6. 4 : 5 is in simplest form because 4 and 5 have no. common factors. 4 : : 5 3. and 7 : : 14 2
|
|
- Clifford White
- 6 years ago
- Views:
Transcription
1 9. Let the number of balloons be. Total cost of balloons: $(.0) Cost of banner: $ Total ependiture of committee: $(.0 ) The most the committee can spend is $: The can bu at most balloons. 0. Let the number of uniforms be. Cost of deliver: $.0 Cost of uniforms: $(9) Total cost to order the uniforms: $(9.0) The most the coach can spend is $7: He can order at most uniforms. Chapter Quic Chec. Number of speaers : Number of sets of earbuds 0 : 0 : : 9. Number of headphones : Number of speaers 0 : : 0 0 :. 9 : 9 : : 9 : and : are equivalent ratios.. : : : : and are not equivalent ratios.. : : 9 : : and 9 : are equivalent ratios.. : is in simplest form because and have no 7. common factors. : : : 0 : : : : 0 and : are two ratios equivalent to :. is not in simplest form because and have a common factor of and 0 are two ratios equivalent to to is not in simplest form because 7 and have a common factor of 7. 7 : 7 7 : 7 : 7 : 7 : : : and : are two ratios equivalent to 7 :. 9. Average speed Total distance traveled Total time, m 9h. m/h 0. Store A: $.0 for oz of walnuts. Unit price of walnuts at Store A: $ 0. $0.0/oz Store B: $.0 for 0 oz of walnuts. Unit price of walnuts at Store B: $ 0. $0./oz 0 $0.0/oz $0./oz; The walnuts cost less at Store A.. Store C: $. for lb of potatoes. Unit price of potatoes at Store C: $. $0.7/lb Store D: $. for lb of potatoes. Unit price of potatoes at Store D: $. $0.7/lb $0.7/lb $0.7/lb; The potatoes cost less at Store D. 7 Solutions Ke Course
2 . P(, ), Q(, ), R(, ), S(, ), T(, ). beads (%).? beads (00%) From the bar model, % % 00% 00 0 There are 0 beads altogether. $7 (00%)? (0%) From the bar model, 00% 7 % % She paid a total of $7.0. Lesson. Hands-On Activit (Identif Direct Proportion in an Eperiment) Step Answers var. Step Answers var. Step Answers var. Math Journal: H increases as L increases. The value of H L remains constant for all pairs of values of H and L. So, H is directl proportional to L. Guided Practice. For each pair of values, and : mi h mi h mi h 00 0 So, the distance traveled b the school bus is directl proportional to the number of hours it has traveled. The constant of proportionalit is 0 and represents the speed of the bus. The direct proportion equation is 0.. For each pair of values, and : pitches inning 0 pitches inning 0 pitches inning So, the number of pitches made is not directl proportional to the number of innings of a baseball game Because the original equation 0. can be rewritten as an equivalent equation in the form, it represents a direct proportion. The constant of proportionalit is... Because the original equation cannot be rewritten as an equivalent equation in the form, it does not represent a direct proportion.. Constant of proportionalit: baseballs da The constant of proportionalit is and represents the dail production rate of baseballs. The direct proportion equation is.. Answers var. Sample: Let be the number of sandwiches. Let be the amount Jason pas. Cost per sandwich: $ per sandwich The direct proportion equation is. 7. Constant of proportionalit: q p The constant of proportionalit is. The direct proportion equation is q p.. Constant of proportionalit: w h The constant of proportionalit is. The direct proportional equation is w h. Solutions Ke Course 77
3 Practice.. For each pair of values, and : 0 So, is directl proportional to. The constant of proportionalit is. The direct proportion equation is.. For each pair of values, and : So, is not directl proportional to.. For each pair of values, and : So, is not directl proportional to.. For each pair of values, and : So, is directl proportional to. The constant of proportionalit is. The direct proportion equation is.. Because the original equation can be rewritten as an equivalent equation in the form, it represents a direct proportion. The constant of proportionalit is.. ( ) ( ) Because the original equation cannot be rewritten as an equivalent equation in the form, it does not represent a direct proportion. 7. p 0.q Because the original equation is written in the form, it represents a direct proportion. The constant of proportionalit is 0....a b 0.a 0 (b ) a 0b 0 a 0b 0 ( ) Because the original equation.a b cannot be rewritten as an equivalent equation in 7 Solutions Ke Course the form, it does not represent a direct proportion. 9. For each pair of values, n and d: 0 mi 0 gal 0 mi 0 gal 0 mi 0 gal So, d is directl proportional to n. The constant of proportionalit is 0 and represents the distance traveled, in miles per gallon of gasoline. The direct proportion equation is d 0n. 0. For each pair of values, and : games point games points 0 games points So, is not directl proportional to.. For each pair of values, and : 0 balls 0 machine 0 balls 0 machines 00 balls 0 machines So, is directl proportional to. The constant of proportionalit is 0 and represents the number of tennis balls produced per machine. The direct proportion equation is 0.. Math Journal: You can tell whether two quantities are in direct proportion b checing whether the two quantities increase or decrease b the same factor. In other words, ou can chec if is a constant value.. Math Journal: P c P c c c P c Yes. Because P c direct proportion.. Constant of proportionalit: d t is a constant value, P and c are in 0 0 The constant of proportionalit is 0. The direct proportion equation is d 0t.. Constant of proportionalit: w t The constant of proportionalit is. The direct proportion equation is w t.
