12B Practice for the Final Eam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If = -4 and = -2, evaluate the epression. 12-6 1) + 2 A) - 9 B) 0 C) 3 D) undefined 1) Evaluate the epression. 2) (-6)3 A) 18 B) -216 C) -18 D) 216 2) 3) 23 A) 60 B) 80 C) 8000 D) 18 3) Evaluate the epression with the given replacement values. 4) ; = -3 A) -243 B) -1 C) 1 D) 243 4) ) 72; = A) 122 B) 70 C) 24 D) 17 ) 6) -63; = 4 and = -7 A) 04 B) 672 C) -2688 D) 2688 6) Simplif the epression. Write the result using positive eponents onl. 7) 8p -7 7p8 A) 8p 6 7 B) 8 7p1 C) 8p 1 7 D) 8 7p6 7) 8) 49 A) 8 B) 33 C) 31 D) 18 8) Use the product rule to simplif the epression. Write the result using eponents. 9) 89 83 A) 812 B) 6427 C) 827 D) 6412 9) ) (4p2)(-8p8) A) 32p B) -32p C) 32p16 D) -32p16 ) 1
Solve. 11) The rectangle has width 72 feet and length 84 feet. Find its area as an epression in. (Area = length width) 11) 72 feet 84 feet A) 18 sq ft B) 68 sq ft C) 66 sq ft D) 16 sq ft Use the power rule to simplif the epression. 12) (4) 8 A) 24 B) 12 C) 32 D) 232 12) Solve. 13) The square has sides of length 9 centimeters. Find its area. (A = s2) 13) 9 centimeters A) 812 sq cm B) 182 sq cm C) 18 sq cm D) 81 sq cm 2
Plot the ordered pair. State in which quadrant or on which ais the point lies. 14) (-2, 0) 14) A) quadrant I B) -ais 8 8 6 6 4 4 2 2-8 -6-4 -2 2 4 6 8-2 -8-6 -4-2 2 4 6 8-2 -4-4 -6-6 -8-8 C) -ais D) -ais 8 8 6 6 4 4 2 2-8 -6-4 -2 2 4 6 8-2 -8-6 -4-2 2 4 6 8-2 -4-4 -6-6 -8-8 Determine whether the ordered pair is a solution of the given linear equation. 1) 2 + 6 = -4; (0, -2) A) es B) no 1) 16) = 8; (0, 0) A) es B) no 16) Use the power rule and the power of a product or quotient rule to simplif the epression. 17) (2a) A) 32a B) a C) a D) 32a 17) 18) (-4a)2 A) 16a2 B) -8a2 C) -8a D) 16a 19) (7) 2 A) 142 B) 9 C) 14 D) 93 18) 19) 3
20) (4p)4 A) 26p20 B) 26p C) 4p20 D) 26p9 20) Graph the linear equation. 21) = - 21) A) B) - - - - - - - - C) D) - - - - - - - - Use the power rule and the power of a product or quotient rule to simplif the epression. 4 22) 4 A) 44 4 B) 44 26 C) 4 26 D) 26 22) 4
Use the quotient rule to simplif the epression. 23) 14 13 23) A) 14-13 B) 1 C) D) 27 24) s t4 s2t A) s12t B) s8t4 C) s8t3 D) s8t2 24) Simplif the epression. 2) -90 A) -8 B) 0 C) -9 D) 1 2) Find the - and -coordinates of the following labeled points. 26) B 8 6 4 2 A 26) -8-6 -4-2 2 4 6 8-2 -4-6 -8 A) A(4, 3); B(-4, 6) B) A(3, 24); B(6, -4) C) A(4, 3); B(6, -4) D) A(4, 6); B (3, 6) Solve the sstem of equations b the addition method. + 1 = 1 27) 4-12 = 0 27) A) infinite number of solutions B) no solution C) 1 2, 2 D) 2, 1 2
