Chapter 1 Cumulative Review
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1 1 Chpter 1 Cumultive Review (Chpter 1) 1. Simplify Evlute (0.7). 1. (Prerequisite Skill) (Prerequisite Skill). For Questions nd 4, find the vlue of ech expression [(6 4) 7 ] (Lesson 1 1) (Lesson 1 1). 4.. Use the formul F 9 C to find the vlue of F if C.. (Lesson 1 1) 6. Nme the sets of numbers to which the number 1 belongs. 6. (Lesson 1 ) 7. Simplify 1 4 (16x 1) 1 (9x ). (Lesson 1 ) Write n lgebric expression to represent the verbl 8. expression the squre of number incresed by the cube of the sme number. (Lesson 1 ) Solve ech eqution. 9. 1x 1 (x 7) 10. y (Lesson 1 ) (Lesson 1 4) 11. (m ) (10 m) m (Lesson 1 ) 11. Solve ech inequlity. Grph the solution set. 1. 4(t ) t (Lesson 1 ) x 10 or 1 x 0 (Lesson 1 6) x 4 (Lesson 1 6) 14. Define vrible, write n eqution, nd solve the problem. 16. Forty-eight decresed by three times number is thirty-six. 16. Find the number. (Lesson 1 ) Define vrible nd write n inequlity. Then solve. 17. The Cincinnti Reds ply 16 gmes in seson. So fr 17. they hve won 7 gmes. How mny more gmes must they win in order to win t lest 6% of ll gmes for the seson? (Lesson 1 ) Glencoe/McGrw-Hill 4 Glencoe Algebr
2 - NAME DATE PERIOD Enrichment Trcing Strtegy Try to trce over ech of the figures below without trcing the sme segment twice. A B K J P Q L D C M The figure t the left cnnot be trced, but the one t the right cn. The rule is tht figure is trceble if it hs no more thn two points where n odd number of segments meet. The figure t the left hs three segments meeting t ech of the four corners. However, the figure t the right hs only two points, L nd Q, where n odd number of segments meet. Determine if ech figure cn be trced without trcing the sme segment twice. If it cn, then nme the strting point nd nme the segments in the order they should be trced. 1. E F. A B C W X Y D E F K H yes; X; XY, YF, FX, XG, GF, CK, FE, EH, HX, XW, WH, HG G G H J yes; E; ED, DA, AE, EB, BF, FC, KF, FJ, JH, HF, FE, EH, HG, GE. T U P V S R Glencoe/McGrw-Hill 16 Glencoe Algebr
3 -1 NAME DATE PERIOD Study Guide nd Intervention Monomils Monomils A monomil is number, vrible, or the product of number nd one or more vribles. Constnts re monomils tht contin no vribles. Negtive Exponent n 1 1 nd n for ny rel number 0 nd ny integer n. n n When you simplify n expression, you rewrite it without prentheses or negtive exponents. The following properties re useful when simplifying expressions. Product of Powers m n m n for ny rel number nd integers m nd n. Quotient of Powers m m n for ny rel number 0 nd integers m nd n. n For, b rel numbers nd m, n integers: ( m ) n mn (b) m m b m Properties of Powers n n, b 0 b b n n n b or b n, 0, b 0 n b Lesson -1 Exmple. (m 4 n )(mn) Simplify. Assume tht no vrible equls 0. (m 4 n )(mn) m 4 n m n 7m 4 m n n 7m 4 n 7m 6 Exercises Simplify. Assume tht no vrible equls 0. b 8 b. (m 4 ) (m ) (m 4 ) (m ) m 1 1 4m 4 m 1 4m 4 4m c 1 c 4 c 6 c 14. b 6. ( 4 ) 0 b x y x 4 y 1 y 4.. b 1 x 6 b b 6. x y xy x y ( b ) (bc) 6 b 8 c 8. m 7 m 8 m m n 4mn m n 10. c 4 t 11. 4j(j k )(j k 7 4j mn ) 1. (m n) m c 4 t k 1m n 4 Glencoe/McGrw-Hill 9 Glencoe Algebr
4 -1 NAME DATE PERIOD Study Guide nd Intervention (continued) Monomils Scientific Nottion Scientific nottion A number expressed in the form 10 n, where 1 10 nd n is n integer Exmple 1 Express 46,000,000 in scientific nottion. 46,000, ,000, Write 10,000,000 s power of ten. Exmple Exercises Evlute 4. Express the result in scientific nottion Express ech number in scientific nottion. 1. 4, ,860, ,000, , , Evlute. Express the result in scientific nottion. 10. ( )( 10 ) 11. ( )( ) 1. (4. 10 )( 10 ) (. 10 ) 17. ( ) 18. ( ) ASTRONOMY Pluto is,674. million miles from the sun. Write this number in scientific nottion. Source: New York Times Almnc miles 0. CHEMISTRY The boiling point of the metl tungsten is 10,0 F. Write this temperture in scientific nottion. Source: New York Times Almnc BIOLOGY The humn body contins % iodine by weight. How mny pounds of iodine re there in 10-pound teenger? Express your nswer in scientific nottion. Source: Universl Almnc lb Glencoe/McGrw-Hill 40 Glencoe Algebr