4 . Constant of proportionalit: 0 The direct proportion equation is. 7. Constant of proportionalit: The direct proportion equation is.. Answers var. Sample: Let t be the time Karl taes to hie. Let d be the distance he hies. Distance hied per minute: d mi mi mi/min t min min The constant of proportionalit is. The direct proportion equation is d t. 9. Answers var. Sample: Let n be the number of songs Paul downloads. Let P be the amount he pas. $ P $ 0 Cost per song: n songs songs The constant of proportionalit is. The direct proportion equation is P n. 0. Math Journal: Sample: The cost per da of placing an advertisement for the first das is the same in both tables: $0 per da. The are different because, for the Dail Post, C is a constant value for all pairs of values. But t for the Evening Star, C is not a constant value. t So, the total cost of an advertisement is directl proportional to the number of das for the Dail Post but not for the Evening Star. Lesson. Guided Practice. The graph is a straight line through the origin, and does not lie along the - or -ais. So, it represents a direct proportion. Because the graph passes through (, 0), the constant of proportionalit is 0. The direct proportion equation is 0.. Although the graph is a straight line that does not lie along the - or -ais, it does not pass through the origin. So, the graph does not represent a direct proportion.. Although the graph passes through the origin and does not lie along the - or -ais, it is not a straight line. So, it does not represent a direct proportion.. a) Constant of proportionalit: 0 mi 0 h The constant of proportionalit is 0. So, Ms. Gra s driving speed is 0 miles per hour. b) The direct proportion equation is 0t. c) It means that Ms. Gra travels 0 miles in 7 hours. d) From graph, the distance traveled is 0 miles. e) From graph, it taes her hours to travel Practice. 00 miles.. Although the graph is a straight line and does not lie along the - or -ais, it does not pass through the origin. So, it does not represent a direct proportion.. The graph is a straight line through the origin, and it does not lie along the - or -ais. So, it represents a direct proportion. Because the graph passes through (, 00), the constant of proportionalit is 00. The direct proportion equation is 00.. Although the graph is a straight line that does not lie along the - or -ais, it does not pass through the origin. So, it does not represent a direct proportion.. The graph is a straight line through the origin, and it does not lie along the - or -ais. So, it represents a direct proportion. Because the graph passes through (, 00), the constant of proportionalit is 00. The direct proportion equation is 00.. a) Constant of proportionalit: 0 0 The constant of proportionalit is 0 and represents the cost of staing at a motel per night. b) wee 7 das From the graph, it costs $0 to sta at a motel for a wee.. Math Journal: First ou observe whether it is a straight line. Then ou chec whether it passes through the origin. Finall, ou mae sure that it does not lie along the - or -ais. 7. a) Yes, the amount of pesos is directl proportional to the amount of U.S. dollars because the graph is a straight line through the origin and does not lie along the - or -ais. Solutions Ke Course 79
5 . b) From the graph, ou get pesos for U.S. dollars. c) From the graph, ou get U.S. dollars for pesos. d) The echange rate is U.S. dollar for pesos. e) Constant of proportionalit: The direct proportion equation is. Number of Ceramic Pots Ceramic Pots Production Number of Das a) The graph is a straight line through the origin, and it does not lie along the - or -ais. So, it represents a direct proportion. Constant of proportionalit: The constant of proportionalit is and represents dail production rate of ceramic pots. b) The direct proportion equation is. It means Beth maes 0 ceramic pots in das. c) From the graph, Beth can mae pots in das. d) From the graph, Beth will tae at least das Lesson. to mae 0 pots. Guided Practice. Method Let be the number of hours it taes to mae 0 cars. 0 cars 0 cars hours hours , It taes 7. hours to mae 0 cars. 0 Solutions Ke Course Method Let be the number of hours. Let be the number of cars. Constant of proportionalit: 0 Direct proportion equation: When 0 and, It taes 7. hours to produce 0 cars.. P is the number of pears at the orchard. C is the number of boes used. a) Number of pears per bo: The direct proportion equation is P 0C. b) When C and P 0C, P 0 P 0 0 pears are paced into crates. When P 00 and P 0C, 00 0C 00 0 C 0 0 C There are 00 pears paced in crates. Number of Crates (C) 00 Number of Pears (P) Let be the percent increase. Method 00 percent percent $ $ Method Ratio of percents Ratio of handbag prices percent : 00 percent $ : $ The percent increase in the price of the handbags was %.
6 Practice.. a) Constant of proportionalit: m n 7 The equation that relates m and n is m n. b) When n and m n, m m c) When m 0 and m n, 0 n. a) Constant of proportionalit: p q 0 n n 0 The equation that relates p and q is p q. b) When p 0 and p q, 0 q q 0 q 0 c) When q 7 and p q, p 7 p 7 or. Constant of proportionalit: b a The equation is b a. When b and b a, a a a When a 9 and b a, b 9 7 a 9 b 7. Constant of proportionalit: a b The equation is a b. When b and a 0 b, a a 0 When a and a b, b b 0 b 0 b 0 b a 0 b 0 0. Let w be the weight of a person. Let a be the amount of blood in the bod. a) Constant of proportionalit: a w The constant of proportionalit is. w b) The equation is a. w c) When a and a, w w 0 w The weight of the person is 0 pounds.. a) Constant of proportionalit: H n 0 The constant of proportionalit is. b) The equation is H n. c) When n and H n, H. The height of a stac of boos is. inches. 7. a) Weight per soccer ball: oz. oz The weight per soccer ball is. ounces. b) The equation is m.n. c) When n 0 and m.n, m. 0 m. a) Cost per CD case: C n $. $ 09. The cost per CD case is $0.9. b) The equation is C 0.9n. c) When n 7 and C 0.9n, C C Let C be the cost of two dozen oranges. dollars dollars C C C C C C 9. The cost of two dozen oranges is $ Let C be the cost of renting a car for wee. 0 dollars dollars C 7 0 C C C,0 C, 0 C 0 The cost of renting a car for wee is $0. Solutions Ke Course
7 . Let n be the amount of gas he used. gallons gallons n 7 n 7 n 7 n n n. He will use. gallons of gas if he drives 7 miles.. Let be the glasses of juice needed. glasses glasses people people The caterer should have glasses of juice read.. Let be the amount of ground beef needed. 0 ounces ounces people people ounces of ground beef should be used.. Let be the amount of ta he paid. Ratio of taes Ratio of salar : 0,0 : 00, , , , , 0 He paid $,0 in taes.. Let be the amount of sales ta. Ratio of dollar amounts Ratio of percents : 0. : , 00, She must pa $. sales ta.. Let be number of cans of blue paint needed. New ratio of ellow paint to blue paint Original ratio of ellow paint to blue paint : :. He needs. cans of blue paint. 7. Let be the amount of time needed. New ratio of area to time needed Original ratio of area to time needed 7. :. : He needs hours to paint the wall.. a) Let be the number of hours needed. hours hours model boats 0 model boats It will tae her hours to paint 0 model boats. b) Let be the number of model boats. hours 0 hours model boats model boats She can paint model boats in 0 hours. Solutions Ke Course
