# review for math TSI 182 practice aafm m

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1 Eam TSI 182 Name review for math TSI 182 practice aafm042430m MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) A) 40 B) 0 C) 60 D) 38 Objective: (1.7) Use Order of Operations 1) Evaluate the epression for the given replacement values. 2) 4 + for = 8 and = 6 A) 62 B) 37 C) 34 D) 9 Objective: (1.8) Evaluate Algebraic Epressions Given Replacement Values 2) 3) 82 + for = 4 A) 148 B) 8 C) 84 D) 2 4) Objective: (1.8) Evaluate Algebraic Epressions Given Replacement Values 20-2 for = 7, = A) 23 B) 3 C) 13 D) 8 Objective: (1.8) Evaluate Algebraic Epressions Given Replacement Values 3) 4) Solve the equation. ) f + 1 = -2 A) -3 B) 3 C) -1 D) 1 Objective: (2.6) Use the Addition Propert of Equalit to Solve Equations 6) -2 = -12 A) 6 B) C) - D) -6 Objective: (2.6) Use the Multiplication Propert of Equalit to Solve Equations ) 6) 1

2 7) + 4 = 49 A) 9 B) 40 C) 44 D) Objective: (3.2) Use Both Properties to Solve Equations 8) 9n - 4 = 9 A) 7 B) 4 C) 8 D) Objective: (3.2) Use Both Properties to Solve Equations 9) 2( - 2) = 8 A) 2 B) -2 C) -1 D) 1 Objective: (3.2) Use Both Properties to Solve Equations ) ( - 4) = 7-20 A) 0 B) -20 C) 20 D) -40 Objective: (3.2) Use Both Properties to Solve Equations 11) -3( + 2) - 18 = -8-4 A) -4 B) 4 C) 2 D) -2 Objective: (3.2) Use Both Properties to Solve Equations 12) - 6 = 2-30 A) -8 B) 8 C) - D) Objective: (3.3) Solve Linear Equations Using the Addition and Multiplication Properties 7) 8) 9) ) 11) 12) Add or subtract as indicated. Write the answer in simplest form. 4 13) 1-1 A) 1 6 B) 1 Objective: (4.) Add or Subtract Unlike Fractions C) 1 D) 2 13) Solve. 14) = ) A) 12 B) - 2 C) 0 D) 1 12 Objective: (4.8) Solve Equations Containing Fractions 2

3 Solve the equation. 1) = A) -7.9 B) -7.8 C) D) Objective: (.6) Solve Equations Containing Decimals 1) Find the mean. If necessar, round to one decimal place. 16) 17, 1, 16, 16, 7, 19, 3, 17 A) 12 B) 11 C) 34 D) 13.7 Objective: (.7) Find the Mean of a List of Numbers 16) Find the median. If necessar, round to one decimal place. 17) 4, 6, 2, 23, 43, 47 A) 24 B) 23 C) 21. D) 2 Objective: (.7) Find the Median of a List of Numbers 17) Solve the proportion. 4 18) 13 = 39 18) A) 12 B) C) D) 16 Objective: (6.1) Solve Proportions 19) + 8 = 4 3 A) 24 B) - 32 C) 24 7 Objective: (6.1) Solve Proportions D) 8 19) Translate to an equation and solve. 20) 19 is 4% of what number? A) 47 B) 470 C) 47. D) 76 Objective: (6.3) Solve Percent Problems 20) Find the unknown length in the right triangle. If necessar, approimate the length to the nearest thousandth. 21) 21) 2 cm? 24 cm A) 7 cm B) 1 cm C) cm D) cm Objective: (7.3) Use the Pthagorean Theorem 3

