elementary and intermediate Algebra Warm-up Name atfm0303mk2810yes

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1 MATH000 online PLACEMENT TEST 1 QUESTIONS Fall 013 elementar and intermediate Algebra Warm-up Name atfm0303mkes website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER) VIDEOS (ON DEMAND) INTERACTMATH (MCKENNA AND KIRK BEGINNING AND INTERMEDIATE ALG) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Subtract. 1) 0 - (-) A) -1 B) 9 C) 1 D) -9 Objective: (1.3) Subtract Real Numbers ) (-) - (-) A) -1 B) 30 C) 1 D) -30 Objective: (1.3) Subtract Real Numbers 1) ) Perform the indicated operations. 3) 17 - (-19) (-1) A) 3 B) - C) 30 D) -30 Objective: (1.3) Add/Subtract More Than Two Real Numbers 3) Evaluate. ) - A) -0 B) -00 C) -0 D) - Objective: (1.) Evaluate Eponential Epression ) ) (-) A) -3 B) -1 C) 1 D) 3 Objective: (1.) Evaluate Eponential Epression ) Simplif using the order of operations. ) + (- - 1) A) B) 1 C) - D) -1 Objective: (1.) Simplif Using Order of Operations ) Evaluate the following algebraic epression using the indicated values. (a - b) 7) when a = 7, b = 0, c = -9, d = -9c - d A) B) - C) - D) Objective: (1.) Evaluate Algebraic Epression Using Indicated Values 7) Simplif b combining like terms. ) -9-3 A) -1 B) -1 + C) - D) 7 Objective: (1.) Simplif b Combining Like Terms ) 1

2 9) 7a - a + b A) -a + b B) 9a + b C) a D) a + b Objective: (1.) Simplif b Combining Like Terms ) A) 11 + B) 9 + C) + D) - Objective: (1.) Simplif b Combining Like Terms 9) ) 11) A) B) C) -3 D) Objective: (1.) Simplif b Combining Like Terms 11) Use the Distributive Propert to remove parentheses, and then combine like terms. 1) 9( + ) - A) B) 9 + C) 9 + D) 17 - Objective: (1.) Use Distributive Propert and Combine Like Terms 13) 9 - (7-3) A) - 7 B) C) 1-7 D) 9 - Objective: (1.) Use Distributive Propert and Combine Like Terms 1) + - (- - ) A) B) -1 - C) 1 + D) + 1 Objective: (1.) Use Distributive Propert and Combine Like Terms 1) -(9r + 7) + (3r + ) A) -1r + B) -1r + 7 C) r + 3 D) -r Objective: (1.) Use Distributive Propert and Combine Like Terms 1) 13) 1) 1) Solve the linear equation and check the solution. 1) 13( - ) = A) {} B) {} C) {0} D) {} Objective: (.) Solve Linear Equation (Grouping Smbols) 1) 17) - ( - 1) = A) 1 B) C) - 1 D) ) Objective: (.) Solve Linear Equation (Grouping Smbols) 1) ( - ) = -9-1 A) B) {1} C) {- 1} D) - 7 1) Objective: (.) Solve Linear Equation (Grouping Smbols) 19) -7q = q A) {} B) {3.9} C) {-31} D) {3.} Objective: (.) Solve Linear Equation (Decimals) 19)

3 0) 1 + = 0) A) {-1} B) {1} C) {1} D) {-1} Objective: (.) Solve Linear Equation (Fractions) 1) = 1) A) {7} B) {} C) {-} D) Objective: (.) Solve Linear Equation (Fractions) ) r + = r + 7 A) {1} B) {} C) {-} D) {-1} Objective: (.) Solve Linear Equation (Fractions) ) 3) = ) A) - 93 B) 1 93 C) D) 99 Objective: (.) Solve Linear Equation (Fractions) Solve for the indicated variable. ) A = P(1 + rt), for t Pr A) t = A - P B) t = A r C) t = P - A Pr D) t = A - P Pr ) Objective: (.3) Solve Literal Equation for Variable ) A = 1 h(a + b), for a ) A) a = A - hb h B) a = hb - A h C) a = Ab - h h D) a = A - hb h Objective: (.3) Solve Literal Equation for Variable 3

4 Solve the problem b utilizing the Pʹs: Prepare, Plan, Process, and Ponder. ) Solve the formula for the volume of a right circular cone, V = 1 3 πr h, for the height (h). Determine ) the height of a right circular cone with a radius of meters and a volume of 1π cubic meters. A) h = 3V πr ; h = m C) h = 3V πr ; h = m 3V B) h = πr ; h = 1 m 3V D) h = πr ; h = m Objective: (.3) Solve Ps Application Solve for the indicated variable. 7) -1 = -9p + 3q, for p A) p = 9-1q 3 B) p = Objective: (.3) Solve Challenge Problems 1 + 3q 9 C) p = -1-3q D) p = 1-3q -9 7) ) a + = 1, for b ) A) = a 1- b B) = a b - 1 C) = b 1- a D) = a 1+ b Objective: (.3) Solve Challenge Problems 9) a + b = c, for A) = c - a b B) = c + a b C) = c - b a D) = c + b a 9) Objective: (.3) Solve Challenge Problems

