Math Year End Review Package Chapter Square Rts and Surface Area KEY. Methd #: cunt the number f squares alng the side ( units) Methd #: take the square rt f the area. (a) 4 = 0.7. = 0.. _Perfect square _4 64 _square rt f _perfect square _ is slightly clser t 4 than 64, s an apprimatin is 7.4 4. = 7.4. (a) Side length =. cm ( area ) Perimeter = 4side = 6 m 6. (a) 7 ft..7 cm 7. (a) 88 cm 4 in (c). m (d).4 m (e) 76.7 cm 8. (a) 87-.=. cm 7 44 = 8 in. (a) 48 ft 84 cm (c) 0 m (d) 8 ft (e) 07. ft (f) 70.8 cm 0. (a) Describe r shw n the diagram where there are verlapping faces. Methd # cunt the number f epsed sides: 4 units Methd # there are 6 cubes that make up the cmpsite bject. Each cube has a surface area f 6 units. There are 6 verlap faces. Surface Area = ttal (verlap) = 6 (6) = 4 units.
. Surface area f large cube = 4.4 4.4 6 = 6.6 cm Surface area f small rectangular prism =.6 + 4.4 +.6 4.4 = 8. cm Area f verlap = 4.4 = 8.8 cm Surface area = 6.6 + 8. (8.8) =.0 cm. Surface area f large rectangular prism = + + = 008 cm Surface area f small rectangular prism = π + π 0 = 0.80 cm Area f verlap = π =.7 cm Surface area = 008 + 0.80 (.7) =.66 cm Chapter Review: Pwers and Epnent Laws. Pwer Base Epnent Repeated Multiplicatin Standard Frm 4 ( ) 4-4 (-) (-) (-) (-) 6. (a) ten = 0 0 0 0 0 000-6 6 ( ) -64 0 0 0 0 0 = 0 4 (c) = -0 0 (d) 0000000 = 0 7. (a) = = (c) 0. =0. 4. Write as a single pwer: (a) (f) (k) (p) 8 8 = = (g) 0 6 (l) 6 8a b 4 (c) (h) 4 a (m) 4 (d) 8 a m (i) (n) 4 4 (e) d 4 8 a b c (j) () 4 0 4 6. (a) 6 = = (c) 8 = 6. (a) 6 (c) (d) 7. (a) 0 = ( ) 8 = 6 (c) ( ) 6 = 7 4 = 64 6 8. (a) = 7 ( ) 4 = 6 (c) = (d) 4 0 = 0, 000. i) 8 ii) 0 iii)
Chapter Ratinal Numbers. - integers - psitive and negative fractins - mied numbers - decimals (terminating r repeating). any number in this range. 0. 0.6. 4. Determine each f the fllwing: (a) 4 (c) (d) 7 (e) 8 0 (f) (g) 6 (h) (i) 6 (j) 0 (k) (l) 4 (m) 7 (n) 7 () 4 (p) (q) 6 4. Evaluate using BEDMAS: (a) + = 4 6 8 7 = = 0 00 00 Chapter 4 Linear Relatins. The crdinate plane has tw number lines that intersect at a pint called the rigin. The hrizntal number line is called the -ais. The vertical number line is called the y-ais. The tw aes divide the crdinate plane int fur parts called quadrants. The lcatin f a pint n the graph is given using an rdered pair. The first number is the -crdinate and the secnd number is the y-crdinate.. (a) A (, -4) I (-, -6) (c) H (, ) (d) C (, 0) (e) E (-, ) (f) N (-6, 4)
. (a) 6 equatin: y = + 7 0 equatin: y = 4 + 4. y = + the 0 th figure will have 6 dts. Cmplete the table then graph and draw a line thrugh them.