4 Find the probabilit of the event. 22) If a single die is tossed once, find the probabilit of the following event. A 2 22) A) 1 6 B) 1 3 C) 2 D) 0 Objective: (7.) Find the Probabilit of an Event Find the probabilit of the event if a single choice is made from a bag. 23) A bag contains 7 red marbles, 7 blue marbles, 6 ellow marbles, and 6 green marbles. What is the probabilit of choosing a red marble when one marble is drawn? A) 7 7 B) C) 1 D) Objective: (7.) Find the Probabilit of an Event 24) A bag contains 2 red marbles, 7 blue marbles, and 3 green marbles. What is the probabilit of choosing a blue marble when one marble is drawn? 23) 24) A) 7 12 B) 1 6 C) 1 4 D) 7 9 Objective: (7.) Find the Probabilit of an Event 2) A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probabilit of choosing a marble that is not blue when one marble is drawn from the bag? A) 9 B) 11 2 C) D) Objective: (7.) Find the Probabilit of an Event 26) A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. What is the probabilit of choosing a marble that is not blue when one marble is drawn from the bag? 2) 26) A) 4 B) 4 C) 1 D) 8 Objective: (7.) Find the Probabilit of an Event 27) A bag contains 7 red marbles, 8 blue marbles, 6 ellow marbles, and 4 green marbles. What is the probabilit of choosing a ellow or green marble when one marble is drawn? A) 2 B) 1 6 C) D) Objective: (7.) Find the Probabilit of an Event 27) 4

5 28) A bag contains 17 balls numbered 1 through 17. What is the probabilit of selecting a ball that has an even number when one ball is drawn from the bag? A) 8 B) 17 2 C) D) ) Objective: (7.) Find the Probabilit of an Event Solve. 29) A new drug is being tested that is supposed to lower cholesterol. This drug was given to 200 people and the results are below. 29) Lower Higher Cholesterol Cholesterol Cholesterol not Changed If a person is testing this drug, what is the probabilit that their cholesterol will be lower? A) B) C) D) Objective: (7.) Find the Probabilit of an Event 30) The length of a rectangle is 148 in. and the width is 36 in. Find its perimeter. A) 368 in. B) 184 in. C) 332 in. D) 328 in. Objective: (8.2) Use Formulas to Find Perimeters 31) The sides of a triangle are 76 ft, 264 ft, and 883 ft. Find its perimeter. A) 1903 ft B) 3806 ft C) 1639 ft D) 2040 ft Objective: (8.2) Use Formulas to Find Perimeters 30) 31) Find the eact or approimate circumference of the circle, as indicated. 32) Find the eact circumference. 32) 30 mi A) 30π mi B) 60π mi C) 900π mi D) 1π mi Objective: (8.2) Use Formulas to Find Circumferences

6 Find the area of the geometric figure. 33) 33) d = 9 ft Use 3.14 for π. A) 63.8 sq ft B) sq ft C) sq ft D) 6.2 sq ft Objective: (8.3) Find the Area of Plane Regions Solve the equation. 34) 6 - (3-1) = 2 34) A) 1 3 B) 1 9 C) D) Objective: (9.3) Appl the General Strateg for Solving a Linear Equation 3) ( - 9) - ( + 4) = 6 A) B) C) Objective: (9.3) Appl the General Strateg for Solving a Linear Equation D) ) 36) 3(2z - 3) = (z + 4) A) 29 B) -11 C) 11 D) 14 Objective: (9.3) Appl the General Strateg for Solving a Linear Equation 36) 37) = ) A) -8 B) 8 C) -12 D) 12 Objective: (9.3) Solve Equations Containing Fractions or Decimals 38) = A) 0 B) -288 C) all real numbers D) no solution Answer: D Objective: (9.3) Recognize Identities and Equations with No Solution 38) 6

