Eam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) 1.1 + 4.3 = 0.7 + 1.14 A) -7.9 B) -7.8 C) 0.127 D) -7.11 Objective: (.6) Solve Equations Containing Decimals 2) ( - 1.2) = 9.3 A) 3.06 B) 1.62 C) 2.1 D) 1.3 Objective: (.6) Solve Equations Containing Decimals 3) 8(3-0.2) = 7-1.6 A) 0 B) 0.188 C) -0.082 D) 17 Objective: (.6) Solve Equations Containing Decimals 1) 2) 3) Solve the proportion. 4 4) 13 = 39 4) A) 12 B) 1 1 3 C) 126 3 4 D) 16 Objective: (6.1) Solve Proportions Solve. ) The ratio of the weight of an object on Earth to the weight of the same object on Pluto is 0 to 3. If a buffalo weighs 372 pounds on Earth, find the buffaloʹs weight on Pluto. (Round to the nearest pound.) A) 112 lb B) 8 lb C) 11,17 lb D) 1,117,00 lb Objective: (6.1) Solve Problems Modeled b Proportions ) 6) The scale on a map states that 1 centimeter corresponds to 40 kilometers. On the map, two cities are 21 cm apart. Find the actual distance. A) 840 km B) 84 km C) 8400 km D) 84,000 km Objective: (6.1) Solve Problems Modeled b Proportions 6) 7) 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 7) 1

Solve the equation for the indicated variable. 8) A = P + PRT for T A) T = A - P PR B) T = P - A PR C) T = A R D) T = PR A - P 8) Objective: (9.) Solve a Formula or Equation for One of Its Variables Solve the inequalit. 9) -7-8 -8-13 9) A) (-, -] B) [-, ) -8-7 -6 - -4-3 -2 C) (-, -7) -8-7 -6 - -4-3 -2 D) (-7, ) - -9-8 -7-6 - -4 - -9-8 -7-6 - -4 Objective: (9.6) Use the Addition Propert of Inequalit to Solve Inequalities ) 2 4 ) A) [8, ) B) (-, 8) 6 7 8 9 11 C) (-, 8] 6 7 8 9 11 D) (8, ) 6 7 8 9 11 6 7 8 9 11 Objective: (9.6) Use the Multiplication Propert of Inequalit to Solve Inequalities 2

Solve the inequalit. Graph the solution set and write it in interval notation. 11) -2(3 + 14) < -8-16 11) A) (-, 6) B) (-, 6] 3 4 6 7 8 9 C) [6, ) 3 4 6 7 8 9 D) (6, ) 3 4 6 7 8 9 3 4 6 7 8 9 Objective: (9.6) Use Both Properties to Solve Inequalities 12) -16-32 -4(3 + 3) 12) A) [-, ) B) (-, -) -8-7 -6 - -4-3 -2 C) (-, -] -8-7 -6 - -4-3 -2 D) (-, ) -8-7 -6 - -4-3 -2-8 -7-6 - -4-3 -2 Objective: (9.6) Use Both Properties to Solve Inequalities Solve. 13) The area of a rectangle must be at least 84 square feet. If the length is 7 feet, find the minimum for the rectangleʹs width. 13) A) 12 ft B) 3 ft C) 13 ft D) 1 12 ft Objective: (9.6) Solve Problems Modeled b Inequalities Find three ordered pair solutions b completing the table. Then use the ordered pairs to graph the equation. 3

14) = 2 + 4 14) 0 1-1 - - - - A) 0 4 1 6-1 2 B) 0 0 1 4-1 -4 - - - - - - - - C) 0 4 1 2-1 6 D) 0-4 1-2 -1-6 - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 4

1) = -2-4 1) 0 1-1 - - - - A) 0-4 1-6 -1-2 B) 0 0 1 4-1 -4 - - - - - - - - C) 0-4 1-2 -1-6 D) 0 4 1 2-1 6 - - - - - -

Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 16) = + 2 16) 4-6 0 - - - - A) 4 6-6 -4 0 2 B) 4 2-6 -8 0-2 - - - - - - - - 6