5 Solve the linear inequalit and graph the solution set. State the solution using interval notation. 30) ) A) [, ) B) [, ) C) (-, ] D) (-, ] Objective: (.) Solve and Graph Linear Inequalit 31) ) A) (-, -] B) [-, ) C) [7, ) D) (-, 7] Objective: (.) Solve and Graph Linear Inequalit Solve the linear inequalit and state the solution set using interval notation, if applicable. 3) 3 + 3) A) [, ) B) [-, ) C) (, ) D) (-, ] Objective: (.) Solve Linear Inequalit

6 Solve the inequalit for. Write the answer using interval notation. 33) > ) A) , B) -, - C) -, D) 79, Objective: (.) Solve Challenge Problems Solve the double inequalit for. State the solution using interval notation. 3) A) [, ] B) [-, -] C) (, ) D) (-, -) Objective: (.) Solve Double Inequalit 3) Solve the absolute value equation and write the solution set using set notation. 3) r - = A) {-7} B) {-3, 7} C) { } D) {3, 7} Objective: (.) Solve Absolute Value Equations 3) Solve the absolute value inequalit. Graph the solution set, then write the answer using interval notation. 3) - 9 < 1 A) (-, ) 3) B) (-, 7) C) (-7, ) D) (-, -7) Objective: (.) Solve and Graph Absolute Value Inequalit (<, )

7 Solve the absolute value equation or inequalit. State the solution using set notation or interval notation, whichever is appropriate. 37) + > 1 37) A) (-, ) B) (, ) C) (-, -) (, ) D) (-, ) Objective: (.) Solve and Graph Absolute Value Inequalit (>, ) Determine if the ordered pair is a solution to the equation. 3) (3, ) + = 0 A) es B) no Objective: (3.1) Determine if Ordered Pair Is Solution to Equation 3) Use the intercept method to graph the solutions of the linear equation. 39) - 3 = 39) A) B)

8 C) D) Objective: (3.) Graph Linear Equation Using Intercept Method Find the slope of the straight line through the two solution points. 0) (, 3) and (-, ) 0) A) m = - B) m = - 1 C) m = D) m = - Objective: (3.3) Find Slope of Line Given Two Points Find the slope and the -intercept b using the slope-intercept form of the equation of the line. If necessar, solve for first. 1) - 3 = - 1) A) m = 3, 0, - B) m = 3, 0, 3 C) m = - 3, 0, 3 D) m = - 3, 0, - 3 Objective: (3.3) Find Slope and -Intercept Given Equation Graph the solutions of the linear equation b using the slope and -intercept. ) = - )

9 A) B) C) D) Objective: (3.3) Graph Linear Equation Using Slope and -Intercept Write the equation of the line having the given slope and passing through the given point. 3) m = 3, (-3, ) A) = 3-1 B) = 3-1 C) = D) = Objective: (3.) Write Equation of Line Given Slope and Point 3) Determine if the pair of lines is parallel, perpendicular, or neither. ) = - = ) A) parallel B) perpendicular C) neither Objective: (3.) Determine if Lines Are Parallel, Perpendicular, or Neither ) = 9 - = 9 + A) perpendicular B) parallel C) neither Objective: (3.) Determine if Lines Are Parallel, Perpendicular, or Neither ) = - = - - A) parallel B) perpendicular C) neither Objective: (3.) Determine if Lines Are Parallel, Perpendicular, or Neither ) ) 9

10 Solve the sstem of linear equations using the Substitution Method. 7) + = 3 + = 1 A) {(17, -7)} B) {(, ) + = } C) { } D) {(3, 7)} ) 9) Objective: (.) Solve Sstem of Linear Equations Using Substitution + = 1 = 3 A) { } B) {(-, -1)} C) {(, 1)} D) {(, ) + = 1} Objective: (.) Solve Sstem of Linear Equations Using Substitution - = - = A) {(, -3)} B) {(, ) - = } C) {(-, 13)} D) { } Objective: (.) Solve Sstem of Linear Equations Using Substitution (Inconsistent/Dependent) 7) ) 9) Solve the sstem of linear equations using the Elimination Method. 0) - = 7 + = A) { } B) {(-, -13)} C) {(, ) - = 7} D) {(, -1)} 1) Objective: (.3) Solve Sstem of Linear Equations Using Elimination = = A) {(300, 0)} B) {(-300, -0)} C) {(, ) = 1} D) { } Objective: (.3) Solve Challenge Problem 0) 1) Subtract. Write the difference in descending powers of the variable. ) ( - + 0) - ( ) A) B) C) D) Objective: (.3) Subtract Polnomials ) Evaluate the polnomial with the indicated value for the variable. 3) for = - A) - B) -1 C) - D) -0 Objective: (.3) Evaluate Polnomial 3) Multipl the monomials. ) (-3)(-) A) 0 B) 0 C) 0 D) 0 Objective: (.) Multipl Monomial b Monomial )