7 39) 2( + ) = (2 + ) A) 20 B) 0 C) all real numbers D) no solution Answer: C Objective: (9.3) Recognize Identities and Equations with No Solution 39) Solve. 40) You have taken up gardening for relaation and have decided to fence in our new rectangular shaped masterpiece. The length of the garden is 12 meters and 46 meters of fencing is required to completel enclose it. What is the width of the garden? A) 11 m B) 2 m C) 3.83 m D) 22 m Objective: (9.) Use Formulas to Solve Problems 41) Ted drove to his grandparentsʹ house for a holida weekend. The total distance (one-wa) was 312 miles and it took him 12 hours. How fast was Ted driving? (Round answer to the nearest whole number) A) 26 mph B) 374 mph C) 38 mph D) 37 mph Objective: (9.) Use Formulas to Solve Problems 40) 41) 42) Use the formula C = (F - 32) to write 212 F as degrees Celsius. 9 42) A) 0 C B) C C) 13.6 C D) 8.8 C Objective: (9.) Use Formulas to Solve Problems Substitute the given values into the formula and solve for the unknown variable. 43) d = rt; t = 4, d = 16 A) 4 B) 20 C) 0.3 D) 12 Objective: (9.) Solve a Formula or Equation for One of Its Variables 44) P = 2L + 2W; P = 28, W = 6 A) 8 B) 14 C) 11 D) 22 Objective: (9.) Solve a Formula or Equation for One of Its Variables 4) I = prt; I = 2.2, p = 140, r = 0.06 A) 3 B) C) 0.3 D) Objective: (9.) Solve a Formula or Equation for One of Its Variables 43) 44) 4) Solve the equation for the indicated variable. 46) d = rt for r A) r = d t B) r = dt C) r = t d D) r = d - t 46) Objective: (9.) Solve a Formula or Equation for One of Its Variables 7

8 47) P = 2L + 2W for L A) L = P - 2W 2 B) L = P - W C) L = P - W 2 Objective: (9.) Solve a Formula or Equation for One of Its Variables D) L = P - 2W 47) 48) A = P + PRT for R A) R = A - P PT B) R = P - A PT C) R = A T Objective: (9.) Solve a Formula or Equation for One of Its Variables D) R = PT A - P 48) 49) A = P + PRT for T A) T = A - P PR B) T = P - A PR C) T = A R Objective: (9.) Solve a Formula or Equation for One of Its Variables D) T = PR A - P 49) Solve the inequalit. 0) - 3 < -4 0) A) (-, -1) B) (-1, ) C) (-, -1] D) [-1, ) Objective: (9.6) Use the Addition Propert of Inequalit to Solve Inequalities 8

9 1) -7-1 > ) A) (6, ) B) (-, 4] C) [4, ) D) (-, 6) Objective: (9.6) Use the Addition Propert of Inequalit to Solve Inequalities 2) ) A) (-, 11] B) (-, 11) C) (11, ) D) [11, ) Objective: (9.6) Use the Multiplication Propert of Inequalit to Solve Inequalities 9

10 Solve the inequalit. Graph the solution set and write it in interval notation. 3) > 3(6 + 4) 3) A) (1, ) B) (-, 1) C) (-, 1] D) [1, ) Objective: (9.6) Use Both Properties to Solve Inequalities 4) (3 + 3) 4) A) [-, ) B) (-, -) C) (-, -] D) (-, ) Objective: (9.6) Use Both Properties to Solve Inequalities Determine whether the ordered pair is a solution of the given linear equation. ) = -1; (, 0) A) no B) es Objective: (.1) Determine whether an ordered pair is a solution of an equation in two variables. ) Find three ordered pair solutions b completing the table. Then use the ordered pairs to graph the equation.

11 6) = ) A) B) C) D)

12 Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 7) = ) A) B)

13 C) D) Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. Graph the linear equation. 8) - 2 = 8) A) B)

14 C) D) Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 9) = ) A) B)

15 C) D) Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. Match the graph with its equation. 60) = + 3 A) B) 60) C) D) Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 1

16 61) = 2-6 A) B) 61) C) D) Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. Find the slope of the line that passes through the given points. 62) (8, ) and (6, 9) 62) A) - 2 B) C) 1 D) 2 Objective: (.4) Find the slope of a line given two points of the line. Find an equation of the line described. Write the equation in slope -intercept form if possible. 63) Slope 2, through (, 2) A) = 2-8 B) = C) = 2-8 D) = Objective: (.) Use the point-slope form to find an equation of a line given its slope and a point of the line. 63) Evaluate the function. 64) Find f(4) when f() = A) 29 B) 3 C) 3 D) -3 Objective: (.6) Use function notation. 64) 16

