Chapter 8 BLM Answers

Size: px

Start display at page:

Download "Chapter 8 BLM Answers"

Julia Barker
6 years ago
Views:

Chapter 8 BLM Answers. BLM 8. BLM 8 Chapter 8 Math Link Introduction a) 0; 0;, so g b) 94; h w, s so (4) 94 c) %, or 0.; 0.., 80 so s 0 d) p + b; p +, so p e) 0 b + a; b + 0 0, so b 40 f) p ; ( ) p a + y ; (a + ), so a BLM 8 Chapter 8 Get Ready.

a) x ; Check: b) t ; Check: () + 4 0 c) g ; Check: ( ) BLM 8 Chapter 8 Warm-Up Section 8.. x. x or.x. y 4. x + xy x. x.. 8. 0.4 9. 4.9 cm 0. $4.0 Section 8.. x. 8x + xy. x or 4. m.9. y.. 0, or. or 8.

.x + BLM 8 4 Chapter 8 Problems of the Week. 0 dimes, 0 nickels, and 80 pennies. Let x number of dimes. 0x + 0x + 8x 80, therefore, x 0.. d vt, d v t, d v t, v t + v t 00, 00t + 0t 00, 0t 00.

1 Chapter 8 BLM Answers. BLM 8. BLM 8 Chapter 8 Math Link Introduction a) 0; 0;, so g b) 94; h w, s so (4) 94 c) %, or 0.; 0.., 80 so s 0 d) p + b; p +, so p e) 0 b + a; b + 0 0, so b 40 f) p ; ( ) p a + y ; (a + ), so a BLM 8 Chapter 8 Get Ready. a) b) c). a) x b) x 9. a) x +, so x b) x 4, so x 4. a) r 4 b) s c) p 4 d) x 8. a) ( 4) +, so x 4 is the solution b) (4) 8, so x 4 is not the solution. a) x ; Check: b) t ; Check: () c) g ; Check: ( ) BLM 8 Chapter 8 Warm-Up Section 8.. x. x or.x. y 4. x + xy x. x cm 0. $4.0 Section 8.. x. 8x + xy. x or 4. m.9. y.. 0, or. or $0.00 Section or. Example: 0.0d, so d 0.. x 4.. x 40.. x x + Section 8.4. a) x 4 b) x 8. n 0.4. x 4 4. x. $.0. x. 4 p 8. x x 4 0..x + BLM 8 4 Chapter 8 Problems of the Week. 0 dimes, 0 nickels, and 80 pennies. Let x number of dimes. 0x + 0x + 8x 80, therefore, x 0.. d vt, d v t, d v t, v t + v t 00, 00t + 0t 00, 0t 00. t 00/0 hours, or / of an hour, or 40 min. They will meet 40 min after they leave.. 4, a, 4 + a, 4 + a, 8 + a, + a, (8 + a) + ( + a) 0 + 8a 4 8a. a 4. (x + 49y) + (49x + y) x y x + y (x + 49y) (49x + y) 49 0x + ( 0y) 0 x y x + y ( + y) + y y 4 y x x Therefore, x and y. Copyright McGraw-Hill Ryerson, 009

2 . BLM 8. BLM 8 Section 8. Extra Practice. a) The diagram shows that b) The diagram shows that x. 4 8 c, or c.. a) x 0. b) x 4 0. a) x b) m, or c) x a) x.4 Left Side 4x Right Side 4.9 4(.4) 4.9 b) x.4 x Left Side Right Side c) m Left Side Right Side m d) x.0 Left side.0 Right side.4..4 e) m Left side 0 0 f) m 84 Left side 4 Right side 0 Right side 4 m a) The bracelet cost $490. b) The canteen earned a $0 profit. c) The object has a volume of. L. d) The regular price of the computer was $0. BLM 8 Section 8. Math Link a) division; f. or f 0.4 g b) 0.4 g; 0.4n, n 0 c) I 0.4n; for eight figs, I 0.4(8), I. g d).8 0.4n, so n 4.. BLM 8 8 Section 8. Extra Practice. a) x 8 b) m. c) x 9. a) m 4 ; + ; 4 4 ; 4 b) x ; + ; 9 + ; 4 + ;.0 c) n.0; ; ; d) x.4; ; ; e) c ; 4 + ; ; f) x 8; 9. 0.( 8) +.4; ; a) x + 8. The number is. b) x 4 4. The blouse was $8. c) x +. The two consecutive numbers are 8 and 9. d).0x They invited 9 people to the banquet. e) x +... Effie cycled 9. km and Kirsten cycled 4.4 km. Copyright McGraw-Hill Ryerson, 009