11 Multipl. ) 9(- - ) A) B) - C) D) Objective: (.) Mulitpl Monomial b Polnomial ) Multipl using the Distributive Propert. ) ( + )( + 7) A) + B) + C) D) Objective: (.) Multipl Binomial b Binomial 7) ( - )( - 1) A) B) C) D) Objective: (.) Multipl Binomial b Binomial ) ( + 7)( - ) A) B) C) D) Objective: (.) Multipl Binomial b Binomial 9) ( - 11)( + ) A) B) C) D) Objective: (.) Multipl Binomial b Binomial ) 7) ) 9) Multipl. 0) ( + 1)( - + 1) A) B) C) D) 3-1 Objective: (.) Multipl Polnomial b Polnomial 0) 11

12 Solve the problem b utilizing the Pʹs: Prepare, Plan, Process, and Ponder. 1) Use the figure to: a. Find the eact area of the shaded region leaving π in the answer. b. Find the approimate area (in square ards) b letting = ards and π 3.1 1) ( + π) A) a units 1 b d ( + π) C) a units 1 b d Objective: (.) Solve Ps Application ( - π) B) a units 1 b d ( - π) D) a units 1 b d 1

13 ) Use the figures to: a. Find the areas of the two triangles and write the answers as polnomials. Recall that the area of ) a triangle is given b A = 1 bh. b. If = meters, find the numeric values for each area in square meters A) a units; units b. 931m; 7 m B) a units; units b. 0 m; 0 m C) a units; units b. 0 m; 1m D) a units; units b. m; 3 m Objective: (.) Solve Ps Application Multipl using the FOIL method. 3) (a + )(a + ) A) a + a + B) a + C) a + D) a + a + Objective: (.) Multipl Two Binomials Using FOIL Method 3) ) ( m - a) A) m + ma + a B) m - ma + a C) m - ma + a D) m - ma - a Objective: (.) Multipl Two Binomials Using FOIL Method ) Square using special products. ) ( + 3) A) B) C) + 9 D) + 9 Objective: (.) Square Binomial ) ) ( 9 a - 11 ) A) 9 a + 11 B) 1 a + 11 C) 1 a - 19 a + 11 D) 9 a - 19 a + 11 Objective: (.) Square Binomial ) 13

14 7) ( b + ) A) 1 b + 0 b + B) b + 0 b + C) b + D) 1 b + Objective: (.) Square Binomial 7) ) ( - 11 ) A) B) C) + 11 D) Objective: (.) Square Binomial ) Use the special product of a sum and difference of two terms to multipl the binomials. 9) ( + )( - ) A) + - B) - C) - D) - - Objective: (.) Multipl Sum and Difference of Two Terms 70) ( + )( - ) A) - 1 B) - C) D) Objective: (.) Multipl Sum and Difference of Two Terms 71) ( a + 3 b)( a - 3 b) A) 0 a - 0 ab - 9b B) a - 3b C) 0 a + 0 ab - 9b D) 0 a - 9b Objective: (.) Multipl Sum and Difference of Two Terms 9) 70) 71) Find the area of the geometric figure using special products. 7) 7) A) B) C) D) Objective: (.) Solve Application 1

15 73) 73) A) B) C) D) Objective: (.) Solve Application Divide. Write answer in lowest terms using positive powers onl. 7) - 913z 7z A) -z B) 3z C) -3z D) -3 Objective: (.) Divide Using Eponent Rules 7) Divide. Do not use long division. 7) 1a 3-9a + 1a 3a A) a - 3a - B) a - 9a + 1a C) 1a3-3a + D) a - 3a + Objective: (.) Divide Polnomial b Monomial 7) Divide using long division. 7) ( + 7-1) ( + 9) A) - B) - C) D) + Objective: (.) Divide Using Long Division (No Remainder) 7) Factor out the GCF using the Distributive Propert. 77) A) 3( + ) B) + C) 3( + ) D) (3 + ) Objective: (.1) Factor Out GCF 77) 7) (3 + ) - (3 + ) A) ( - )(3 + ) B) (1 + )( - ) C) (1 - )( + ) D) ( + )(3 - ) Objective: (.1) Factor Out GCF (Binomial Factor) 7) Factor b grouping. 79) A) ( - )( + ) B) ( + )( + ) C) ( + )( - ) D) ( - )( - ) Objective: (.1) Factor b Grouping 79) 1