17 6) Find f(0) when f() = A) 4 B) -4 C) 0 D) 16 Objective: (.6) Use function notation. 6) 66) Find f(-3) when f() = A) 12 B) 30 C) 24 D) 27 Objective: (.6) Use function notation. 67) Find f(19) when f() = - 1 A) 18 B) -20 C) 20 D) -18 Objective: (.6) Use function notation. 66) 67) Solve the sstem of equations b the substitution method. 68) + = 6 =-9 A) (-7, 63) B) (63, -7) C) infinite number of solutions D) no solution Objective: (11.2) Use the substitution method to solve a sstem of linear equations. 68) Solve the sstem of equations b the addition method. 69) + = -8 - = 8 A) (-, -33) B) (-33, -) C) infinite number of solutions D) no solution 70) 71) Objective: (11.3) Use the addition method to solve a sstem of linear equations = = 2 A) (- 4, - 2) B) (- 2, - 4) C) infinite number of solutions D) no solution Objective: (11.3) Use the addition method to solve a sstem of linear equations. + = 7 + = 4 A) no solution B) (0, 0) C) (7, 4) D) (0, 11) Objective: (11.3) Use the addition method to solve a sstem of linear equations. 69) 70) 71) 17

18 72) =- 6-6 = 1 A) infinite number of solutions B) (0, 0) C) (-2, 2) D) no solution Objective: (11.3) Use the addition method to solve a sstem of linear equations. 72) Solve. 73) The circle has a radius of 6 centimeters. Find its area. Do not approimate π. (A = πr 2 ) 73) 6 cm A) 36 2 π sq cm B) 12 2 π sq cm C) 36π sq cm D) 12π sq cm Objective: (12.1) Use the power rule for eponents. Use the power rule and the power of a product or quotient rule to simplif the epression. 74) (2a 4 b) 2 A) 4a 8 b 2 B) 2a 6 b 2 C) 2a 8 b 2 D) 4a 6 b 2 74) Objective: (12.1) Use the power rules for products and quotients. 7) (4 3 3 ) 2 7) A) B) 4 C) D) 16 Objective: (12.1) Use the power rules for products and quotients. 76) 4 2 A) B) 2 16 C) Objective: (12.1) Use the power rules for products and quotients. D) 16 76) 77) pm7 3 q6 A) p 3m21 q18 B) pm q9 C) pm 21 q18 Objective: (12.1) Use the power rules for products and quotients. D) p 3m q9 77) 18

19 78) z3 A) z12 B) z12 C) z7 Objective: (12.1) Use the power rules for products and quotients. D) z7 78) Use the quotient rule to simplif the epression. 79) d7 d A) d 6 B) d 8 C) d 7 - d D) 7 Objective: (12.1) Use the quotient rule for eponents. 79) 80) s7 t 9 s 2 t A) s t 8 B) s 9 t C) s t 9 D) s t 7 Objective: (12.1) Use the quotient rule for eponents. 80) 81) 4m3 n 7 9m 2 n A) mn 2 B) 4mn 2 C) m n 12 D) n 2 Objective: (12.1) Use the quotient rule for eponents. 81) Simplif the epression. 82) (-4z 2 )(z 3 ) 82) A) -20z B) -20z 6 C) 2000z D) 20z 6 Objective: (12.1) Decide which rule(s) to use to simplif an epression. 83) 27 3 A) 2 4 B) 16 4 C) 2 D) 8 83) Objective: (12.1) Decide which rule(s) to use to simplif an epression. 84) 2a8 b c 13 abc A) 2a 7 b 4 c 12 B) 2a 9 b 6 c 14 C) a7 b 4 c 12 2 Objective: (12.1) Decide which rule(s) to use to simplif an epression. D) 2a7 b 4 c 12 abc 84) 19

20 Simplif. 8) If P() = - + 1, find P(-3). A) 16 B) -14 C) 14 D) -16 Objective: (12.2) Define polnomial functions. 8) 86) If Q() = , find Q(-1). A) - B) 1 C) 3 D) 9 Objective: (12.2) Define polnomial functions. 86) 87) If P() = 3 2-6, find P(-). A) B) 7 C) 1 D) 64 Objective: (12.2) Define polnomial functions. 87) 88) If Q() = , find Q(0). A) - B) -2 C) D) 0 Objective: (12.2) Define polnomial functions. 88) Perform the indicated operation. 89) (14 + ) - ( ) A) B) C) D) Objective: (12.2) Add and subtract polnomials. 89) Multipl. 90) 9( ) A) B) 272 C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 90) 91) -( ) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 91) 92) 6 2 ( ) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 92) 20