C) 4-2 -6 8 0 2 D) 4-6 -6 4 0-2 - - - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. Graph the linear equation. 17) - 2 = 17) - - - - A) B) - - - - - - - - 7

C) D) - - - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 18) = 18) - - - - A) B) - - - - - - - - 8

C) D) - - - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 19) = -7 19) - - - - A) B) - - - - - - - - 9

C) D) - - - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. 20) = - 20) - - - - A) B) - - - - - - - -

C) D) - - - - - - - - Objective: (.2) Graph a linear equation b finding and plotting ordered pair solutions. Identif the intercepts. 21) 21) - - - - A) (1, 0), (0, 3) B) (-1, 0), (0, 3) C) (1, 0), (0, -3) D) (-3, 0), (0, 3) Objective: (.3) Identif intercepts of a graph. Graph the linear equation b finding and plotting its intercepts. 22) - - = - 20 22) -20-20 - -20 11

A) B) 20 20-20 - 20-20 - 20 - - -20-20 C) D) 20 20-20 - 20-20 - 20 - - -20-20 Objective: (.3) Graph a linear equation b finding and plotting intercepts. Find the slope of the line that passes through the given points. 23) (8, ) and (6, 9) A) - 2 B) - 1 2 C) 1 D) 2 23) Objective: (.4) Find the slope of a line given two points of the line. 24) (-6, 9) and (-1, 6) A) - 3 B) - 3 C) - 1 7 D) 3 24) Objective: (.4) Find the slope of a line given two points of the line. Find the slope of the line. 2) = -7-8 2) A) m = -7 B) m = -8 C) m = 7 D) m = - 1 7 Objective: (.4) Find the slope of a line given its equation. 26) 8 - = 40 26) A) m = 8 B) m = - 8 C) m = 8 D) m = 8 Objective: (.4) Find the slope of a line given its equation. 12

Determine whether the pair of lines is parallel, perpendicular, or neither. 27) = - + 1 = - 8 A) parallel B) perpendicular C) neither Objective: (.4) Compare the slopes of parallel and perpendicular lines. 27) 28) = 2 + 2 28) = - 2 + A) parallel B) perpendicular C) neither Objective: (.4) Compare the slopes of parallel and perpendicular lines. 29) = 4 + 4-4 = 8 A) parallel B) perpendicular C) neither Objective: (.4) Compare the slopes of parallel and perpendicular lines. 29) Find the slope of the line and write the slope as a rate of change. Donʹt forget to attach the proper units. 30) The graph shows the total cost (in dollars) of owning and operating a mini-van where is the number of miles driven. 30) 6000 000 4000 3000 (7000, 2722.2) 2000 00 (3000, 1166.7) 000 000 00 20000 2000 A) $0.39 per mile B) $2.7 per mile C) $2.00 per mile D) cannot be determined Objective: (.4) Use slope as a rate of change. Write an equation of the line with the given slope, m, and -intercept (0, b). 31) m = -8, b = -2 A) = -8-2 B) = -2-8 C) = 8 + 2 D) = 2 + 8 Objective: (.) Use the slope-intercept form to write the equation of a line. 31) 13

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form A + B = C. 32) m = 3; (, 9) 32) A) 3 - = 6 B) 3 - = 22 C) 3 - = -9 D) 3 - = -24 Objective: (.) Use the point-slope form to find an equation of a line given its slope and a point of the line. Find an equation of the line described. Write the equation in slope -intercept form if possible. 33) Slope 2, through (, 2) A) = 2-8 B) = 2 + 8 C) = 2-8 D) = 2 + 8 Objective: (.) Use the point-slope form to find an equation of a line given its slope and a point of the line. 33) Evaluate the function. 34) Find f(4) when f() = 2 + 4-3. A) 29 B) 3 C) 3 D) -3 Objective: (.6) Use function notation. 3) Find f(7) when f() = 9-9 A) 4 B) 72 C) D) 0 Objective: (.6) Use function notation. 36) Find f(19) when f() = - 1 A) 18 B) -20 C) 20 D) -18 Objective: (.6) Use function notation. 34) 3) 36) Find the domain and range of the function graphed. 37) 6 4 3 2 1 37) -6 - -4-3 -2-1 -1 1 2 3 4 6-2 -3-4 - -6 A) domain: (-, ); range: (-, ) B) domain: (-, ); range: {3} C) domain: 1 2 ; range: (-, ) D) domain: 1 2 ; range: {3} Objective: (.6) Use function notation. 14