16 0) A) ( - 9)( - ) B) ( + 9)( + ) C) ( + 9)( - ) D) ( - 9)( + ) Objective: (.1) Factor b Grouping 0) Factor, if possible, using the difference or sum of squares. If a polnomial is not factorable, write ʺprime.ʺ 1) 1k - 1m A) (k + 9m) B) prime C) (k - 9m) D) (k + 9m)(k - 9m) Objective: (.) Factor Sum or Difference of Squares 1) Factor using the sum or difference of cubes. ) 3-13 A) ( + )( - + ) B) (- )( + + ) C) ( + 1)( + ) D) (- )( + ) Objective: (.) Factor Sum or Difference of Cubes ) Using the general factoring strateg, factor completel. If a polnomial is not factorable, write ʺprime.ʺ 3) - 19 A) ( - 7) B) ( + )( - 7) C) ( + 7)( - 7) D) ( + 7)( - ) Objective: (.) Factor Using General Strateg 3) ) 11 m - 9 A) C) 11 m m - 3 B) 11 m + 3 D) prime 11 m - 3 ) Objective: (.) Solve Challenge Problem Factor the trinomial using the AC Method. If a trinomial is not factorable, write ʺprime.ʺ ) A) ( + 3)( + 3) B) ( - 3)( - 3) C) prime D) ( + 3)( + 3) Objective: (.3) Factor Using AC Method ) ) A) (3 - )( + ) B) ( - )(1 + ) C) (3 + )( - ) D) ( - )(3 + ) Objective: (.3) Factor Using AC Method ) Factor the trinomial using the Educated Guess-and-Test Method. If a trinomial is not factorable, write ʺprime.ʺ 7) ) A) (3 + )( + ) B) (3 - )( - ) C) (1 + )( + ) D) (1 + )( + ) Objective: (.3) Factor Using Educated Guess-and-Test Method 1

17 Factor the trinomial using the Modified Guess-and-Test Method. If the trinomial is not factorable, write ʺprime.ʺ ) ) A) prime B) ( + )( - ) C) ( + 1)( - 30) D) ( + )( - ) Objective: (.) Factor Using Modified Guess-and-Test Method 9) A) ( + 11)( - ) B) ( - 11)( + ) C) prime D) ( - 11)( + 1) Objective: (.) Factor Using Modified Guess-and-Test Method 9) 90) u - uv - v A) (u - v)(u + v) B) (u + v)(u - v) C) (u - v)(u + v) D) (u - v)(u + v) Objective: (.) Factor Using Modified Guess-and-Test Method 90) Determine if the trinomial is a perfect square trinomial. If it is, factor it. If it is not, write ʺprime.ʺ 91) A) ( + ) B) ( + )( - ) C) ( - ) D) prime Objective: (.) Factor Perfect Square Trinomial 91) 9) b - 3b + 3 A) (b + 1)(b - 1) B) (b - 1) C) prime D) (b + 1) Objective: (.) Factor Perfect Square Trinomial 9) 93) A) prime B) ( - ) C) ( - 3) D) ( + 3) Objective: (.) Factor Perfect Square Trinomial 93) Factor the trinomial using the general factoring strateg. If a trinomial is not factorable, write ʺprime.ʺ 9) A) ( + )( - 3) B) prime C) ( - )( + 3) D) ( + )( - 3) Objective: (.) Factor Using General Strateg 9) 9) A) ( + 3)( + 1) B) ( + )( - ) C) ( + 3)( + 1) D) ( + ) Objective: (.) Factor Using General Strateg 9) Factor the polnomial completel using the general factoring strateg. If the polnomial is not factorable, write ʺprime.ʺ 9) 3( - ) - a( - ) 9) A) (3 + )( - a) B) (3 - a)( - ) C) 3a( - ) D) (3 - )( - a) Objective: (.) Factor Out Common Factor Solve the equation using the Zero Factor Propert and state the solution set. 97) (9 + 0)( + ) = 0 A) - 0 9, - B) , - C) {11, 3} D) Objective: (.) Solve Equation Using Zero Factor Propert (Equation = 0) 0 9, 97) 17

18 9) n + 1n = 0 A) - 7, 0 B) - 7, 1 C) - 7 D) {0} 9) Objective: (.) Solve Equation Using Zero Factor Propert (Equation = 0) 99) - = 0 A) {-, -} B) {, } C) {1, 0} D) {-, } Objective: (.) Solve Equation Using Zero Factor Propert (Equation 0) 99) 0) ( - 3) = A) {, -9} B) {-, -9} C) {-, 9} D) {, 9} Objective: (.) Solve Equation Using Zero Factor Propert (Equation 0) 0) Simplif the rational epression ) - 1) A) B) 3 - C) D) 3 + Objective: (7.1) Simplif Rational Epression ) ) A) - + B) C) D) Objective: (7.1) Simplif Rational Epression Multipl the rational epressions and write the answer in lowest terms. 3) 30 A) 1 33 B) 1 Objective: (7.) Multipl Rational Epressions C) 1 1 D) 1 3) ) ) A) 1 1 B) 1 C) 1 D) 1 Objective: (7.) Multipl Rational Epressions ) a - 9b ab a b a - 3b ) A) a + 3ab B) a + 3ab b C) a + 3b ab D) a - 3ab b Objective: (7.) Multipl Rational Epressions 1