21 93) 2( ) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 94) (a + 8)(a + 1) A) 2a + 8 B) a 2 + 9a + 9 C) a 2 + 9a + 8 D) 2a Answer: C Objective: (12.3) Use the distributive propert to multipl polnomials. 9) ( - 4)( - 6) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 93) 94) 9) 96) (9z + 11)2 A) 81z z B) 81z C) 9z z D) 9z Objective: (12.3) Use the distributive propert to multipl polnomials. 97) (2-11)( + 11) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. 96) 97) 98) (b - )(b 2 + b + 3) A) b b + 1 B) b 3-22b - 1 C) b 3 - b 2-22b - 1 D) b 3 + b b + 1 Answer: B Objective: (12.3) Use the distributive propert to multipl polnomials. 98) 21

22 Solve. 99) Find the area of the top of the table. Epress the area as a product, then multipl and simplif. 99) (11-12) inches ( ) inches A) ( ) sq in. B) ( 2-144) sq in. C) ( ) sq in. D) ( ) sq in. Objective: (12.3) Use the distributive propert to multipl polnomials. 0) Find the volume of the rectangular solid. Epress the volume as a product, then multipl and simplif. 0) A) B) C) D) Objective: (12.3) Use the distributive propert to multipl polnomials. Multipl verticall. 1) (6-1)( ) A) B) C) D) Answer: B Objective: (12.3) Multipl polnomials verticall. 1) Multipl. 2) (3a - 7)2 A) 9a2-42a + 49 B) 9a C) 3a2-42a + 49 D) 3a Objective: (12.4) Square a binomial. 2) 22

23 3) ( + 11)( - 11) A) B) 2-22 C) D) Objective: (12.4) Multipl the sum and difference of two terms. 3) Simplif the epression. Write the result using positive eponents onl. 4) -4 1 A) B) -62 C) 62 D) Objective: (12.) Simplif epressions containing negative eponents. 4) ) ) A) B) C) 33 3 D) Objective: (12.) Use all the rules and definitions for eponents to simplif eponential epressions. Perform the division. 6) 6r8 - r 3 2r A) 3r 7 - r 2 B) 6r 7 - r 2 C) 3r 9 - r 4 D) 3r 8 - r 3 Objective: (12.6) Divide a polnomial b a monomial. 6) 7) ) A) B) C) D) 7-8 Objective: (12.6) Divide a polnomial b a monomial. Find the quotient using long division. 8) A) B) C) Objective: (12.6) Use long division to divide a polnomial b another polnomial. D) + 8 8) Factor out the GCF from the polnomial. 9) 30 + A) (3 + 1) B) (6 + 2) C) 2(1 + ) D) (3) Objective: (13.1) Factor out the greatest common factor from a polnomial. 9) 23

24 1) A) 4( ) B) 4( ) C) 4( ) D) ( ) Answer: C Objective: (13.1) Factor out the greatest common factor from a polnomial. 1) Factor the four-term polnomial b grouping. 111) A) (3 + 7)( - 3) B) (3-3)( + 7) C) (3 + 7)( - 3) D) (3 + )(7-3) Objective: (13.1) Factor a polnomial b grouping. 111) Factor the trinomial completel. If the polnomial cannot be factored, write ʺprime.ʺ 112) A) ( + 7)( - 8) B) ( + 8)( - 7) C) ( + 1)( - 6) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 112) 113) A) ( + 7)( - 6) B) prime C) ( + 6)( - 7) D) ( + 1)( - 42) Answer: C Objective: (13.2) Factor trinomials of the form ^2 + b + c. 113) 114) A) ( - )( + 6) B) ( - 6)( + ) C) ( + 1)( - 30) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 114) 11) A) ( + 9)( - ) B) ( - 9)( + ) C) ( - 9)( + 1) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 11) 116) A) ( - 11)( + 8) B) ( + 11)( - 8) C) ( - 88)( + 1) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 116) 117) A) ( + 7)( - ) B) ( - 7)( - ) C) ( - 7)( + 1) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 117) 118) A) ( + 4)( + 8) B) ( - 4)( + 8) C) ( - 4)( + ) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 118) 24