3 . BLM 8. f) x The down payment is $40. BLM 8 9 Section 8. Math Link a) 4r b) 4r 0., so r 0.0 g. c) Example: x x 0. a) x 0 b) m. c) x 0. d) x 8 e) x 4 f) x 4. a) The value of x is 8. cm. b) The value of x is. c) 0 km/h and km/h d) The number is 48. d) Example: The algebraic method because it is quicker. BLM 8-0 Section 8. Extra Practice. a) x Left Side ( ) Right Side 8 8 Left side Right Side b) x 4 Left Side 0.(4 + ) Right Side.4 0.().4 c) x Left Side Right Side BLM 8 Section 8. Math Link a) 0. mg (half of the total in two servings) b) 0. mg. c) c d) c 0. mg e) Examples:.4 (c + 0.); c 0. mg BLM 8 Section 8.4 Extra Practice. a) x 9. Left Side 0.4(9.) Right Side.8 0.(9.) b) x 8 Left Side. +.(8) Right Side.(8) c) x 9 Left Side 9 9 ( 9) Right Side 9 8. a) The error is that the 0.4 was not distributed into the entire bracket. 0.4(x +.) x x 4. x. b) The error is that only one side was multiplied by. x + 4 x x + x 0 d) m 4 Left Side (4) 4 e) x Left Side 0 0 Right Side 4 + Right Side 0 Copyright McGraw-Hill Ryerson, 009

4 . BLM 8. f) m. Left Side.4(.) Right Side.(.) a) x Left Side () Right Side () b) x. Left Side Right Side.(.) + 4..(.) c) n 4. Left Side (4.).4 Right Side (4.) d) n 4 Left Side ( 4 ) Right Side 4 + ( 4) e) x Left Side + 4 Right Side f) m 0 Left Side.(0) Right Side (0) a) m Left Side ( + ) Right Side ( ) ( ) ( ) 0 0 b) x Left Side 0.[() ]. Right Side 0.04( + ) 0.(9). 0.04(0) c) x Left Side 0( ) + Right Side 4( ) d) m Left Side 4() 9 Right Side + 4. a) The dimensions of the garden are 4 m by m. b) There were 9 quarters and dimes in the cash register. c) The employee will need 0 kg of cashews for the mixture. d) Plane A is travelling at 0 km/h, and Plane B is travelling at 00 km/h. BLM 8 Section 8.4 Math Link a).; m.m 0.8 or.m m b) Any three estimates around the amount of 0.8 mg. For example, students might guess mg or mg. Students might look at the number 0.8 and see that it is close to is about times 0, so they might estimate 0. c) Example: m.m 0.8, m m, 0.8.m, 0.8 m. The mass of riboflavin in one small serving of raw almonds is 0.8 mg. d) Example: Isolating the variable because it was much quicker and more accurate. BLM 8 4 Chapter 8 Test. C. D. D a) b) 9 c). d) 9. a) + 0.x 08.0 b) 0 0. a) Alexandra did not apply the distributive property correctly. This step should be 4x 0. b) 9 d. a) 4 b). m c) 0.8 s 0. Copyright McGraw-Hill Ryerson, 009

5 . BLM 8. BLM 8 Chapter 8 Math Link: Wrap It Up! Example: a) One serving of canned salmon contains 0.8 MJ of energy. How many serving would you have to eat to get.00 MJ of energy? Let n number of servings. 0.8n.00 MJ. b) How many MJ of energy do 8 baked potatoes have? One potato has 0.94 MJ of energy. E Let E energy. 8, E. MJ 0.94 c) A baked potato with some cheddar cheese on it provides a total of.08 MJ of energy. How many 4 g servings of cheese is on the potato? Let x one serving of cheese: 0.x , x., or. g of cheese d) Tinka and Jacob ate a bowl of Brazil nuts. Tinka ate. servings of the nuts. The total energy of the nuts in the bowl was 8. MJ. How many servings did Jacob eat? One serving of nuts is.0 MJ. Let j serving Jacob ate..0(j +.) 8., j. servings. e) Sara ate some cheddar cheese, and Anoop ate some mango. They each ate the same number of servings. The cheese provided Sara with 0. MJ more energy than the brazil nuts provided Anoop. How many servings did Sara and Anoop each eat? The energy in one serving of cheddar cheese is 0. MJ. The energy in one serving of mango is 0.48 MJ. Let s the number of servings they each ate. 0.s 0.48s + 0., s servings. Copyright McGraw-Hill Ryerson, 009

Section 8.1 Extra Practice

Section 8.1 Extra Practice Name: Section 8. Extra Practice Date:. BLM 8 6.. Solve each equation. Use a number line. a) c x b) 4 4. Solve each equation. Use models of your choice to represent the solutions. a) x 0.6 b) x. Solve each