19 Divide the rational epressions and write the answer in lowest terms. ) m - m + m - 1 m - m - 1 m - A) m + (m + )(m - ) B) m - (m + )(m - ) Objective: (7.) Divide Rational Epressions C) m - m - D) m - m ) Add or subtract the rational epressions with common denominators. Write the answer in lowest terms ) - A) + B) + C) + D) Objective: (7.3) Add or Subtract with Common Denominator 7) Perform the indicated operations and write the answer in lowest terms. ) A) 11-1 ( - 3) B) 11-1 (3 - ) Objective: (7.3) Add or Subtract with Unlike Denominators I C) 1-11 (3 - ) D) 1-11 ( - 3) ) 9) ) A) ( + )( - ) B) - ( + )( - ) C) - + ( + )( - ) D) ( + )( - ) Objective: (7.3) Add or Subtract with Unlike Denominators I 1) w w w A) w + w + w(w + 9) C) w + w + w(w + 9) B) w + w(w + 9) D) w + w(w + 9) 1) Objective: (7.3) Add or Subtract with Unlike Denominators I 111) ) A) 1 + B) 17 - C) 1 - D) 1 - Objective: (7.3) Add or Subtract with Unlike Denominators I 19

20 Simplif the comple fraction ) ) A) ( + 7) B) ( + 7) C) ( - 7) D) ( + 7) Objective: (7.) Simplif Comple Fractions b Multipling b Reciprocal 113) - z - 1 z 113) A) B) z C) 1 D) z Objective: (7.) Simplif Comple Fractions b Multipling b Reciprocal 11) ) A) B) C) D) Objective: (7.) Simplif Comple Fractions b Multipling b LCD/LCD 11) ) A) B) C) D) + ( - ) Objective: (7.) Simplif Comple Fractions b Multipling b LCD/LCD 11) ) A) 3 - B) + 3 C) - 3 D) 3 + Objective: (7.) Simplif Comple Fractions b Multipling b LCD/LCD 0

21 ) A) 1 B) 3 C) 3 D) 3 117) Objective: (7.) Simplif Comple Fractions b Multipling b LCD/LCD 11) 3t - 1u t u u - t A) t + u B) t + u C) tu t + u Objective: (7.) Simplif Comple Fractions b Multipling b LCD/LCD D) t + u tu 11) Find an ecluded values and state the domain of the rational function using interval notation or set -builder notation as appropriate. 119) f() = + 119) + A) D = (-, ) B) D= { - and } C) D = { -} D) D = { -} Objective: (7.) State Domain of Rational Function 10) f() = - 10) A) D = { } B) D = 1 C) D = { 0} D) D = { 0 and } Objective: (7.) State Domain of Rational Function ) f() = A) D = { - and -} B) D = { and -} C) D = { 0} D) D = { and } Objective: (7.) State Domain of Rational Function 11) Solve the equation. 1) - 1 = 1) A) {-} B) {-} C) {} D) 3 Objective: (7.) Solve Equation Involving Rational Epression 1

22 13) = - 13) A) {} B) { } C) {-} D) {} Objective: (7.) Solve Equation Involving Rational Epression Solve the formula for the indicated variable. 1) L = P - W for P 1) A) P = L + W B) P = LW C) P = L + W D) P = L - W Objective: (7.) Solve Formula for Indicated Variable 1) 1 a + 1 b = c for a 1) A) a = 1 c - b B) a = b bc - 1 Objective: (7.) Solve Formula for Indicated Variable C) a = 1 bc D) a = bc - 1 b Translate the statement and find the variation constant, k. 1) varies directl with and = 1 when = 1. 1) A) B) 3 C) 1 3 D) Objective: (7.) Find Variation Constant Solve the variation problem. 17) C varies directl with v. If C = when v = 9, find C if v = 1. A) 1 B) 33 C) 30 D) 37 17) Objective: (7.) Solve Direct, Indirect, or Joint Variation Problems Simplif using the product rule for radicals. 1) 10 A) B) 30 C) D) 13 Objective: (.1) Simplif Using Product Rule 1) Write in simplified radical form. Assume that all variables represent positive real numbers. 19) 19z9 A) 13z7 B).3z z C).3z D) 133z z Objective: (.1) Write in Simplified Radical Form 19) Perform the indicated operations. Write the answer in simplified radical form. Assume that all variables represent positive real numbers. 130) ) A) - B) 3 C) D) Objective: (.1) Add/Subtract Square Roots