8 9. Let be the sales for that month. Ratio of commissions Ratio of percents. :. : ,..,.,.., His sales for that month were $,. 0. a) Constant of proportionalit: The direct proportion equation is I 0. 0P. b) When P,000 and I 0. 0P, I 0. 0P 0. 0, 000. Math Journal: When I and I 0. 0P, 0.0P P 00,000,0 I 0. 0P P,0 The value of will triple as well because and are in direct proportion.. Math Journal: To find out which store has the best deal, compare the unit price. Since lb oz, Store A: Unit price $.0/lb 0. $0./oz Store B: Unit price $./ oz. $0./oz Store C: Unit price $.0/ oz 0. $0./oz Since the unit price at Store A is the lowest, Store A has the best deal. Lesson. Hands-On Activit (Recognize Inverse Proportion) Step and Step v h v h Math Journal: The value of v h gives the area of the rectangle and it is a constant. As the value of v increases, the value of h decreases. Guided Practice. For each pair of values, and : The value of increases as the value of decreases, and the product of and is a constant value. So, is inversel proportional to. The constant of proportionalit is 0.. For each pair of values, and : The value of increases as the value of decreases but the product of and is not a constant value. So, is not inversel proportional to The original equation can be rewritten as two equivalent equations in the form and. So, the equation represents an inverse proportion. The constant of proportionalit is 0.. The original equation cannot be rewritten as two equivalent equations in the form and. So, the equation does not represent an inverse proportion.. a) Answers var. Sample: Use the point (, 0) from the graph to find the constant of proportionalit: 0 0 The constant of proportionalit is 0. The inverse proportion equation is 0. b) It means that volunteers can clean the beach in 0 hours.. a) Constant of proportionalit: The constant of proportionalit is. Solutions Ke Course
9 b) Inverse proportion equation: or The inverse proportion equation is or. c) When 0 and, The value of is Let be the number of trucs. Let be the number of hours.. Constant of proportionalit: 0 Inverse proportion equation: 0 When 0 and 0, trucs are needed to paint the highwa in 0 hours. Practice.. For each pair of values, and : The value of decreases as the value of increases, and the product of and is a constant value. So, and are in inverse proportion. The constant of proportionalit is 0.. For each pair of values, and : = The value of decreases as the value of increases but the product of and is not a constant value. So, and are not in inverse proportion.. For each pair of values, and : The value of increases as the value of increases and the product of and is not a constant value. So, and are not in inverse proportion.. For each pair of values, and : The value of decreases as the value of increases, and the product of and is a constant value. So, and are in inverse proportion. The constant of proportionalit is The original equation can be rewritten as two equivalent equations in the form or. So, the equation represents an inverse proportion. The constant of proportionalit is The original equation cannot be rewritten as two equivalent equations in the form or. So, the equation does not represent an inverse proportion The original equation cannot be rewritten as two equivalent equations in the form or. So, the equation does not represent an inverse proportion The original equation can be rewritten as two equivalent equations in the form or. So, the equation represents an inverse proportion. The constant of proportionalit is 0. Solutions Ke Course
10 9. Use (, 0.) to find the constant of proportionalit: 0. The constant of proportionalit is. 0. Use (, ) to find the constant of proportionalit: 0 The constant of proportionalit is 0.. Use (0., ) to find the constant of proportionalit: 0. The constant of proportionalit is.. Use (, 0) to find the constant of proportionalit: 0 The constant of proportionalit is.. Math Journal: Two quantities are in inverse proportion when one quantit decreases and the other increases in such a wa that the product of the two quantities remains constant. So, ou can tell whether two quantities are in inverse proportion b checing whether the product of the two quantities remains constant.. a) Use the point (, ) from the graph to find the constant of proportionalit: n b The constant of proportionalit is. The inverse proportion equation is nb or b. n b) Total number of batches of bagel dough produced in one hour. c) It means that worers need to each mi batches of dough in one hour to meet the needs of customers.. a) Use the point (, ) from the graph to find the constant of proportionalit: w l The constant of proportionalit is. The inverse proportion equation is wl or l. w b) Area of a rectangle. c) It means that the rectangle with a fied area of square units has a length of units when the width is units.. a) Constant of proportionalit: 0 The constant of proportionalit is 0. b) Inverse proportion equation: 0 or 0 The inverse proportion equation is 0 or 0. c) When and 0, a) Constant of proportionalit: The constant of proportionalit is. b) Inverse proportion equation: or The inverse proportion equation is or. c) When and,. Math Journal: As is inversel proportional to, when the value of decreases, the value of increases proportionall. When the value of is halved, the value of is doubled. 9. Let n be the number of gardeners. Let t be the time in hours. Constant of proportionalit: n t Inverse proportion equation: nt When n and nt, t t It will tae gardener hours to mow 9 lawns. 0. Let s be the download speed. Let t be the time in seconds. Constant of proportionalit: s t 70,0 Inverse proportion equation: st,0 When s and st,0, t,0 Solutions Ke Course
11 t, 0 t, 0 t 0 s min It will tae minutes to download the same file.. Math Journal: Both tables show the amount paid b each person in the house per da; The products of and are the same until each house has people. Because is constant for Guest House A, the amount paid b each person in the house per da is inversel proportional to the number of people in the house. Because is not a constant for Guest House B, the amount paid b each person in the house per da is not inversel proportional to the number of people in the house.. Math Journal: The equation is in the form. So, 0 represents an inverse proportion.. As the equation is in the form m v represents a direct proportion., m v. As the equation is in the form, 00 represents an inverse proportion.. The amount of sales ta depends on the number of shirt purchased. Sales ta amount Shirt price Sales ta: The sales ta amount is directl proportional to the number of shirts purchased. Brain@Wor. Let be the cost of the boo bought in German (in Euro) plus VAT , , Let be the cost of the boo when converted to U.S. dollars Let z be the cost of the boo bought in U.S. plus ta. 0 z z.99 0 Solutions Ke Course 00z,.9 00z, z.9 z. Tom should have bought the boo in German, as it was cheaper.. Amount of gasoline he plans to use for the remaining journe 7 gal Distance left to travel mi Let be the number of gallons of gasoline he needs to travel a distance of 00 miles. 0 : 00 : , 000 0, He needs gallons to travel the remaining journe. So, Johnn is able to drive to Town Q before stopping for gasoline. Chapter Review/Test. For each pair of values, and : So, is directl proportional to.. For each pair of values, and : The value of increases as the value of decreases, and the product of and is a constant value. So, is inversel proportional to.. For each pair of values, and : 9. 7 So, is not directl proportional to. For each pair of values, and : The value of increases as the value of decreases but the product of and is not a constant value. So, and are not in inverse proportion.
