input-output table. Plot the ordered pairs. Draw a line through the points.. Find points on the graph. Make a mapping diagram or input-output table to show the pattern. Use the pattern to write a function rule.. (, ) (, ) (, ) (0, ) 0 0 x. (, 0.) (, ) (,.) (, ) x. (, ) (, ) (, ) 0 0 x. (, 0.) (, 0.) (, 0.) 0 0 x. (, 0) (, ) (, ) 0 0 x. (,.) (, ) (,.) 0 0 x. Part (c) asks for the sale price, not the discount..... C Section... A function is called a linear function if its graph is a line. p 0 Analzing Graphs (pages and ) 0 0 (, 0) (, 0) (, 0) 0 0 d. C. Radius, r Diameter, d d 0 0 r d = r. es; The graph is a line.. no; The graph is not a line.. no; The graph is not a line.. es; The graph is a line.. no; The graph is not a line.. = x = x 0 0 x. = x + = x 0 0 x. Figure, x Area, no; The graph is not a line. = x; is greater than. = x + ; is greater than.. Pompano Beach; about 00 flights; Sample answer: From the graph, Pompano Beach has about 0 flights each da and Gainesville has about 0 flights each da C A

27 Section B. The Number Line (pages A and A).,,. does not belong because the value of each of the other expressions is a. diver: ; scientist:.. > b., c. the diver., 0,,,., 0,,,, sometimes; If the number is negative then its absolute value is greater, but if the number is positive then it is equal to its absolute value.. a. Florida, Louisiana, Arkansas, Tennessee, California b. California, Louisiana, Florida, Arkansas, Tennessee. If x and are both positive, or if x is negative and. is positive, or if x is 0 and is positive, then x <. If x and are both negative, or if x is positive and. is negative, or if x is 0 and is negative, then x >. Section B. Number Line Operations (pages A0 and A) When adding a positive number,, ou move to the right, not the left. + = To find the next term, subtract from the previous term. The next three numbers in the pattern are, 0, and.. Find the number of points ou would have if ou answered the four remaining questions correctl and then write an equaiton to find our opponent s score.. x <.. A

28 Section B. Fractions on the Number Line (pages A and A). a. Sample answer:. ; An positive number is greater. ; is to the right of than an negative number. on a number line.. ; is to the right of on a number line.. Sample answer:. ; is to the right of on a number line.. The larger sand dollar.. 0 burrowed farther.. Write the numbers as decimals, instead of finding a common denominator..,,,,,,,,,,,,, ; NEVER ODD OR EVEN B Section B.. never; A negative decimal is to the left of 0 on a number line and a positive decimal is to the right of 0 on a number line Decimals on the Number Line (pages A and A)..; An positive number is greater than an negative number.. 0.; 0. is to the right of. on a number line...; An positive number is greater than an negative number.. 0.0; 0.0 is to the right of 0. on a number line.. no. no. no. no. The compared the absolute values of the two numbers instead of using a number line is greater than. because it is to the right of. on the number line.. ; An positive number is greater than an negative number ; 0. is to the right of on a number line.. Sirius. If a guitar string is tuned to its correct pitch, how far is it from the correct pitch?... C A

29 Section B. Fractions and Decimals on the Number Line (pages A0 and A). left; You are taking awa that amount.. The sum is negative because the absolute value of the negative number is greater than the absolute value of the positive number = ; feet Yes, the motor needs to run because the temperature is. C, which is greater than. C.. Let 0 represent the goal line and let represent the -ard line. Start at, subtract, subtract, and add. Then find the distance between where ou are on the number line and.. ards were gained on fourth down.. 0.0, 0, %. %,, 0. Section B. The Coordinate Plane (pages A and A).. Sample answer: For (, ), ou move units left and unit up. For (, ), ou move unit right and units down. The point (, ) is in Quadrant II and the point (, ) is in Quadrant IV.. (, ). (, ). (, ). (, ). (, ). W M T R x Y P. Quadrant III. Quadrant IV. Quadrant I. Quadrant I. Quadrant II. Quadrant IV. (, ). 0 in.; 0 in.. Sample answer: (, ), (, ), (, ), (, ). = x +. C. The switched the x- and -coordinate in their directions. To plot (, ), start at (0, 0) and move units right and units up. A

30 Section B. Graphing in the Coordinate Plane (pages A and A). x is the input and is the output.. = x. (, ) (, 0) x (, ) (0, ) (, ) The points lie on a line.. (, ) (0, ) x (, ) (, ) The points lie on a line. (, ). Input, x 0 Output,. Input, x 0 Output, 0. Input, x 0 Output, 0 (, ) (, ) (0, ) (, ) (, ) x (, ) (, 0) x (0, ) (, ) (, ) (, ) x (, 0) (, ) (, ) (0, ). Input, x 0 Output, 0 x (, ) (, ) (, ) (, ) (0, 0). The x-values are not subtracted correctl. x x (x, ) ( ) (, ) ( ) (, ) ( ) (, ) 0 0 (0, ). D. B. = x. = x. The point (0, 0) can be used to write the function because if a car is not moving, then there is no reaction time needed to stop.... D A