23 Using the Pthagorean Theorem, a + b = c, find the missing length of the side of the triangle. Write our answer in simplified radical form. 131) 131) 9 A) 1 B) 1 C) 17 D) 17 Objective: (.1) Solve Application Multipl. Write the answer in simplified radical form. Assume that all variables represent positive real numbers. 13) ( )(1-3 7) 13) A) - B) C) 1-7 D) Objective: (.) Multipl Square Roots (Distribute/FOIL/Special Product) Solve the problem b utilizing the Pʹs: Prepare, Plan, Process, and Ponder. Find the speed, S, of the accident vehicle D using the formula S = s, where s is the speed of the test vehicle, D is the length of the skid marks at the accident d scene, and d is the length of the skid marks left b the test vehicle. 133) Skid marks at an accident scene are 1 feet in length. If the speed of the test vehicle was 3 mph 133) and it left feet of skid marks, how fast was the other car traveling before the accident? A) mph B) 1 mph C) 1 mph D) 1 1 mph Objective: (.) Solve Ps Application Solve and write the solution using set notation. 13) 7 - = - 1 A) { } B) {-, 3} C) {-} D) {3} Objective: (.3) Solve Equation Containing Square Root (Square Binomial) 13) Solve the problem b utilizing the Pʹs: Prepare, Plan, Process, and Ponder. The formula t = π L g represents the time (in seconds) for a pendulum of length L (in feet) to complete one ccle, where g is the gravitational constant of approimatel 3 feet per second squared. Use the formula to find the eact and approimate lengths in the following application. 13) Find the length of the pendulum in a clock tower if it takes seconds for the pendulum to 13) complete one ccle. A) L = 00 π C) L = 00 π ft., or approimatel 3. ft. B) L = 0 π ft., or approimatel.13 ft. 0 ft., or approimatel 0. ft. D) L = ft., or approimatel.0 ft. π Objective: (.3) Solve Ps Application 3

24 Solve the problem b utilizing the Pʹs: Prepare, Plan, Process, and Ponder. S 13) The radius of a sphere is given b the formula r =, where S is the surface area of the sphere. π Use the formula to solve the application. Joan Lone is an astronom student at a local communit college. As part of her final project she has designed a model of the solar sstem. In this model, the sphere representing the planet Jupiter has a surface area of approimatel 10 square centimeters. Find the radius of this sphere. Give our answer in eact form and as a decimal rounded to the nearest tenth of a centimeter. A) π π cm or 7. cm B) 3 π π cm or 3. cm 13) C) 3 π cm or.1 cm D) 1 π π cm or.7 cm Objective: (.) Solve Ps Application Simplif using the product rule or quotient rule for radicals. Write the answer in simplified radical form. Assume that all variables represent positive real numbers. 137) 3-7a11b13 137) A) -3ab 3 ab B) 3 a13b11 C) -3a3b 3 ab D) -3ab 3 a3b Objective: (.) Simplif Radical Using Product Rule or Quotient Rule Solve and write the solution using set notation. 13) = 7 A) {0} B) {} C) {130} D) {-3} Objective: (.) Solve Equation Containing Higher Root 13) Find the functional value and write the answer as an ordered pair. 139) h() = 3-7 -, h(-) A) (-, -11) B) (-, -) C) (-, 3) D) (-, ) Objective: (9.1) Find Functional Value (Number) 139) 10) g(t) = t - t, g 1 10) A) 1, 1 B) 1, - 1 C) 1, 3 D) 1, - 3 Objective: (9.1) Find Functional Value (Number) 11) f() = -, f(-3) A) (-3, 11) B) (-3, -19) C) (-3, -11) D) (-3, 19) Objective: (9.1) Find Functional Value (Number) 11)

25 Find the following function and its domain. 1) Let f() = - 9 and g() = Find (f + g)(). A) , D = B) - +, D = 1) C), D = (-, ) D) , D = (-, ) Objective: (9.) Find Sum, Difference, Product, or Quotient of Functions 13) Let f() = - 3 and g() = 7 -. Find (f - g)(). 13) A) , D = (-, ) B) - - 7, D = - 7 C) - 7-7, D = (-, ) D) 9 + 1, D = { 1} Objective: (9.) Find Sum, Difference, Product, or Quotient of Functions 1) Let f() = + 1 and g() = -. Find A) - + 1, D = - 1 C) - + 1, D = f g (). B) + 1 -, D = D) + 1 -, D = - 1 1) Objective: (9.) Find Sum, Difference, Product, or Quotient of Functions 1) Let f() = - and g() = + 1. Find (f g)(). A) , D = (-, ) B) + -, D = (-, ) C) , D = { 0} D) , D = (-, ) Objective: (9.) Find Sum, Difference, Product, or Quotient of Functions 1) Graph the function b plotting points. State the domain and range. 1) f() = 1) - -

26 A) D = {} R = (-, ) B) D = (-, ) R = {} C) D = {} R = (-, ) D) D = (-, ) R = (-, ) Objective: (9.3) Graph Function 17) g() = )

27 A) D = [0, ) R = [1, ) B) D = [-1, ) R = [0, ) C) D = [0, ) R = [-1, ) D) D = [1, ) R = [0, ) Objective: (9.3) Graph Function 1) f() = - 1) 7

28 A) D = (-, ] R = (-, 0] B) D = [, ) R = [0, ) C) D = [0, ) R = [-, ) D) D = (-, ] R = [0, ) Objective: (9.3) Graph Function