12 .. 0 So, is directl proportional to. 7.. Although the graph is a straight line that does not lie along the - or -ais, it does not pass through the origin. So, it does not represent a direct proportion. Also, it is not a curve that never crosses the horizontal and vertical aes. So, it does not represent an inverse proportion.. The graph is a straight line through the origin, and does not lie along the - or -ais. So, it represents a direct proportion. 7. The graph is a curve that never crosses the horizontal and vertical aes, so it represents an inverse proportion.. The graph shows two straight lines. So, it does not represent a direct or an inverse proportion. 9. Because the original equation cannot be rewritten as an equivalent equation in 0. the form, it does not represent a direct proportion. The original equation cannot be rewritten as two equivalent equations in the form or. So, it does not represent an inverse proportion. 7 7 Because the original equation 7 can be rewritten as an equivalent equation in the form, it represents a direct proportion... Because the original equation cannot be rewritten as an equivalent equation in the form, it does not represent a direct proportion. The original equation cannot be rewritten as two equivalent equations in the form or. So, it does not represent an inverse proportion. Because the original equation can be rewritten as an equivalent equation in the form, it represents a direct proportion.. Constant of proportionalit: The constant of proportionalit is. The equation is. When and, When and,... Constant of proportionalit:. 0. The constant of proportionalit is 0.. The direct proportion equation is 0.. When and 0., 0.. When and 0., Constant of proportionalit: 0 0 The constant of proportionalit is 0. The direct proportion equation is 0. When and 0, When 0 and 0, Constant of proportionalit:. The constant of proportionalit is. The inverse proportion equation is. When. and, Solutions Ke Course 7
13 When and, Constant of proportionalit: 7 The direct proportion equation is. When and,. Constant of proportionalit: The inverse proportion equation is. When and, 9. a) Constant of proportionalit: The constant of proportionalit is and represents the unit cost per gallon of gasoline. b) The direct proportion equation is. c) When and, From the graph, he bought gallons of gasoline for $. 0. Let be the amount Jud saves. Ratio of savings Ratio of earnings :,0 : 00, , , , In one ear, she will save $970 for college.. Let be the amount of orange juice Harr needs. Ratio of original amounts of orange juice and soda water Ratio of new amounts of orange juice and soda water : :. He needs to use cups of orange juice with cups of soda water. Principal ($) P Interest Earned 7 Interest Earned ($) a) From the graph, the interest earned when the principal is $0 is $7. b) Constant of proportionalit: 0 0 The direct proportion equation is P 0I. When I and P 0I, P 0 I 70 The principal is $70 when the interest earned is $.. a) Constant of proportionalit: n t b) The inverse proportion equation is nt or t. n c) Answers var. Sample: The number of students increases as the amount of time decreases; The number of students decreases as the amount of time increases. d) It means that students tae hours to deliver 00 flers.. Let be the cost of each download. Let be the number of applications. Constant of proportionalit: The inverse proportion equation is. When.0 and, He can afford to download applications that cost onl $.0 each. Solutions Ke Course
14 Cumulative Review Chapters..9p 0.9p.p.p.p p (0.q ) 0.(0.q) (0.)() 0.q 0... ( ) 0 0. (m n) (n m) (m) (n) ()(n) ()(m) m n n m m m n n m n 7. Area of shaded region Area of trapezoid ()[ ( )] ()( ) ( ) The area of the shaded region is ( ) square meters.. Area of shaded region Area of big rectangle Area of small rectangle ( )(0) ()() 0( ) The area of the shaded region is (0 ) square meters. 9. ( 9) 0. 9 m n ( m 7n). 0 ()(z ) ()()( z ) ( p) (p q) ( z ) ( p) ( p) ( q) p p q p p q 0 p q. When, 7 7 The equations are not equivalent The equations are equivalent p p 7. p p p p p p 9 p p 7 p 7 p p 9 ( ) 9 ( ) ( ) Solutions Ke Course 9
15 . 7( ) 7 7() 7() ( ) 0.( ).().() 0.() 0.() ( r) ( r) ( 7r) () (r) () (r) () (7r) 90 Solutions Ke Course r r r 0 0r r 0 0r r 0r r 0r 0r r 0r r r r. For each pair of values, and :. 0.. So, is directl proportional to. The constant of proportionalit is.. For each pair of values, and : So, is inversel directl proportional to. The constant of proportionalit is For each pair of values, and : So, is not directl proportional to So, and are not in inverse proportion.. Because the original equation.. 7. cannot be rewritten as an equivalent equation in the form, it does not represent a direct proportion. The original equation cannot be rewritten as two equivalent equations in the form or. So, it does not represent an inverse proportion. Because the original equation can be rewritten as an equivalent equation in the form, it represents a direct proportion. The constant of proportionalit is..
16 Because the original equation can be rewritten as an equivalent equation in the form, it represents an inverse proportion. The constant of proportionalit is. 9. The graph represents a direct proportion. The constant of proportionalit is. 0. The graph represents neither.. The graph represents an inverse proportion.... The constant of proportionalit is Constant of proportionalit: 0. 0 The constant of proportionalit is 0.. The direct proportion equation is 0.. When 0 and 0., 0. 0 When and 0., Constant of proportionalit: The constant of proportionalit is 9. The direct proportion equation is 9. When and 9, 9 9 When 90 and 9, Constant of proportionalit: 0 00 The constant of proportionalit is 00. The direct proportion equation is 00. When 0 and 00, When 0 and 00, Constant of proportionalit:. 9 The constant of proportionalit is 9. The direct proportion equation is 9. When and 9, 9 9 When and 9, 9. m 9.. m(0.). m 0. m m 7. P Q m m P Q P P 0. Capacit in Cups (v cups) (0.) 9. Capacit Conversion 0 0 Capacit in Quarts ( Quarts) 9 9 a) Yes; The constant of proportionalit is. b) 0 cups of stoc are needed. c) quarts of water is equivalent to cups of water. 9. a) Time taen to print a color page.. s Total time taen. w (.w ) Solutions Ke Course 9
17 . w.() (.w) () w..w 0 (.w.) s It taes (.w.) seconds to print all the pages. b) If w 0, total time taen.(0). 0. s It taes 0. seconds to print all the pages. 0. a) Let be the number of hours Jason trains a month. 0 0 Gm B would be a better deal than Gm A after hours of training. b) For hours of training per month, Cost of Gm A: $ $() $ Cost of Gm B: $0 Because Gm B costs less, Jason should choose Gm B if he plans to train for at least hours of training per month.. a) C ms 9 m(,00) 9 m, m C S %. % b) 97 S S 00 $,00 S 00 $,00 sales is made if his commission is $97.. a) Cn b) C $. Each person will have to pa $... a) ; It represents the distance traveled b Tim. b) ; c) When Tim ccles at a speed of miles per hour, he will tae hour to ccle to his destination. 9 Solutions Ke Course. a) d) Tim taes hours to reach his destination if he travels at a speed of miles per hour. A B A ( ) A ( ) ( ) A A A A A ( )L b) ( ) 7.. a) Area of epanded rectangle r 00 r () () 00 9r r b) 9 0.9r 0 Chapter Quic Chec 9 0.9r r 09. r This is a right angle because its measure is eactl 90.. This is an acute angle because its measure is less than 90.. This is an obtuse angle because its measure is greater than 90 but less than 0.. This is a straight angle because its measure is eactl 0.