38) 6 4 3 2 1 38) -6 - -4-3 -2-1 -1 1 2 3 4 6-2 -3-4 - -6 A) domain: (-, ); range: {4} B) domain: (-, ); range: (-, ) C) domain: (-, ); range: (-, 4) (4, ) D) domain: (-, 4) (4, ); range: (-, ) Objective: (.6) Use function notation. 39) 6 4 3 2 1 39) -6 - -4-3 -2-1 -1 1 2 3 4 6-2 -3-4 (-, -4) - -6 A) domain: (-, ); range: [-4, ) B) domain: [-, ); range: [-4, ) C) domain: (-, ); range: (-, ) D) domain: (-, -) (-, ); range: (-, -4) (-4, ) Objective: (.6) Use function notation. 1

40) (-2, 4) 6 4 3 2 1 40) -6 - -4-3 -2-1 -1 1 2 3 4 6-2 -3-4 - -6 A) domain: (-, ); range: (-, 4] B) domain: (-, ); range: (-, ) C) domain: (-, -2]; range: (-, 4] D) domain: (-, -2) (-2, ); range: (-, 4) (4, ) Objective: (.6) Use function notation. Determine whether the ordered pair is a solution of the sstem of linear equations. 41) (-3, 3); + = 0 - =-6 A) Yes B) No Objective: (11.1) Determine if an ordered pair is a solution of a sstem of equations in two variables. 42) (3, -4); 3 + = 4 + 3 = 0 A) Yes B) No Objective: (11.1) Determine if an ordered pair is a solution of a sstem of equations in two variables. 43) (-3, ); 4 + =-17 2 + 4 =-26 A) Yes B) No Objective: (11.1) Determine if an ordered pair is a solution of a sstem of equations in two variables. 41) 42) 43) 16

Solve the sstem of equations b graphing. 44) = - 3 = 2-1 44) - - - - A) (-2, -) B) (-, -2) C) (2, ) D) no solution Objective: (11.1) Solve a sstem of linear equations b graphing. Solve the sstem of equations b the substitution method. 4) + = 6 =-9 A) (-7, 63) B) (63, -7) C) infinite number of solutions D) no solution 46) 47) 48) 49) Objective: (11.2) Use the substitution method to solve a sstem of linear equations. = 4-1 4-20 =-24 A) (, 19) B) (19, ) C) infinite number of solutions D) no solution Objective: (11.2) Use the substitution method to solve a sstem of linear equations. + = -1-4 + 4 = -44 A) (9, -2) B) (8, -1) C) (-9, -1) D) no solution Objective: (11.2) Use the substitution method to solve a sstem of linear equations. -2 + = - -3 + 3 = -18 A) (4, -2) B) (, -3) C) (-2, 4) D) no solution Objective: (11.2) Use the substitution method to solve a sstem of linear equations. 3 + = 9 9 + 3 = 27 A) infinite number of solutions B) (0, 9) C) (, -6) D) no solution Objective: (11.2) Use the substitution method to solve a sstem of linear equations. 4) 46) 47) 48) 49) 17