25 119) u2-2uv - 8v2 A) (u + 2v)(u - 4v) B) (u - 2v)(u + 4v) C) (u - 2v)(u + v) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 119) 120) u2-3uv - 28v2 A) (u + 4v)(u - 7v) B) (u - 4v)(u + v) C) (u - 4v)(u + 7v) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 120) 121) A) ( + 6)( - 2) B) ( - 6)( + 2) C) ( - 6)( + ) D) ( - )( + 2) Objective: (13.2) Factor trinomials of the form ^2 + b + c. 121) 122) A) ( - 6)( + 3) B) ( + 6)( - 3) C) ( - 6)( + ) D) ( - )( + 3) Answer: B Objective: (13.2) Factor trinomials of the form ^2 + b + c. 122) 123) A) 9( + 2)( - 3) B) (9 + 18)( - 3) C) 9( - 2)( + 3) D) prime Objective: (13.2) Factor out the greatest common factor and then factor a trinomial of the form ^2 + b + c. 123) 124) A) 8( + )( - 4) B) 8( - )( + 4) C) (8-8)( + 4) D) prime Objective: (13.2) Factor out the greatest common factor and then factor a trinomial of the form ^2 + b + c. 124) 12) A) 3( - 4)( - 2) B) 3( - 8)( + 1) C) ( - 4)(3-6) D) prime Objective: (13.2) Factor out the greatest common factor and then factor a trinomial of the form ^2 + b + c. 12) Factor the binomial completel. 126) z ) A) prime B) (z - 11) 2 C) (z + 11)(z - 11) D) (z + 11) 2 Answer: C Objective: (13.) Factor the difference of two squares. 127) A) (9 + 7)(9-7) B) (9-7)2 C) (9 + 7)2 D) prime Objective: (13.) Factor the difference of two squares. 127) 2

26 128) w 2 A) (11 - w)(11 + w) B) (11 + w) 2 C) (11 - w) 2 D) prime Objective: (13.) Factor the difference of two squares. 128) 129) A) (8 + 9)(8-9) B) (8-9)2 C) (8 + 9)2 D) prime Objective: (13.) Factor the difference of two squares. 129) 130) w 2 r 2-1 A) (wr + 1)(wr - 1) B) (wr + 1) 2 C) (wr - 1) 2 D) prime Objective: (13.) Factor the difference of two squares. 130) 131) A) ( + 6)( - 6) B) ( - 6)2 C) ( + 6)2 D) prime Objective: (13.) Factor the difference of two squares. 131) 132) ) A) B) C) D) Objective: (13.) Factor the difference of two squares. Solve the equation. 133) ( - 6)( + 4) = 0 A) 6, -4 B) -6, 4 C) 6, -6, 4, -4 D) 6, 4 Objective: (13.6) Solve quadratic equations b factoring. 134) ( + 17) = 0 A) -17, 0 B) 17, 0 C) 1, -17 D) -1, -17 Objective: (13.6) Solve quadratic equations b factoring. 133) 134) 13) = 0 A) -, 8 B), 8 C) -, 1 D), -8 Objective: (13.6) Solve quadratic equations b factoring. 13) 26

27 136) = 0 A) 9, - 2 B) -9, 2 C) -9, - 2 D) -18, 0 Objective: (13.6) Solve quadratic equations b factoring. 136) 137) 2 - = 72 A) -8, 9 B) 8, 9 C) 1, 72 D) -8, -9 Objective: (13.6) Solve quadratic equations b factoring. 137) 138) = 28 A) -7, 4 B) 7, 4 C) -7, 1 D) 7, -4 Objective: (13.6) Solve quadratic equations b factoring. 138) 139) 2-2 = 48 A) 8, -6 B) 8, 6 C) -8, 1 D) -8, 6 Objective: (13.6) Solve quadratic equations b factoring. 139) 140) = 0 A) 4 3, B) 4 3 C) D) 4 3, - 4 3, 0 140) Objective: (13.6) Solve quadratic equations b factoring. 141) = 0 141) A) 0, -3, -4 B) -3, -4 C) 0, 3, 4 D) - 1 3, -4 Objective: (13.6) Solve equations with degree greater than 2 b factoring. 142) = 0 A) 0, -3 B) 0, 3 C) 3, -3 D) 0, -3, 3 Objective: (13.6) Solve equations with degree greater than 2 b factoring. 142) 143) = 0 143) A) 4 3, - 4 3, 0 B) 4 3 C) D) 4 3, Objective: (13.6) Solve equations with degree greater than 2 b factoring. 27