Chapter 4. Chapter 4 Opener. Section 4.1. Big Ideas Math Blue Worked-Out Solutions. x 2. Try It Yourself (p. 147) x 0 1. y ( ) x 2
Chapter Chapter Opener Tr It Yourself (p. 7). As the input decreases b, the output increases b.. Input As the input increases b, the output increases b.. As the input decreases b, the output decreases
More informationFair Game Review. Chapter of a mile the next day. How. far will you jog over the next two days? How many servings does the
Name Date Chapter Evaluate the epression.. Fair Game Review 5 +. 3 3 7 3 8 4 3. 4 4. + 5 0 5 6 5. 3 6. 4 6 5 4 6 3 7. 5 8. 3 9 8 4 3 5 9. You plan to jog 3 4 of a mile tomorrow and 7 8 of a mile the net
More informationBRAIN WORKS Direct Proportion
BRAIN WORKS 16. California, the third largest state in the United States, has an east-west dimension of 480 km. (a) A map of California, drawn with a scale of 1 : 1,500,000, fits eactl from north to south
More informationChapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson
. Enrichment and Etension. a =, b =. a =, b =. a =, b =. a =, b =. a =, b is an number ecept.. a =, b =. a =, b =. a =, b =. Check students work.. Puzzle PAY HIM Etension. Start Thinking! For use before
More informationb(n) = 4n, where n represents the number of students in the class. What is the independent
Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for $ each C The cost,, after a $ discount,
More informationTHIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER
THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER ALGEBRA EOC PRACTICE Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing
More informationAlgebra 1 Honors First Semester Review
Permitted resources: Algebra 1 Honors First Semester Review TI-108 (or similar basic four function calculator) Algebra 1 and Geometr EOC Reference Sheet 4. Identif the mapping diagram that represents the
More informationStudent Exploration: Direct and Inverse Variation
Name: Date: Class Period: Student Eploration: Direct and Inverse Variation Vocabular: constant of proportionalit, direct variation, inverse variation Overview:. Michelle makes $0 an hour babsitting. A.
More informationChapter 6 BUILD YOUR VOCABULARY
C H A P T E R 6 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 6. As you complete the study notes for the chapter, you will see Build Your Vocabulary
More information5.1. Puzzle Time. What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the box containing the exercise number.
. Puzzle Time What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the bo containing the eercise number. Find the product.. tbsp 0 cal. tbsp lb $.9 lb P. cal Q. 80 cal
More informationLesson Remember. Finding Domain and Range from a Graph EXAMPLE. Key Vocabulary
0. Lesson Ke Vocabular function domain range function form Functions A function is a relationship that pairs each input with eactl one output. The domain is the set of all possible input values. The range
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)
More informationAlgebra I. Administered May 2014 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationName Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationLecture Guide. Math 90 - Intermediate Algebra. Stephen Toner. Intermediate Algebra, 2nd edition. Miller, O'Neill, & Hyde. Victor Valley College
Lecture Guide Math 90 - Intermediate Algebra to accompan Intermediate Algebra, 2nd edition Miller, O'Neill, & Hde Prepared b Stephen Toner Victor Valle College Last updated: 11/24/10 0 1.1 Sets of Numbers
More informationDMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs
DMA 0 Worksheet #1 Introduction to Graphs: Analzing, Interpreting, and Creating Graphs A graph will be given followed b a set of questions to answer. Show our work. The bar graph below shows the number
More informationUnit 2: Linear Equations and Inequalities
Mr. Thurlwell's Assignment Sheet Algebra 1 Unit 2: Linear Equations and Inequalities Name: Assignment #1 (3.3) pg 177 4-22e Assignment #2 (4.3) pg 235 2-10e, 24,30,47,50 Assignment #3 (4.1) pg 219 2-14e,15,59
More information1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula.
. Georgia Performance Standard(s) MMPd, MMPa Your Notes Use a Problem Solving Plan Goal p Use a problem solving plan to solve problems. VOCABULARY Formula A PROBLEM SOLVING PLAN Step Read the problem carefull.
More informationSkills Practice. I. Identifying Independent and Dependent Quantities
Skills Practice I. Identifing Independent and Dependent Quantities A. Determine the independent and dependent quantities in each scenario. Be sure to include the appropriate units of measure for each quantit.
More informationLesson 8: Representing Proportional Relationships with Equations
Lesson 8: Representing Proportional Relationships with Equations Student Outcomes Students use the constant of proportionality to represent proportional relationships by equations in real world contexts
More informationLinear Equations Revisited Four Important Formulas: Math 8. Slope: Slope-Intercept Form: y mx b. Standard:
Linear Equations Revisited Four Important Formulas: Slope: m x x Slope-Intercept Form: mx b Standard: Ax B C Point-Slope: m x ) ( x You should be able to convert equations easil. Example: Convert to slope-intercept
More information1Write and graph. 2Solve problems. Now. Then. Why? New Vocabulary
Direct Variation Then You found rates of change of linear functions. (Lesson -) Now Write and graph direct variation equations. Solve problems involving direct variation. Wh? Bianca is saving her mone
More informationHow can you construct and interpret a scatter plot? ACTIVITY: Constructing a Scatter Plot
9. Scatter Plots How can ou construct and interpret a scatter plot? ACTIVITY: Constructing a Scatter Plot Work with a partner. The weights (in ounces) and circumferences C (in inches) of several sports
More informationA calculator may be used on the exam.
The Algebra Semester A eamination has the following tpes of questions: Selected Response Student Produced Response (Grid-in) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short Answer
More informationWhat You ll Learn Identify direct variation. Use direct variation to solve problems.
AM_S_C_L_3.indd Page // 3: PM s-user /Volumes//GO/CORE_READING/TENNESSEE/ANCILLARY... Proportionalit and Linear Relationships Teach the Concept Lesson - Direct Variation Interactive Stud Guide See pages
More informationLesson 1. Unit 6 Practice Problems. Problem 1. Solution
Unit 6 Practice Problems Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson
More information2.1 Intercepts; Symmetry; Graphing Key Equations
Ch. Graphs.1 Intercepts; Smmetr; Graphing Ke Equations 1 Find Intercepts from an Equation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List the
More informationMATH 081. Diagnostic Review Materials PART 2. Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED.