Write a sstem of equations in and describing the situation. Do not solve the sstem. 28) An order of 4 orders of fries, 4 hamburgers, and drinks costs $17. An order of 3 orders of fries, hamburgers, and 2 drinks costs $1. All drinks are $1. A) (4)(4) + = 17 (3)() + 2 = 1 B) 4 + 4 + = 17 3 + + 2 = 1 28) C) 4 + 4 + 1 = 17 3 + + 1 = 1 D) 4 + 4 + = 12 3 + + 2 = 13 Find the degree of the following polnomial and determine whether it is a monomial, binomial, trinomial, or none of these. 29) -17 29) A) 0; binomial B) 0; monomial C) 1; monomial D) -17; monomial 30) 6 - A) 7; binomial B) 0; binomial C) 6; binomial D) ; monomial 30) 31) -17s - 7s + A) 7; trinomial B) ; trinomial C) 6; binomial D) 6; trinomial 31) Simplif. 32) If P() = -3 + 6, find P(-). A) -9 B) 9 C) 21 D) -21 32) 33) If Q() = 2-9, find Q(2). A) -7 B) 49 C) 4 D) - 33) 34) If P() = 72 +, find P(0). A) - B) 0 C) D) 12 34) Simplif the following b combining like terms. 3) 44 + 4-34 A) -604 B) 612 C) 64 D) cannot be simplified 3) 36) 8 + 34-3 A) + 34 B) 814 C) 84 D) cannot be simplified 36) 37) -3r - 14r4-1r4-9r A) -41r4 B) -41r C) -12r - 29r4 D) cannot be simplified 37) Perform the indicated operation. 38) (8 + 11) + ( + 7) A) 18 + 18 B) 182 + 18 C) 18-18 D) 802 + 77 38) 6
39) (-19 - ) - (6 + 13) A) -13 + 3 B) -482 C) -2 + 3 D) -2-23 39) 40) (-8 + 8) + (-2 + 4-4) A) -122 - + 4 B) -2-4 + 12 C) -2 + 4 + 4 D) -2-4 + 4 40) 41) 7z - (14-4z) A) 11z - 14 B) 11z + 14 C) 3z - 14 D) 3z + 14 41) Graph the linear equation. 42) = 42) A) B) - - - - - - - - C) D) - - - - - - - - 7
Identif the intercepts. 43) 43) - - - - A) (-1, 0), (0, 6) B) (-6, 0), (0, 6) C) (-1, 0), (0, -6) D) (1, 0), (0, 6) Match the graph with its equation. 44) = - - 2 A) B) 44) - - - - - - - - C) D) - - - - - - - - 8
Graph the linear equation. 4) -4 + 12 = 24 4) - - - - A) B) - - - - - - - - C) D) - - - - - - - - Find the slope of the line. 46) + = 3 A) m = -1 B) m = 0 C) m = 1 D) undefined slope 46) 47) = 9 A) m = 1 B) m = 0 C) undefined slope D) m = 9 47) 9
Find the slope of the line if it eists. 48) 48) - - - - A) - 1 2 B) 2 C) 1 2 D) -2 Perform the indicated operation. 49) Subtract from 3-6 - 1. A) 3-7 - 1 B) -3 + 7 + 1 C) -3-7 + 1 D) 3 - - 1 49) 0) Subtract (-92-3 + 2) from (-2-6 + 7). A) 82 + 3 + B) -2-9 + 9 C) 2-3 + 9 D) 82-3 + 0) Simplif the epression. Write the result using positive eponents onl. 1) (-)-4 1 A) -62 B) - C) 62 D) 62 1 62 1) 2) --3 A) - 1 12 B) 1 1 C) 12 D) -12 2) Multipl. 3) 6(-94) A) -420 B) 49 C) -49 D) 420 3) 4) (4.83)(47) A) 19221 B) 1.92 C) 19.2 D) 19.221 4)
Find the slope of the line if it eists. ) ) - - - - A) undefined slope B) -4 C) 4 D) 0 Find the slope of the line. 6) = -2 A) m = 0 B) m = -1 C) m = 1 D) undefined slope 6) Determine whether the pair of lines is parallel, perpendicular, or neither. 7) 6 + 2 = 8 27 + 9 = 39 A) parallel B) perpendicular C) neither 7) 8) = 4-4 - 4 = A) parallel B) perpendicular C) neither 8) Multipl. 9) -7(9 + 6) A) -632 + 6 B) -632-42 C) 92-42 D) -2 9) 60) -2(22-7 + 6) A) -43-7 + 6 B) -42 + 14-12 C) -43 + 142-12 D) -43 + 142-12 60) 61) - 1 2-3 8 61) A) 2-7 8 + 3 16 B) 2-19 32-32 C) 2-19 32 + 3 16 D) 2-1 8 + 3 16 62) (b- 9)(b - 7) A) b2-16b + 63 B) 2b + 63 C) 2b2-63 D) b2 + 16b - 63 63) (6 - )(4-9) A) 2-94 + 90 B) 2-94 - 94 C) 242-94 + 90 D) 242-94 - 94 62) 63) 11