28 Solve. 144) The area of a square is 49 square miles. Find the length of a side of the square. A) 7 mi B) 12.2 mi C) 24. mi D) -7 mi Objective: (13.7) Solve problems that can be modeled b quadratic equations. 144) Find the domain of the rational epression. 14) f() = 4 - A) { is a real number and 4} B) { is a real number and 0} C) { is a real number and -4} D) { is a real number and 0, -4} Objective: (14.1) Find the domain of a rational epression. 14) Simplif the epression. 146) 13 A) 3 2 B) 2 C) D) 3 Objective: (14.1) Simplif or write rational epressions in lowest terms. 146) 147) A) B) C) Objective: (14.1) Simplif or write rational epressions in lowest terms. D) ) 148) ) A) -6 B) C) 1 6 D) 6 Objective: (14.1) Simplif or write rational epressions in lowest terms. 149) ) A) B) C) Objective: (14.1) Simplif or write rational epressions in lowest terms. D)

29 Solve the problem. ) If f() = - 8, find f(-2) A) 2 B) 1 C) 0 D) -2 Objective: (14.1) Use rational functions in applications. ) 11) If f() = , find f(-4) ) A) - B) C) D) 3 Objective: (14.1) Use rational functions in applications. 12) If f() = 2-2 3, find f(2) ) A) 1 7 B) 1 4 C) 2 11 D) 2 7 Objective: (14.1) Use rational functions in applications. Find the product and simplif. 13) ) A) 12 B) 12 C) D) Objective: (14.2) Multipl rational epressions. Find the quotient and simplif. 14) 2z2 3 6z ) A) B) 12z4 7 C) 7 3 D) 7z4 3 6 Objective: (14.2) Divide rational epressions. Solve the equation. 1) + 3 = ) A) 1 B) 7 9 C) 7 20 D) 1 20 Objective: (14.) Solve equations containing rational epressions. 29

30 16) - a + 3 a 4 = 7 a A) -8 B) 4 C) 8 D) -4 Objective: (14.) Solve equations containing rational epressions. 16) Graph the function. 17) f() = ) A) B) C) D) Objective: (1.2) Graph nonlinear functions. 30

31 18) h() = ) A) B) C) D) Objective: (1.2) Graph nonlinear functions. 31

32 19) g() = ) A) B) C) D) Objective: (1.2) Graph nonlinear functions. 32

33 Solve the compound inequalit. Graph the solution set. 160) 13 4t ) A) [2, 6] B) (2, 6) C) [-6, -2] D) (-6, -2) Objective: (16.1) Solve compound inequalities containing ʺand.ʺ 161) -2-3c - 4 < - 161) A) (2, 7] B) [2, 7) C) [-7, -2) D) (-7, -2] Objective: (16.1) Solve compound inequalities containing ʺand.ʺ Solve the absolute value equation. 162) + 3 = 6 A) -9, 3 B) 9, 3 C) -3 D) Objective: (16.2) Solve absolute value equations. 162) 33

34 Solve the inequalit. Graph the solution set. 163) + 18 < 9 A) (-27, -9) 163) B) (9, 27) C) (-, -9) D) (-, -27) Objective: (16.3) Solve absolute value inequalities of the form X < a. 164) + 3 > 4 A) (-, -7) (1, ) 164) B) (-1, 7) C) (-7, 1) D) (1, ) Objective: (16.3) Solve absolute value inequalities of the form X > a. Evaluate. 16) If f() = 2 + 6, find the value of f(1). A) 6 B) 36 C) 30 D) 30 Objective: (17.1) Find function values of square and cube roots. 16) 34