MATH 08 Diagnostic Review Materials PART Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED DO NOT WRITE IN THIS MATERIAL Revised Winter 0 PRACTICE TEST: Complete as
More informationTopic 1: Writing and Solving Equations and Inequalities
Topic 1: Writing and Solving Equations and Inequalities In #1 3, solve each equation. Use inverse operations. 1. 8 21 5 = 15 2. 3 10 = 2(4 5) 3. 2( + 2) = 2 + 1 4. The rectangle and square have equivalent
More informationSkills Practice Skills Practice for Lesson 5.1
Skills Practice Skills Practice for Lesson. Name Date Widgets, Dumbbells, and Dumpsters Multiple Representations of Linear Functions Vocabular Write the term that best completes each statement.. A(n) is
More informationName Date Class. 5 y x + 7
Name Date Class 7.EE.1 SELECTED RESPONSE Select the correct answer. 1. What property allows the expression.7x + 10. + 15.3x 8.x + 15.6 to be simplified to the equivalent expression 0x + 10. 8.x + 15.6?
More informationACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED: Representing Linear Non-Proportional Equations Slope & -Intercept Graphing Using Slope & -Intercept Proportional
More information+ 100 = What is the value of in the expression below? A B C D
1. What is the value of in the expression below? C 2. Max bought a 100-page journal and writes 1 page per day. Pat bought a 200-page journal and writes 3 pages per day. The equation below can be solved
More informationTAKS Mathematics. Test A GO ON. 1. Which of the following functions is not linear? A. f(x) 3x 4 B. f(x) 3 x 4 C. f(x) 3 4
TAKS Mathematics Test A. Which of the following functions is not linear? A. f() B. f() C. f() D. f(). Mia bought nuts and popcorn for a group of friends at the movie theater. A bag of nuts cost $. and
More informationREVIEW PACKET FOR END OF COURSE EXAM
Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate
More informationSample. Test Booklet. Subject: MA, Grade: HS PSSA 2013 Keystone Algebra 1. - signup at to remove - Student name:
Test Booklet Subject: MA, Grade: HS PSSA 2013 Keystone Algebra 1 Student name: Author: Pennsylvania District: Pennsylvania Released Tests Printed: Friday May 31, 2013 1 Which of the following inequalities
More informationAlgebra I. Administered May 2014 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationAlgebra I Notes Direct Variation Unit 04e
OBJECTIVES: F.IF.B.4 Interpret functions that arise in applications in terms of the contet. For a function that models a relationship between two quantities, interpret ke features of graphs and tables
More informationSkills Practice Skills Practice for Lesson 1.1
Skills Practice Skills Practice for Lesson. Name Date Human Growth Multiple Representations of Relations and Functions Vocabular Discuss the similarities and differences between each set of terms.. relation
More informationTest Booklet. Subject: MA, Grade: 08 TAKS Grade 8 Math Student name:
Test Booklet Subject: MA, Grade: 08 TAKS Grade 8 Math 2009 Student name: Author: Texas District: Texas Released Tests Printed: Friday July 20, 2012 1 The graph below shows the results of a survey about
More informationMATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)
MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (-, -) and (-, 6) A) 0 C) - D) ) Sketch the line with
More informationAlgebra I. Administered May 2013 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationINTERIM assessment. Grade 7. Math. Administered December 2010 STUDENT NAME DATE ID. San Antonio Independent School District
STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD INTERIM assessment Grade 7 Math Administered December 00 San Antonio Independent School District This assessment reflects TEKS taught in the first semester
More informationPA CORE 8 UNIT 3 - FUNCTIONS FLEX Workbook
PA CORE 8 UNIT - FUNCTIONS FLEX Workbook LESSON 9. INTRODUCTIONS TO FUNCTIONS 0. WORK WITH LINEAR FUNCTIONS. USE FUNCTIONS TO SOLVE PROBLEMS. USE GRAPHS TO DESCRIBE RELATIONSHIPS. COMPARE RELATIONSHIPS
More information8th Grade Pre-Algebra
8th Grade Pre-Algebra Multiple Choice Identif the choice that best completes the statement or answers the question.. Kell is learning about rational and irrational numbers. What conclusion can she draw
More informationUnit 4 Linear Relationships
Unit 4 Linear Relationships Standards: 8.EE.5 8.EE.6 8.EE.7 8.F.1 8.F.2 8.F.3 8.F.4 8.F.5 Domain and Standards Overview Expressions and Equations Understand the connections between proportional relationships,
More informationA calculator may be used on the exam.
The Algebra Semester A eamination will have the following tpes of questions: Selected Response Student Produced Response (Grid-in) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short
More informationMath 074 Final Exam Review. REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions 1-14)
Math 074 Final Exam Review REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions -4) I. Can you add, subtract, multiply and divide fractions and mixed numbers?. Perform the indicated operations. Be sure
More informationSummary and Vocabulary
Chapter Chapter Summar and Vocabular Equations involving percents ma be written in the form p q = r, where p is the decimal form of the percent, q is the initial quantit, and r is the resulting quantit.
More informationGRADE 8. Mathematics. Administered March 2017 RELEASED
STAAR State of Teas Assessments of Academic Readiness GRADE 8 Administered March 2017 RELEASED Copright 2017, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is
More informationPractice Algebra 1 SCP Midterm 2015
Practice Algebra 1 SCP Midterm 01 Multiple Choice Identif the choice that best completes the statement or answers the question. Solve the equation. 1. = m 0 7 7 7 7. 0 7 60. x 6 = 7 8 19 1 1 19 1..1x +.
More informationFair Game Review. Chapter 5. Input, x Output, y. 1. Input, x Output, y. Describe the pattern of inputs x and outputs y.
Name Date Chapter Fair Game Review Describe the pattern of inputs and outputs.. Input, utput,. 8 Input, utput,. Input, 9. utput, 8 Input, utput, 9. The table shows the number of customers in hours. Describe
More informationMidterm Practice: The Number System
Midterm Practice: The Number System. The locations of the values for p and r are shown on the number line. Determine the location on the number line that best represents the sum of p + r. Select a place
More informationCCR Math - Grade 7 Practice Test
R Math - Grade 7 Practice Test You may use a calculator for questions -7.. Use the picture below to answer the question. A B What is the probability of spinning a? A. B.. D. 5 3 5 3 5 A 3 Go on to the
More informationAnalytic Geometry 300 UNIT 9 ANALYTIC GEOMETRY. An air traffi c controller uses algebra and geometry to help airplanes get from one point to another.
