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Spring Semester Exam Review Name PART 3 Graph the equation. State the vertex, the axis of symmetry and the zeros. 2 1. y=x2 +3-7x+12 \/= ÿ --7"Z."}-!ÿ v , ,,- b .ÿ "T 7" Maximum orÿircle one) Axis of symmetry: "ÿ ÿ- 3,ÿ Zeros: ÿ"ÿ ÿÿ,, ÿ ÿ 3, ÿ ÿ "7 (ÿ,5")ÿ- ÿ5 '! -2,75 Find each sum or difference. 2. (5x2 - x- 7) + (2x2 + 3x + 4) "7× 3 2 3. @2 _3x)_(2x2 + 5x) Graph and check to solve each linear system. -x+y=3 \t = "¢-,-t 3 4. -5x+y=O 0 \/ - 5"/,-*-, ÿ , x+y=5 x+y=6 y = -ÿ-X+- 5 !![!!!!!!![!ÿ!!!l iiiiiiiiiitf'fiiiiZ ,,,,, IIIIIIIIII'IIÿ1ÿII '!!!! i iiÿ'¢ii iiii II.ÿ11ÿJl !J!!!!!!rUq!!!!4! :::::::::::::::::::::: IIII iiiiiiiÿiiiil iiii ,AIIII !1111111111 IIIIII IIII !!!!!!!J!!!!!!!!! r[![ :::::::::::=::::1 :::::::::::=::::: iiiJ :::::::::::lllll[ IIII iiiiiiiiiiiL[llll IIII IIII (ll ) ) 6. The sum of two numbers is 59. The difference between 2 times the first number and 6 times the s, econd is -34. Find the two numbers. ,,, t :.... 5:/-: -, ...... :::7 L7_:i<l_t 7. Olsi has $4.95 is quarters and dimes. He has 3 times as many ditfiÿarters. Which system of equations can be used to find q, the number of quarters and d, the number of dimes that OIsi has. d=3q 0.1ÿ0g + 0.25d = 4.95 B. d=q+3 0.25q + 0.10d = 4.95 d =3q 0.25q+0.10d = 4.95 D. q=3d 0.25q+0.1 d=4.95 . Look at the following system of equations. --t<2x-2y= 14) 6x - 2y - 32 I/Lÿ, ÿ-,) 2q : ÿ- 7bt "S-)g "" 0 ='ÿ ÿ( = fl. 5 --__o..5 Which of the following is a description of the solution for this --- A. An infinite number of solutions H ÿ --ÿ ÿ) B. No solution * ÿp 7--ÿ°ÿD + One solution D. Two solution 9. Mr. Pannell is planning to put a fence around a rectangular garden. The length of the garden is 3 feet more than 1.5 times its width. If Mr. Pannell uses a total of 36 feet of fencing around the edge of the garden, what is the length of the garden? Pÿ 2 L_÷2.ÿ,t ) .L---. !, s 3 --L.; D:4::] 1 0. Match the system of linear inequalities with its graph. 1 2 mX+ x<-iy-ÿ_<ÿÿÿ)'ÿ X-ÿ- 3 x> x>-I .__2-" A, ,, B, j .. I y I:(: a.t i -31 t t 3 .r :, I% I _ÿ_3-71--+- Simplify. 11. (tSsSXt2s) 'x' 12. b2 -F_. 5s 14. Which expression is equivalent to (SxS)(2xS) ? Iÿ_t _ if,<qÿ, A. 4x9 /" B. 4x2 ÿ} _jjJ C. 2x8 D. 2x4 Solve each inequality and graph the solution on a number line. '<'ÿq 16.4a-8<2a -- O. 4. H- -- 2.- 2 Oÿ ÿ._ H 1 7.2(3x - 1) > 6(x + 1) {:,x - a -2. bÿ<.+6, '- P.,> g solu-Fo:! 3 Is the ordered pair a solution of the inequality? X 18.3x + 2y < 4; (4,ÿ') 19. 5x-3y > 4;(-1,-5) s(-ÿ,)-- ?(-5) > -5415ÿ7ÿ If'-> H Graph the inequalities. -a 21. 2x-2y< 6 20. 2x+2y>_8 -g 7.=5 bO{" ';a-/ÿ -- 3 I --L • lI Ill I + III 444 ÷ ÷ i i i III H +, +H i H III J ÷ 22. Which ordered pair represents one of the zeros of the function f(x) = 6x2 + llx - 357 A. (-35, o) -If-+ JzÿTT777-ÿ@(-3s) 8ZcZ-s.a,_ÿo) 12 =IIÿ-: ÿlz I+ÿ,+o " t% D. @0) The Netroraii co, llected $887.50 iin fares in ,one day. The pricÿe of a regu'{ar fare was $1.2:5, and [he pria 23. of a dis¢ount fare was $0.,60, If a ,total ,of 775 peÿpÿ paid the fares on. this bus, hpwmany pa, id the oo ÿ,asX +..ÿov : aÿ-Z.5o') 'X= rÿOtÿbr" ; ÿ 50 ........................... ÿ* ÿ---ÿ-ÿ. &5ot,,ÿ.ÿ.-T75 1ÿ -",, ......................................... Y =' 12. ÿ, t5 bÿ X '" ÿ, 5o = ÿrsÿ.