6. Graph each linear relatin. Yu can create a table f values if needed. y a) y = 6 b) + = 0 y - - - - c) y = 6 y d) + y = 6 y - - - - 7. (a) y = y =- (c) =7 8. (a) apprimately. 6 hurs apprimately hurs (c) apprimately 70 km Chapter Plynmials Fr the questins with algebra tiles; white = psitive and shaded = negative. (a) trinmial; binmial; (c) binmial; (d) mnmial, 0.. Variable: Degree: 4 Number f terms: 4 descending rder: 4 4 + 4. (a) 4
. Simplify by cllecting like terms. (a) 4y + 7 6y (c) 8y (d) a + b 4 (e) a 7b 7 (f) a b + 6 (g) n n 0 + + (h) 0n 0n + + (i) n + n + 0 6. Perimeter = 6+8 7. (a) 7 0 8. (a) -7 y 8z z + (c) 6m (d) + y (c) b (d) t + t + r r. (a) 6 6 + 4 (c) 6 + y + (d) 0 + 4 (e) = + 6 + = 8 + 6 (f) = + y + 4y + 4 = 7 + 7 y 0. (a). (a) + + 6 s 0s + 4 (c) t + 6t (d) + 6 + (e) 64. (a) + 4 m m + (c) 4 (d) 4m + m Chapter 6 Equatins and Inequalities. n =. c = 4. k = 44 4. m = 4. r = 6. n = 4 7. c = r. 8. = 4. y = 0. n =. n = 4. y =. r = 4. a = 7. p = 6. = 7. c = 8. f =. y = 0. n = r 4.. n = 40. a =
. n = 4. 4. = 8. (a) < 6. (a) y k > (c) < (d) d 6 (e) 4 (f) 6 Chapter 7 Similarity and Transfrmatins. 7 =. (a) 60 87 4cm 7.4cm =, X.m m X cm.cm =, X.7m. m X. (a) = 7. m, y =. m =.8 in. 4. ABCD t EFGH = CD crrespnds t GH side GF crrespnds t BC A crrespnds t E. n = 6. cm, r =.6 cm 6. p = 8. ft 7. T and U 8. D and B. Figure # 6 lines f symmetry # 0 lines f symmetry # 8 lines f symmetry 0. Figure # rder = # rder = # rder = 6 - angle = 7 - angle = 80 - angle = 60.
Chapter 8 Circle Gemetry. The pints n a circle are all the same distance frm the center. A line segment frm the center t any pint n a circle is called a radius. A line segment with bth endpints n a circle is called a chrd. A chrd that passes thrugh the center f a circle is called a diameter. The length f a radius is half the length f a diameter.. (a) = = 6. (a) = 0, y = 0 = 0, y =, z = 4. (a) = = (c) = 8 (d) = 0, y = 0 (e) = 6, y = 0 Chapter - Statistics. (a) D yu prefer t drink watered dwn % milk r creamy and smth % milk? - Avid psitive/negative descriptive wrds D yu prefer t drink % milk r % milk? OR Which type f milk d yu prefer t drink? (check ne nly) % milk % milk ther Is the lud, heavy beat f rap music damaging t the human bdy? D yu think that rap music culd be harmful t the human bdy? (c)d yu, like mst peple, bey the speed limit? - D yu bey the speed limit?. (a) Timing is an issue. After several incidents f vandalism, peple will be mre likely t supprt a curfew. Privacy is an issue. Peple mst likely d nt want ther t knw if they have had a traffic vilatin, in case they perceive them as a bad/careless driver.. (a) Ppulatin: all cell phnes prduced Census r Sample: mst likely a sample, t many cell phnes t test Ppulatin: all grade students (desn t state in a schl, district, prvince) Census r Sample: if in a schl, a census culd be dne If in a district/prvince, a sample shuld be dne 4. (a) Every n th persn is called systematic sampling. Breaking int grades and nly asking frm r a few grades is called clustered sampling. (c) Breaking peple int grups (pages n a phne bk) and then picking peple frm each grup (page) is called stratified randm sampling.