UNIT 9 Analtic Geometr An air traffi c controller uses algebra and geometr to help airplanes get from one point to another. 00 UNIT 9 ANALYTIC GEOMETRY Copright 00, K Inc. All rights reserved. This material
More information3.1 NOTES Solving Systems of Linear Equations Graphically
3.1 NOTES Solving Systems of Linear Equations Graphically A system of two linear equations in two variables x and y consist of two equations of the following form: Ax + By = C Equation 1 Dx + Ey = F Equation
More informationRatios & Proportions Chapter Questions. 6. What are two ways to determine if the relationship between two quantities is proportional?
Ratios & Proportions Chapter Questions 1. How are ratios simplified? 2. How are equivalent ratios written? 3. How are unit rates determined? 4. What are the two ways proportions are solved? 5. What are
More informationRATIOS & PROPORTIONS
Name: Period: Advanced Unit 4: RATIOS & This is a calculator friendly unit! PROPORTIONS CW-HW Packet Chapter Questions 1. How are ratios simplified? 2. How are equivalent ratios written? 3. How are unit
More informationReady for TAKS? Benchmark Tests Benchmark Pre-Test (7.1)(A)
Benchmark Pre-Test (7.)(A). Which is between and 5? A C 5 B D. Which statement is true? F G H 5. Which list of numbers is in order from greatest to least? A, 7,, B,,, 7 C,, 7, D 6, 5,, 6. Barney used the
More informationUnit 3: Relations and Functions
Unit 3: Relations and Functions 5-1: Binar Relations Binar Relation: - a set ordered pairs (coordinates) that include two variables (elements). (, ) = horizontal = vertical Domain: - all the -values (first
More informationProportional Relationships
Proportional Relationships The graph should be linear. For a directl proportional relationship, the graph will alwas be a straight line through the origin. NAME: CLASS: TEACHER: Ms. Schmidt _ Computing
More informationALGEBRA 1 SEMESTER 1 INSTRUCTIONAL MATERIALS Courses: Algebra 1 S1 (#2201) and Foundations in Algebra 1 S1 (#7769)
Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. Ramal goes to the grocery store and buys pounds of apples and pounds of bananas. Apples cost dollars per
More informationSystems of Equations and Inequalities
Chapter 6 Sstems of Equations and Inequalities Prerequisite Skills for the chapter Sstems of Equations and Inequalities. The least common multiple of 0 and is 0.. Two lines in the same plane are parallel
More information6.5 Comparing Properties of Linear Functions
Name Class Date 6.5 Comparing Properties of Linear Functions Essential Question: How can ou compare linear functions that are represented in different was? Resource Locker Eplore Comparing Properties of
More informationAnswer Keys for Calvert Math
Answer Keys for Calvert Math Lessons CMAKD- Contents Math Textbook... Math Workbook... Math Manual... Answer Keys Math Textbook Lessons Math Textbook Answer Key Lessons Cumulative Test d b a c b d d d
More informationBridge-Thickness Experiment. Student 2
Applications 1. Below are some results from the bridge-thickness eperiment. Bridge-Thickness Eperiment Thickness (laers) Breaking Weight (pennies) 15 5 5 a. Plot the (thickness, breaking weight) data.
More informationIntroduction to Systems of Equations
Systems of Equations 1 Introduction to Systems of Equations Remember, we are finding a point of intersection x 2y 5 2x y 4 1. A golfer scored only 4 s and 5 s in a round of 18 holes. His score was 80.
More informationOregon Focus on Linear Equations Lesson 1 Answers
Lesson 1 Answers 1. a. Nathan; multiplication b. Subtraction 2. 30 3. 28 4. 40 5. 17 6. 29 7. 21 8. 7 9. 4 10. 33 11. 8 12. 1 13. 5 14. 19 15. 12 16. 15 17. a. 130 5 + 40 8 b. $970 18. a. (11 + 8 + 13)
More informationChapter 4 ( 2, 2 ). Chapter 4 Opener. Section 4.1. Big Ideas Math Blue Worked-Out Solutions. Try It Yourself (p. 141) = = = = 15. The solution checks.
Chapter Chapter Opener Tr It Yourself (p. ). ab = ( ) = ( ) = = = =. a b = ( ). a b = = = = + = + = + 9 =, or. a ( b a ). Point Q is on the -ais, units up from the origin. So, the -coordinate is, and the
More informationC) C) 5 D) 13
MATH 03 FINAL EXAM REVIEW Simplif. 1) 8-4 2 72 + 62 16 8 4 13-8 13-8 8 Solve. 2) + 2 = 9 1 2 4 13 3) 4 = a -9-6 -1-36 - 4) -4.0 = b 13 8.0-8.0 7.0-3.00 ) 1 f - = 1-12 12-30 30 6) 2-1 3 = -7-10 7 10 7)
More information13. Convert to a mixed number: Convert to an improper fraction: Are these two fractions equivalent? 7
FINAL REVIEW WORKSHEET BASIC MATH Chapter 1. 1. Give the place value of 7 in 3, 738, 500. 2. Give the word name for 302, 525. 3. Write two million, four hundred thirty thousand as a numeral. 4. Name the
More informationFRACTIONS AND DECIMALS
MATH GRADE 6 UNIT FRACTIONS AND DECIMALS EXERCISES FOR EXERCISES Grade 6 Unit : Fractions and Decimals LESSON : A FRACTION BY A WHOLE NUMBER 6.NS.. C 6.NS.. 0 B D + E 6.NS.. Each person will get cup of
More information60 Minutes 60 Questions
MTHEMTI TET 60 Minutes 60 Questions DIRETIN: olve each problem, choose the correct answer, and then fill in the corresponding oval on our answer document. Do not linger over problems that take too much
More informationRate of Change and Slope. ESSENTIAL QUESTION How do you find a rate of change or a slope?
? LESSN 3.2 Rate of Change and Slope ESSENTIAL QUESTIN How do ou find a rate of change or a slope? Investigating Rates of Change A rate of change is a ratio of the amount of change in the output to the
More informationAnswers. Chapter 4 A15
. =. Sample answer:. a. B is congruent to itself. A and D have the same line of sight, and so the are congruent. Because two angles are congruent, the third angles are congruent. Because the triangles
More informationCoached Instruction Supplement
Practice Coach PLUS Coached Instruction Supplement Mathematics 8 Practice Coach PLUS, Coached Instruction Supplement, Mathematics, Grade 8 679NASP Triumph Learning Triumph Learning, LLC. All rights reserved.