29 Match the function with the appropriate graph of the transformation of the function g() =. 19) f() = ( - 3) A) B) 19) C) D) Objective: (9.) Match Function to Its Graph 9

30 10) f() = ) A) B) C) D) Objective: (9.) Match Function to Its Graph 30

31 11) f() = ( + ) - A) B) 11) C) - D) Objective: (9.) Match Function to Its Graph Using transformations and/or reflections and one of the basic graphs, state the transformation and/or reflection and sketch the function. 1) g() = ( - 3) 1)

32 A) This is the graph of f() = shifted to the left 3 units. B) This is the graph of f() = shifted to the right 3 units C) This is the graph of f() = shifted up 3 units. D) This is the graph of f() = shifted down 3 units Objective: (9.) Use Transformations to Graph Function 13) f() = )

33 A) This is the graph of f() = shifted to the left 3 units. B) This is the graph of f() = shifted up 3 units C) This is the graph of f() = shifted down 3 units. D) This is the graph of f() = shifted to the right 3 units Objective: (9.) Use Transformations to Graph Function 1) g() = ( + 3) - 1 1)

34 A) This is the graph of f() = shifted to the right 3 units and then shifted down 1 unit. B) This is the graph of f() = shifted to the left 1 unit and then shifted up 3 units C) This is the graph of f() = shifted to the right 1 unit and then shifted up 3 units. D) This is the graph of f() = shifted to the left 3 units and then shifted down 1 unit Objective: (9.) Use Transformations to Graph Function 1) f() = )

35 A) This is the graph of f() = shifted 7 units to the left and then shifted up units. B) This is the graph of f() = shifted 7 units to the right and then shifted up units C) This is the graph of f() = shifted to the right units and then shifted down 7 units. D) This is the graph of f() = shifted to the left units and then shifted down 7 units Objective: (9.) Use Transformations to Graph Function 1) f() = - - 1)

36 A) This is the graph of f() = shifted right units and then reflected about the -ais. B) This is the graph of f() = shifted left units and then reflected about the -ais C) This is the graph of f() = shifted left units and then reflected about the -ais. D) This is the graph of f() = shifted right units and then reflected about the -ais Objective: (9.) Use Transformations and Reflections to Graph Function 17) h() = )

37 A) This is the graph of f() = shifted to the right 3 units, reflected about the -ais and then shifted down units B) This is the graph of f() = shifted to the left 3 units, reflected about the -ais and then shifted down units C) This is the graph of f() = shifted to the right 3 units, reflected about the -ais and then shifted down units D) This is the graph of f() = shifted to the left 3 units, reflected about the -ais and then shifted down units Objective: (9.) Use Transformations and Reflections to Graph Function Perform the indicated operations and write the answer in the standard form a + bi. 7i 1) - 1i A) i B) i C) i D) i 1) Objective: (.1) Multipl or Divide Comple Numbers 19) - i -9 + i A) i B) i C) - i D) i 19) Objective: (.1) Multipl or Divide Comple Numbers 37

38 Solve using the Zero Factor Propert. 10) = 0 10) A) - 1 3, 7 B) - 7, 1 3 C) - 7, 3 D) -3, 7 Objective: (.) Solve Using Zero Factor Propert 11) = 0 11) A) -, 3 B) -, 1 3 C) -3, D) - 1 3, Objective: (.) Solve Using Zero Factor Propert 1) = 0 1) A) -3, 7 B) - 1 3, 7 C) - 7, 3 D) - 7, 1 3 Objective: (.) Solve Using Zero Factor Propert Solve using the Square Root Propert. 13) = 13) A) {} B) {-, } C) {} D) - 1, 1 Objective: (.) Solve Using Square Root Propert 1) = 1 A) {-9, 9 } B) {-3, 3 } C) {3 } D) {9 } Objective: (.) Solve Using Square Root Propert 1) 1) ( - 7) = A) {3} B) {, -} C) {1, } D) {, -1} Objective: (.) Solve Using Square Root Propert 1) 1) ( + 3) - 7 = 0 1) A) 3-7, B) -3-7, C) -, 1 D) 7-3, Objective: (.) Solve Using Square Root Propert Solve b completing the square. 17) = 0 A) {0, } B) {3-3i, 3 + 3i} C) {3-9i, 3 + 9i} D) {3 + 3i} Objective: (.) Solve b Completing the Square 17) 1) = - 1 1) A) {-3, } B) {-3, -} C) - 1, 1 D) {, 3} Objective: (.) Solve b Completing the Square 3