35 Solve. 166) + 4 = 8 A) 60 B) 64 C) 68 D) 144 Objective: (17.6) Solve equations that contain radical epressions. 166) 167) - 1 = 2 A) B) 4 C) 3 D) 9 Objective: (17.6) Solve equations that contain radical epressions. 167) 168) = 0 A) 44 B) 49 C) 4 D) 144 Objective: (17.6) Solve equations that contain radical epressions. 168) Use the square root propert to solve the equation. 169) 2 = 22 A) -1, 1 B) 1 C) -16, 16 D) 112. Objective: (18.1) Use the square root propert to solve quadratic equations. 169) 170) 2 = 11 A) - 11, 11 B) 121 C) 11 2 Objective: (18.1) Use the square root propert to solve quadratic equations. D) ) 171) ( - )2 = 36 A) 11, -1 B) 41 C) 6, -6 D) -1, -11 Objective: (18.1) Use the square root propert to solve quadratic equations. 171) 172) ( + 2)2 = 1 A) -2-1, B) 2-1, C) - 1, 1 D) 13 Objective: (18.1) Use the square root propert to solve quadratic equations. 172) Use the quadratic formula to solve the equation. 173) = 0 A) - 6, 8 B) 6, -8 C) 6, 8 D) -48, 0 Objective: (18.2) Solve quadratic equations b using the quadratic formula. 173) 3

37 Match the function with its graph. 180) f() = 2-4 A) B) 180) (0, 4) (0, -4) C) D) (0, 4) (0, -4) - - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 37

38 181) f() = A) B) 181) (0, 1) (0, -1) C) D) (0, 1) (0, -1) Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. Solve. 182) Four bacteria are placed in a petri dish. The population will triple ever da. The formula for the number of bacteria in the dish on da t is N(t) = 4(3) t, where t is the number of das after the four bacteria are placed in the dish. How man bacteria are in the dish five das after the four bacteria are placed in the dish? A) 972 bacteria B) 60 bacteria C) 00 bacteria D) 12 bacteria Objective: (19.3) Solve problems modeled b eponential equations. 182) 38

39 Answer Ke Testname: AAFM042430MTSI 1) A 2) A 3) A 4) A ) A 6) A 7) A 8) A 9) A ) A 11) A 12) A 13) A 14) A 1) A 16) A 17) A 18) A 19) A 20) A 21) A 22) A 23) A 24) A 2) A 26) A 27) A 28) A 29) A 30) A 31) A 32) A 33) A 34) A 3) A 36) A 37) A 38) D 39) C 40) A 41) A 42) A 43) A 44) A 4) A 46) A 47) A 48) A 49) A 0) A 39

40 Answer Ke Testname: AAFM042430MTSI 1) A 2) A 3) A 4) A ) A 6) A 7) A 8) A 9) A 60) A 61) A 62) A 63) A 64) A 6) A 66) A 67) A 68) A 69) A 70) A 71) A 72) A 73) A 74) A 7) A 76) A 77) A 78) A 79) A 80) A 81) A 82) A 83) A 84) A 8) A 86) A 87) A 88) A 89) A 90) A 91) A 92) A 93) A 94) C 9) A 96) A 97) A 98) B 99) A 0) A 40

41 Answer Ke Testname: AAFM042430MTSI 1) B 2) A 3) A 4) A ) A 6) A 7) A 8) A 9) A 1) C 111) A 112) A 113) C 114) A 11) A 116) A 117) A 118) A 119) A 120) A 121) A 122) B 123) A 124) A 12) A 126) C 127) A 128) A 129) A 130) A 131) A 132) A 133) A 134) A 13) A 136) A 137) A 138) A 139) A 140) A 141) A 142) A 143) A 144) A 14) A 146) A 147) A 148) A 149) A ) A 41

42 Answer Ke Testname: AAFM042430MTSI 11) A 12) A 13) A 14) A 1) A 16) A 17) A 18) A 19) A 160) A 161) A 162) A 163) A 164) A 16) A 166) A 167) A 168) A 169) A 170) A 171) A 172) A 173) A 174) A 17) A 176) A 177) A 178) A 179) A 180) A 181) A 182) A 42

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