Solve. 64) Khang and Hector live 18 miles apart in southeastern Missouri. The decide to biccle towards each other and meet somewhere in between. Hector's rate of speed is 80% of Khang's. The start out at the same time and meet 2 hours later. Find Hector's rate of speed. A) 4 mph B) mph C) mph D) 18 mph 64) 6) To the nearest dollar, the average tuition at a public four-ear college was $3117 in 1997 and $3317 in 1998. Use the ordered pairs (1997, $3117) and (1998, $3317) to find and interpret the slope of the line representing the change in tuition (to the nearest dollar per ear). A) tuition increased $200 per ear B) tuition decreased $200 per ear C) tuition increased $211 per ear D) tuition increased $217 per ear 6) Graph the linear equation b finding and plotting its intercepts. 66) = 1 4-4 66) A) B) - - - - - - - - C) D) - - - - - - - - 12
Solve. 67) Find the area of the top of the table. Epress the area as a product, then multipl and simplif. 67) (4-13) inches (4 + 13) inches A) (162-4 - 169) sq in. B) (2-169) sq in. C) (162 + 4-169) sq in. D) (162-169) sq in. Multipl using the FOIL method. 68) (b - 9)(b - 4) A) 2b2-36 B) b2 + 13b - 36 C) b2-13b + 36 D) 2b + 36 68) Multipl. 69) (p + 4q)(p - 4q) A) p2-16q2 B) p2-8pq - 16q2 C) p2-8q2 D) p2 + 8pq - 16q2 69) Simplif the epression. Write the result using positive eponents onl. 70) 3-2 A) 1 6 B) -9 C) 1 9 D) 9 70) Multipl using the FOIL method. 71) (4-1)(4 + ) A) 82 + 4 B) 162 + 16 - C) 162 + 24 - D) 162-72) (b - 8)(b + 3) A) b2 - b - 24 B) b2 + b + 24 C) 2b - 24 D) 2b2 + 24 71) 72) Multipl. 73) (- 4)2 A) 162-8 + 16 B) 2 + 16 C) + 16 D) 2-8 + 16 74) (p + 6)(p - 6) A) p2-36 B) 2p2 + 60p - 36 C) 2p2-36 D) 2p2-60p - 36 73) 74) 13
7) (3a - 4)2 A) 9a2 + 16 B) 9a2-24a + 16 C) 3a2-24a + 16 D) 3a2 + 16 7) 76) ( + 7)2 A) 2 + 49 B) 2 + 14 + 49 C) + 49 D) 492 + 14 + 49 76) 77) (a - 9)(a + 9) A) a2 + 18a - 81 B) a2-18a - 81 C) a2-81 D) a2-18 77) Use the slope-intercept form to graph the equation. 78) = - 1 2 + 2 78) A) B) - - - - - - - - C) D) - - - - - - - - Find an equation of the line described. Write the equation in slope -intercept form if possible. 79) Slope - 8, through (4, 2) 9 79) A) = - 8 9-0 9 B) = - 8 9 + 0 9 C) = 8 9-0 9 D) = - 9 8-2 4 Find an equation of the line through the pair of points. Write the equation in the form A + B = C. 80) (9, -8) and (0, 3) A) 11 + 9 = 27 B) 17-3 = -9 C) -11 + 9 = 27 D) -17 + 3 = -9 80) 14
Solve. 81) The pitch of a roof is its slope. Interpret the pitch of the roof shown. 81) 7 feet 18 feet A) For each horizontal distance of 7 feet, the roof height increases b 18 feet. B) For each horizontal distance of 7 feet, the roof height decreases b 18 feet. C) For each horizontal distance of 18 feet, the roof height increases b 7 feet. D) For each horizontal distance of 18 feet, the roof height decreases b 7 feet. Write an equation of the line with the given slope, m, and -intercept (0, b). 82) m = 1 2, b = 0 82) A) = 1 2 B) = 0 C) = 1 2 D) = 1 2 83) m = -4, b = 1 2 83) A) = - 1 2-4 B) = 4 + 1 2 C) = 1 2 + 4 D) = -4 + 1 2 Solve. Assume the eercise describes a linear relationship. 