39 Solve using the Quadratic Formula. 19) + = A), B) 0, Objective: (.3) Solve Using Quadratic Formula C) -, 0 D) -, 19) Solve b the method of our choice. 170) + - = 0 A) {-, } B) {, -} C) {-, 0} D) {, } Objective: (.3) Solve Quadratic Equation b An Method 170) 171) = 0 A) {-7 - i, -7 + i} B) {-7 + i} C) {-7 - i, -7 + i} D) {-1, -} Objective: (.3) Solve Quadratic Equation b An Method 171) Solve the application using the Pthagorean theorem. 17) A bird flies 3 meters in a straight line from the top of a vertical cliff to a point on the ground 3 meters from the base of the cliff. Find the height of the cliff. Round to the nearest hundredth of a meter. 17) 3 m 3 m A) Approimatel.7 meters B) Approimatel 7.1 meters C) Approimatel 13 meters D) Approimatel 7.9 meters Objective: (.3) Solve Application 173) One end of a gu wire is attached to the top of a 13-foot pole and the other end is anchored into the ground 9 feet from the base of the pole. Find the length of the gu wire. Round to the nearest tenth of a foot. 173) 13 feet 9 feet A) Approimatel 1. feet B) Approimatel. feet C) Approimatel feet D) Approimatel 1.3 feet Objective: (.3) Solve Application 39

40 Solve the formula for the indicated variable. 17) V = 1 3 s h for s (volume of a square pramid) 17) A) s = 3Vh B) s = 3Vh h C) s = 3Vh 3h D) s = 3V h Objective: (.) Solve Application Determine a) if the parabola opens up/down or left/right, b) the ais of smmetr, c) the verte, and d) the intercepts. Then graph the parabola given b the quadratic equation. 17) = ) A) a. up, b. = 0, c. (0, -9), d. (-3, 0) and (3, 0) B) a. down, b. = 0, c. (0, -9), d. none

41 C) a. up, b. = 0, c. (0, 9), d. none D) a. up, b. = -9, c. (-9, 0), d. (-9, 0) Objective: (11.1) Graph Parabola and State Characteristics Graph the quadratic equation. 17) = ( - 3) + 17)

42 A) B) C) D) Objective: (11.1) Graph Parabola 177) = ( + ) + 177)

43 A) B) C) D) Objective: (11.1) Graph Parabola 17) = ( - 3) 17)

44 A) B) C) D) Objective: (11.1) Graph Parabola 179) = 3( - ) + 179)

45 A) B) C) D) Objective: (11.1) Graph Parabola 10) = 3( - 1) - 10)

46 A) B) C) D) Objective: (11.1) Graph Parabola Solve the application. 11) An arrow is fired into the air with an initial velocit of feet per second. The height in feet of the arrow t seconds after it was shot into the air is given b the function h(t) = -1t + t. Find the maimum height of the arrow. A) feet B) 9 feet C) 3 feet D) 19 feet Objective: (11.1) Solve Application 1) A person is standing on the top of a building 0 feet above the ground. The project an object upward with an initial velocit of 0 feet per second. The objectʹs distance above the ground, d, after t seconds ma be found b the formula d = -1t + 0t + 0. What is the maimum height the object will reach and how much time does it take to reach that height? A) maimum height = 7 ft; time = 1. seconds B) maimum height = 0 ft; time =. seconds C) maimum height = 7 ft; time =. seconds D) maimum height = 0 ft; time = 1. seconds Objective: (11.1) Solve Application 11) 1)

47 Answer Ke Testname: AT9ACCUPLACERB 1) B ) C 3) A ) C ) D ) C 7) B ) A 9) D ) B 11) B 1) C 13) C 1) C 1) A 1) D 17) A 1) B 19) A 0) D 1) B ) D 3) A ) D ) D ) B 7) B ) A 9) C 30) B 31) D 3) A 33) A 3) A 3) B 3) C 37) C 3) A 39) C 0) C 1) B ) C 3) D ) B ) B ) C 7) A ) C 9) D 0) D 7

48 Answer Ke Testname: AT9ACCUPLACERB 1) B ) D 3) C ) B ) D ) D 7) C ) C 9) A 0) B 1) B ) D 3) D ) B ) A ) C 7) A ) A 9) B 70) B 71) D 7) D 73) A 7) C 7) D 7) B 77) C 7) A 79) B 0) A 1) D ) B 3) C ) B ) D ) A 7) A ) B 9) A 90) B 91) A 9) B 93) C 9) D 9) D 9) B 97) A 9) A 99) D 0) C

49 Answer Ke Testname: AT9ACCUPLACERB 1) D ) A 3) A ) D ) B ) B 7) C ) A 9) D 1) C 111) D 11) B 113) A 11) D 11) C 11) C 117) C 11) A 119) C 10) C 11) D 1) C 13) C 1) A 1) B 1) D 17) C 1) C 19) D 130) B 131) B 13) A 133) D 13) D 13) C 13) B 137) C 13) C 139) D 10) B 11) D 1) D 13) A 1) B 1) A 1) B 17) D 1) D 19) A 10) C 9

50 Answer Ke Testname: AT9ACCUPLACERB 11) B 1) B 13) A 1) D 1) D 1) A 17) B 1) A 19) D 10) D 11) C 1) A 13) B 1) B 1) C 1) B 17) B 1) B 19) D 170) A 171) A 17) D 173) A 17) B 17) A 17) C 177) B 17) C 179) A 10) C 11) A 1) A 0