More informationIntermediate Algebra Review for Exam 1 - Spring 2005
Intermediate Algebra Review for Eam - Spring 00 Use mathematical smbols to translate the phrase. ) a) 9 more than half of some number b) 0 less than a number c) 37 percent of some number Evaluate the epression.
More informationLesson 6.1 Recursive Routines
Lesson 6. Recursive Routines. Give the starting value and constant multiplier for each sequence. Then find the fifth term. a. 4800, 200, 300,... b. 2, 44., 92.6,... c. 00, 90, 8,... d. 00, 0, 02.0,...
More informationArkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 2008
Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 008 Select the best answer for each of the following questions and mark it on the answer sheet provided. Be sure to read all the
More informationUnit 3 Review for SchoolNet Test
Unit 3 Review for SchoolNet Test Student Class Date 1. The table below lists pairs of x- and y-coordinates that represent points on the graph of a linear equation. x y 3 10 5 5 7 0?? 11 10 Which coordinates
More informationFor use after the chapter Graphing Linear Equations and Functions 3 D. 7. 4y 2 3x 5 4; (0, 1) x-intercept: 6 y-intercept: 3.
Chapter Test A Write the coordinates of the point.. A. B. D. C. A. D C B.... Tell whether the ordered pair is a solution of the equation.. ; (, ) 7.. ; (, ). 7. ; (, ). Draw the line that has the given
More informationThe semester A examination for Bridge to Algebra 2 consists of two parts. Part 1 is selected response; Part 2 is short answer.
The semester A eamination for Bridge to Algebra 2 consists of two parts. Part 1 is selected response; Part 2 is short answer. Students ma use a calculator. If a calculator is used to find points on a graph,
More information2.1 The Rectangular Coordinate System
. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table
More information1 A computer rounded the number to the nearest hundredth. What is this number rounded to the nearest hundredth?
DIRECTIONS Read each question carefull. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer
More informationc. Find the slope and y-intercept of the graph of the linear equation. Then sketch its graph.
Name Solve. End-of-Course. 7 =. 5 c =. One cell phone plan charges $0 per month plus $0.5 per minute used. A second cell phone plan charges $5 per month plus $0.0 per minute used. Write and solve an equation
More informationName Per. Keystone Exams Practice Test A.) $300,000 B.) $400,000 C.) $500,000 D.) $600,000
Name Per Basic Skills Keystone Exams Practice Test 1.) A theme park charges $52 for a day pass and $110 for a week pass. Last month, 4,432 day passes and 979 week passes were sold. Which of the following
More informationDirections: Solve each problem. Write your answer as a simplified radical!
Directions: Simplify completely! 1) 7 ) 7 10 ) 5 + 6 + 7 4 7 4) 4 11 5) ( ) 6) (6w 8 w ) 7) 0 8 48 75 4 5 8) 7 (10 5 5 ) 9) 4 4 5 8 10) 90m n 11) 1) 5m 8 m 0 0 10 80 r r r 1) 5 18k m 14) 7 km 7km Directions:
More informationMATH 103 Sample Final Exam Review
MATH 0 Sample Final Eam Review This review is a collection of sample questions used b instructors of this course at Missouri State Universit. It contains a sampling of problems representing the material
More informationSemester 1 Final Review. c. 7 d.
Solve the equation in questions 1-4. 1. 7 x + 5 = 8 a. 7 b. 1 7 c. 7 d. 7. 7 = d + 0 a. 10 b. 0 c. 1 d. 1. p 1 = 5(p 1) (7 p) a. b. 0 c. 9 d. 10 4. 5x 5 = x 9 a. b. 1 c. 1 d. 5. A customer went to a garden
More informationMATH 125 MET *** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below) Update Fall 2012
MATH MET *** SAMPLE*** The actual test will have questions (At least 0 will be multiple choice similar to below) Update Fall 0 MULTIPLE CHOICE. Choose the one alternative that best completes the statement
More information1 to 4; 1:4; 1_ 4. 1 to 3; 1:3; 1_ 3. 3 to 8; 3:8; 3_. 8 to 4; 8:4; 8_ 4
Understanding Ratios Reteaching 12-1 A ratio is a pair of numbers that compares two quantities. Count to find the ratio of squares to circles. Reteaching 12-1 4 to 3 The ratio 4 to 3 can also be written
More informationNorth Carolina Community College System Diagnostic and Placement Test Sample Questions
North Carolina Communit College Sstem Diagnostic and Placement Test Sample Questions 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College
More informationGrade 7 Mathematics Practice Test
Grade 7 Mathematics Practice Test Nebraska Department of Education 2014 Directions: On the following pages are multiple-choice questions for the Grade 7 Practice Test, a practice opportunity for the Nebraska
More informationAssessment Readiness. 28 Unit 1 MIXED REVIEW. 1. Look at each number. Is the number between 2π and
MODULE 1 1. Look at each number. Is the number between π and 5? Select or for epressions A C. A. 6 _ 3 5π B. C. 3 5. Consider the number - 11 15. A. The number is rational. True False B. The number can
More informationAlgebra 1, Semester 1 Exam Review
Algebra, Semester Exam Review What is an algebraic expression for the word phrase?. the sum of n and 9 A. n 9 n + 9 D. 9n. the difference of r and A. r + r D. r. the quotient of j and 8 A. 8j j 8 D. j
More informationWinter-Break Packet 7 th grade mathematics
M.S. 181 PABLO CASALS CHRISTOPHER WARNOCK, PRINCIPAL 800 BAYCHESTER AVENUE, BRONX, NY 10475 PHONE: 718-904-5600 Conceive, it, Believe it, Achieve it! Winter-Break Packet 7 th grade mathematics Student:
More information8 th grade practice test. Objective 1.1a
8 th grade practice test Objective 1.1a 1. Stacey earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x the number
More informationAlgebra 1 S1 (#2201) Foundations in Algebra 1 S1 (#7769)
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Algebra 1 S1 (#2201) Foundations
More informationMath 154A Elementary Algebra Fall 2014 Final Exam Study Guide
Math A Elementar Algebra Fall 0 Final Eam Stud Guide The eam is on Tuesda, December 6 th from 6:00pm 8:0pm. You are allowed a scientific calculator and a " b 6" inde card for notes. On our inde card be
More information1. RATIO AND PROPORTION
Variation 55 1. RATIO AND PROPORTION A ratio is a comparison between two quantities. In making this comparison, both quantities must be expressed in terms of the same units. Express the ratio of 1 hour
More information