84) A gas station sells 4820 gallons of regular unleaded gasoline in a da when the charge $1.3 per gallon, whereas the sell 388 gallons on a da that the charge $1.40 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1.22 per gallon. A) 7260 gal B) 7247.7 gal C) 72.1 gal D) 721 gal 84) 8) An investment is worth $2401 in 1994. B 1997 it has grown to $320. Let be the value of the investment in the ear, where = 0 represents 1994. Write a linear equation that models the value of the investment in the ear. 1 A) = + 2401 B) = 373 + 2401 373 8) C) = -373 + 2401 D) = -373 + 4639 1
Determine whether the graph is the graph of a function. 86) 86) - - - - A) es B) no Evaluate the function. 87) Find f() when f() = 33 A) 37 B) 7 C) 12 D) 4 87) Determine whether the ordered pair is a solution of the sstem of linear equations. 88) (6, 7); 3 = 2 - + 3 = 27 A) Yes B) No 88) 89) (2, ); + = 3 - = -7 A) Yes B) No 89) Solve the sstem of equations b either the addition method or the substitution method. 90) = 7 + 3-8 = 4 A) (-, -1) B) (4,-1) C) no solution D) (-4,-2) 90) Without graphing, decide: (a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point? (b) How man solutions does the sstem have? 91) 3 - = 8 + 4 = 20 A) parallel lines; no solution B) identical lines; infinite number of solutions C) lines intersecting at a single point; one solution 91) 16
Solve the sstem of equations b graphing. 92) 2 + = 2 3 + = 1 92) - - - - A) (-1, 4) B) (4, -1) C) no solution D) (1, -4) 93) + = - = 3 93) - - - - A) (4, 1) B) (4, -1) C) no solution D) (1, 4) Without graphing, decide: (a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point? (b) How man solutions does the sstem have? 94) = - + = -4 A) lines intersecting at a single point; one solution B) parallel lines; no solution C) identical lines; infinite number of solutions 94) Solve the sstem of equations b the substitution method. 9) -3-2 = -126 = 4 A) (9, 36) B) no solution C) (36, 9) D) infinite number of solutions 9) 17
96) 1 7-2 = 1-14 = 7 A) infinite number of solutions B) no solution C) (1, -7) D) (7, -1) 96) Write the number in scientific notation. 97) 44,000,000 98) 0.000902 A) 4.4 6 B) 4.4-6 C) 4.4-7 D) 4.4 7 A) 9.02-3 B) 9.02-4 C) 9.02 - D) 9.02 4 99) 0.00000 8739 0) 71,000 A) 8.739-6 B) 8.739 - C) 8.739 6 D) 8.739-7 A) 7.1-4 B) 7.1 - C) 7.1 D) 7.1 4 97) 98) 99) 0) 18
Answer Ke Testname: 12B FINAL EXAM PRACTICE 1) D 2) B 3) B 4) A ) D 6) D 7) B 8) A 9) A ) B 11) C 12) C 13) D 14) C 1) B 16) A 17) A 18) A 19) A 20) A 21) D 22) B 23) C 24) C 2) C 26) A 27) D 28) B 29) C 30) C 31) B 32) C 33) D 34) C 3) C 36) A 37) C 38) A 39) D 40) D 41) A 42) B 43) A 44) D 4) B 46) A 47) B 48) B 49) A 0) D 19
Answer Ke Testname: 12B FINAL EXAM PRACTICE 1) D 2) A 3) C 4) C ) A 6) D 7) A 8) C 9) B 60) C 61) A 62) A 63) C 64) A 6) A 66) A 67) D 68) C 69) A 70) C 71) B 72) A 73) D 74) C 7) B 76) B 77) C 78) B 79) B 80) A 81) C 82) D 83) D 84) D 8) B 86) B 87) A 88) A 89) B 90) D 91) C 92) A 93) A 94) B 9) C 96) A 97) D 98) B 99) A 0) D 20