Name,~l&,) class. .f~c ~l y = 2 D 6x + 5y = 2 -~-.-$" ,U~:---=~~~tc: {', \~(~)+ 11(-la~::t\'C

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1 Name,l&,) class II!IIIIiIIIIiiIiI: 1 i:1pqr isa right triangle with mlp = 900 It point P,hascoordinates (1-5) and point Q has coordinates (-2, O),what is the slope of line PR? 4 Which graph shows a line!!ar to the line with an x-intercept of -4 and a y-intercept of 3? A C D5 2 Which line is parallel to the line P<Jssiqg through the point (2,2) with slope?,!\ -,-, A 5x + 6y = 2,U:---=tc: {, 5x - 6y = 2 10 f - 5z: Z :5::; - 5y = 2 D 6x + 5y = 2 ---$" fc l- c,\ 3 Which line does QI intersectthe line passing through the points (-15, ) and (5, -18)? A 4x - 5y = 10 8x + lay = 10 C lox - 8y = 10 15X + 12y = 10 \(\5)+\1(1) e -C?5-+ g+:i=td \()+ 11(-la::t\C LESSON 9 Using Slopes and Equations of lines 2

2 1!!!!! Name_ I ) -, 1 Sam has 4 less than 3 times as many red marbles ashe does blue marbles In total, he has 32 marbles This system of equations can be used to calculate how many of each> i ":tvn e he has: ",;, ;,,,-1 =t,l I! -,11 q re-a - l{ rpoll p,-!!,l- /j /It"-\ vv x i 3y = -4 +y : Class "/hich ordered pair is the solution of the following system of equations? _ l,:= - >-:---::;;; -::-a =l\"l:":: = 32 ;,--- "1,,- -:,,, 1 ---The solution to the system of equations is (23,9) What is a correct interprtain "" this solution? / 1> ""?3 i"fj; frti x A Sam has 9 red marbles and 31 bhie marbles 5/Peter and Mark have a total of $,50Peter has three times as much money as Mark If x is the amount of money Peter has and y is the amount of money Mark has, what is a reasonable solution to a system of equations describing their money? X +- Sam has 23 blue marbles and 65 red marbles C Sam has 9 blue marbles and 23 red marbles D Sam has 9 blue marbles and 14 red marbles sf CO t = 50 )(35, (20,10) 2 What is the y-coordinate of the solution to the system of linear equations below? 4x + 4y = 10-1{2x+y=4) _p", ( l:p 21-- C D 6 C (30,20) X =- 3 I D ( ), 3t+f ::S!) 4-\ -=-SO,\::,\ 5 44l= t ",,_liti,itt1 " ifv 125) t;f!!o;;;! 2ts»:h:f u bought 3 staplers and 3 pads of paper for $21 To find the cost of each item separately, Craig solved the system of linear equations below: i =-\\ 3 (2x + 4y = 24) -ei l!:l 0 -= 0;::: 0> -1-{3x + 3y = 21) 3 Jim and Sally weigh a total of 10 kg Jim weighs 20 kg more than twice what Sally weighs How much does Jim weigh? A 50 kg C 110 kg 90 kg (2)120 kg S -=-)( J:; utld Hegot the solution (2,5) What is the correct interpretation of his solution? A Together, 2 staplers and 5 pads of paper would cost $45 Five staplers cost $2 and pads of paper $5 e stapler costs $2 and one pad of paper r: -+ L)\ +20 -==- \ l b 3)( t-20::tlb 3Xo \60 ){=50 z: $5 ])Re bought 2 staplers and 5 pads of paper +\1"1 =e L -:::;-"t L_ 3Ft) "i ;;;;;, 30 LESSON 10 Solving Systems of Linear Equations