5 4 Chpter 4 Cumultive Review (Chpters 1 4) 1. The formul S n(n 1) cn be used to find the sum of the 1. first n nturl numbers. Find the sum of the first 100 nturl numbers. (Lesson 1-1). Evlute 8 b if 4. nd b 1.. (Lesson 1-4). Find the slope of the line tht psses through (4, ) nd. ( 1, 7). (Lesson -) 4. Identify the domin nd rnge of the function g(x) x (Lesson -6). Grph y x 1. (Lesson -7). y O x 6. The vertex of n ngle is the point where the lines whose 6. equtions re y x nd y x 1 meet. Find the coordintes of the vertex. (Lesson -1) 7. Determine whether the ordered pir (, 6) is solution of 7. the system y x 7 nd y x. (Lesson -) 8. Write system of three equtions to represent the given 8. informtion. The sum of three numbers is 7. The second number is 4 more thn the first number, nd the sum of the second number nd the third number is 9. (Lesson -) 9. Solve x y 8. (Lesson 4-1) x 4y For Questions 10 nd 11, perform the indicted mtrix 10. opertions. If the mtrix does not exist, write impossible (Lesson 4-) (Lesson 4-) Evlute using digonls. (Lesson 4-) Find the inverse of M, if it exists. (Lesson 4-7) Glencoe/McGrw-Hill 4 Glencoe Algebr
6 Chpter Cumultive Review (Chpters 1 ) 1. Simplify 1 (6x 1) 4(x ). (Lesson 1-) 1.. Solve 7 (m ) 4 m. (Lesson 1-).. Solve the inequlity x 7. Then grph the solution. set. (Lesson 1-6) Find f() if f(x) x x. (Lesson -1) 4. For Questions nd 6, stte whether ech eqution or function is liner. If not, explin. (Lesson -). f(x) 1 x 6. y x Write n eqution for the line tht psses through (, ) 7. nd is prllel to the line whose eqution is y 4x. (Lesson -4) 8. Evlute f 1 8 if f(x) x. (Lesson -6) Describe the system of equtions s consistent nd 9. independent, consistent nd dependent, or inconsistent. x y 11 4x 6y (Lesson -1) 10. Solve the system of equtions y x 10. by using substitution. 4x y 1 (Lesson -) 11. Solve the system of equtions y x 11. by using elimintion. 4x 9y (Lesson -) For Questions 1 nd 1, use the system of inequlities x 1, y, nd x y Find the coordintes of the vertices of the figure formed by 1. the system of inequlities. (Lesson -) 1. Find the mximum nd minimum vlues of the function 1. f(x, y) y x for the fesible region. (Lesson -4) 14. Solve the system of equtions. x y z (Lesson -) x y z 8 x y z 11 Glencoe/McGrw-Hill 166 Glencoe Algebr
7 Chpter Cumultive Review (Chpters 1 nd ) 1. Evlute 7 c if, b, nd c. (Lesson 1-1) b 1.. Nme the sets of numbers to which 4.1 belongs. (Lesson 1-).. Solve 7 1. Check ech solution. (Lesson 1-4). For Questions 4 nd, solve ech inequlity. Grph the solution set. 4. (x 1) x (Lesson 1-) (y 1) 10 (Lesson 1-6) Find the domin nd rnge of the reltion. Then determine 6. whether the reltion is function. {(4, 7), (, 7), (, 0), (4, 0)} (Lesson -1) 7. Find f(7) if f(x) x x. (Lesson -1) Find the x-intercept nd the y-intercept of the grph of 8. x 4y 8. (Lesson -) 9. Find the slope of the line whose grph is perpendiculr to 9. the grph of x y 7. (Lesson -) 10. Write n eqution in slope-intercept form for the line tht 10. hs slope of 4 nd psses through (, ). (Lesson -4) 11. The prediction eqution y.9x models the 11. medin selling price, in thousnds of dollrs, of new homes in certin re since 199. Predict the medin selling price in 01. (Lesson -) 1. Identify the domin nd rnge of the piecewise function 1. x if x 4x if x h(x). (Lesson -6) y 1. Grph y 4 x 1. (Lesson -7) 1. O x Glencoe/McGrw-Hill 116 Glencoe Algebr
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