3 \,California Name_h-!L Class 5 Whih is!-he u of ( ; DCPY +,J6bt;_ lie *-Je2l? c 2 + 2c 2 C --6c2 + 2bc + 5b 2 D 6c 2-5b 2 6b, 6 A circle has a radius given by the expression x4y2 Which expression gives the area of the ci,rcle? --, A-, t\j 2 - HI nx8y4 "A (l me em::j nx4y4, A-:l?)2 D tt:» y 1rt 4 C n: 6 t4 c:;:- o 8 :::> c:;: o " " 3 Which polynomial is equivalent to (2p2-3p) - (9p2 + lop - p3)? A llp2 + p + p3-3p -"y!-\of llp2 - p - p3 C llp2-13p - p3 V + p3 4 Whi h i h (x 1)3? c IS t e quotient to x + 1 A x+ 1 t!)cx + I? C (x + l? D x2 (x+tt J(+ (+)2 Lon«j) ("f-x "f i) -11\ subt, p The volume of a cube is given by the expression x 6 y3 Which expression gives the length of a side of the cube? A xy V=j \AI h --,, J1i 2i"1 x2y " VVI 3 ft t -"1,1:,"! C x 3,,, D x 3 y3 8 The area of a triangle is 8x 4 y3 units, and the triangle has a height of 4x2y2 units Which expression gives the length of the base of the triangle? (x =/= 0 and y =/= 0) Ii,-t)\,A x2y 16x 6 y5,;: t i4x2y D x4y3 8",3=\(4):Lb 2Sirce : tc: l:,j \", 1 -I \, L, \:>:; d,y: i 1(\-( htirlt (/< / r! 2 I 2 /"; t :"1"l" soto, -\ f,1- { :;" Ie b LESSON 11 Operations With Monomials and Polynomials 33

4 Name_:-llIhIIL1 Factor the trinomial Sx/ - j llx 116jI A (3x I + 1)(2x + 3 f2-5 Is the trinomial 12xy square? If so, faj:tor it A Yes, its a perfect square, and it equals -? tl, (x (;;1- -1J(t" ") C (3x + 1)(2x + 3) J3X -1)(2x - 3) + 4y2 a perfect :± s 4e 3"1-2(1Pxy)Se: 1 "1, 2L:, -I-2i\P\:?:\ - 3),_tj( (3x - 1)(2x + 3) -iht "_---1 Class + 2y)(x + 2y) Yes, its a perfect square, and it equals (3x + 2y)(3x + 2y) ( jjies, its a perfect square, and it equals (3x - 2y)(3x - 2y) D No, its ot a perfect square 2 Is the trinomial x2 + 25x a perfect square? If so, factor it A Yes, its a perfect square Its factors are 6 Is the binomial y2 (x + 5)(x + 5) Yes, its a perfect square Its factors are (x - 5)(x - 5) A Yes, its a difference of squares Its factors are (y - 8)(y + 8) C Yes, its a perfect square Its factors are (x + 5)(x + 25) o, its not a perfect square J 1r t 1CJ "-1 t- "" \ "} c,-" l,- " vi: \ -- r " Yes, its a difference of squares Its factors are (y - 8)(y - 8) ",,0: L c_,"" C Yes, its a difference of squares Its factors are (y + 8)(y + 8) 13 :)Vt o, r 3 Is the binomial y2-196 a difference of squares? If so, factor it \ eo1;\ 0:es, + 64 a differene of squares? If so, factor it its not a difference of squares n rt, e,/ s: J ::, [) c: cvw ;: \ ci!,< """";/ J t i : " J " -t:- its a difference of squares: Its factors are (y - 14)(y + 14) t,\ t\ t "I """, ""J A (2z + 3)(z - 2) r,=-,- Yes, its a difference of squares Its factors are (y - 14)(y - 14) - 3)(z + 2) «2z C (2z + 3)(3z - 2) f, C Yes, its a difference of squares Its factors are (y + 14)(y + 14) D (2z - 3)(3z + 2) D No, its not a difference of squares 8 Which of the following is true about the trinomial 16x2-24xy + 9y2? 4 Factor the trinomial z2 - Z - (4-j{ 2 l e n \:C (z + + 6) 12)(z -- 6) Jl-,f ) :: (z + 9)(z - 8) - t:f z - 9)(z l lv"!lj I, q:t ( 1 - c{,,{ l -\f:) 36 I LESSON12 Factorinq Trinomials, Perfect ruares, 1- A Its a perfect square Its factors are (4x + 3yf f:}, A (z - 12)(z ) Its a difference of squares Its factors are (4x + 3y)2 Its a perfect square Its factors are, - (4x - 3y? \io)("! 2(\1i-1) -t Q11D Its a difference of squares, and it equals (4x -- 3y) and Differences of Squares

5 1 x+ LI1 +1>4 Ox- x+l D 1\ z - 15 z+ 15 Z Z C Z Z - D X+J t-) (y" \ ="-->;, + 15 Z Z - 25 LESSON 13 Simplifying Polynomial Fractions 39

Find a common monomial factor. = 2y 3 (y + 3)(y 3) Difference of two squares

Find a common monomial factor. = 2y 3 (y + 3)(y 3) Difference of two squares EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 15x = x(x 2 + 2x 15) Factor common monomial. = x(x + 5)(x 3) Factor trinomial. b. 2y 5 18y 3 = 2y 3 (y 2 9) Factor