0) -6-24 = 7 2 + 8 = 0 A) no solution B) (0, 7) C) (7, 0) D) infinite number of solutions Objective: (11.2) Use the substitution method to solve a sstem of linear equations. 0) Solve the sstem of equations b the addition method. 1) + = -8 - = 8 A) (-, -33) B) (-33, -) C) infinite number of solutions D) no solution 2) 3) Objective: (11.3) Use the addition method to solve a sstem of linear equations. - 7 = -66-6 - 8 = -4 A) (-3, 9) B) (-4, ) C) (3, ) D) no solution Objective: (11.3) Use the addition method to solve a sstem of linear equations. 3 + 7 =-13 7 + 3 = 23 A) (, -4) B) (-, 4) C) (, 4) D) (-, -4) Objective: (11.3) Use the addition method to solve a sstem of linear equations. 1) 2) 3) Without actuall solving the problem, choose the correct solution b deciding which choice satisfies the given conditions. 4) Jorge has a total of 0 coins, all of which are either dimes or nickels. The total value of the coins is 4) $4.1. Find the number of each tpe of coin. A) 17 nickels; 33 dimes B) 19 nickels; 31 dimes C) 22 nickels; 28 dimes D) 33 nickels; 17 dimes Objective: (11.) Solve problems that can be modeled b a sstem of two linear equations. Solve. ) Devon purchased tickets to an air show for 8 adults and 2 children. The total cost was $18. The cost of a childʹs ticket was $6 less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket and a childʹs ticket. A) adultʹs ticket: $17; childʹs ticket: $11 B) adultʹs ticket: $18; childʹs ticket: $12 C) adultʹs ticket: $16; childʹs ticket: $ D) adultʹs ticket: $19; childʹs ticket: $13 Objective: (11.) Solve problems that can be modeled b a sstem of two linear equations. 6) Universit Theater sold 79 tickets for a pla. Tickets cost $22 per adult and $11 per senior citizen. If total receipts were $803, how man senior citizen tickets were sold? A) 38 senior citizen tickets B) 194 senior citizen tickets C) 29 senior citizen tickets D) 284 senior citizen tickets Objective: (11.) Solve problems that can be modeled b a sstem of two linear equations. ) 6) 18

7) A vendor sells hot dogs and bags of potato chips. A customer bus 3 hot dogs and bags of potato chips for $13.00. Another customer bus hot dogs and 2 bags of potato chips for $13.7. Find the cost of each item. A) $2.2 for a hot dog; $1.2 for a bag of potato chips B) $1.2 for a hot dog; $2.2 for a bag of potato chips C) $2.0 for a hot dog; $1.0 for a bag of potato chips D) $2.2 for a hot dog; $1.0 for a bag of potato chips Objective: (11.) Solve problems that can be modeled b a sstem of two linear equations. 7) Use the power rule and the power of a product or quotient rule to simplif the epression. 8) (4 3 3 ) 2 A) 16 6 6 B) 4 C) 4 6 6 D) 16 8) Objective: (12.1) Use the power rules for products and quotients. Use the quotient rule to simplif the epression. 9) 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. 9) Multipl. 60) 7 3 (-2 2 ) A) -14 B) 14 C) -14 6 D) 14 6 60) Objective: (12.3) Multipl monomials. 61) (a + 8)(a + 1) A) a 2 + 9a + 8 B) a 2 + 9a + 9 C) 2a 2 + 8 D) 2a + 8 Objective: (12.3) Use the distributive propert to multipl polnomials. 62) ( - 4)( - 6) A) 2 - + 24 B) 2 + - 24 C) 2 2-24 D) 2 + 24 Objective: (12.3) Use the distributive propert to multipl polnomials. 61) 62) 63) (9z + 11)2 A) 81z2 + 198z + 121 B) 81z2 + 121 C) 9z2 + 198z + 121 D) 9z2 + 121 Objective: (12.3) Use the distributive propert to multipl polnomials. 63) 64) ( + 12)( 3 + 2 - ) A) 4 + 12 3 + 2 2 + 19-60 B) 3 + 14 2 + 19-60 C) 4 + 2 2 - + 12 D) 4 + 12 3 + 2 2 + 29 + 60 Objective: (12.3) Use the distributive propert to multipl polnomials. 64) 19

6) (8-1)( 2-3 + 1) A) 8 3-2 2 + 11-1 B) 8 3-23 2 + - 1 C) 8 3-24 2 + 8 + 1 D) 8 3 + 2 2-11 + 1 Objective: (12.3) Use the distributive propert to multipl polnomials. 6) Solve. 66) Find the volume of the rectangular solid. Epress the volume as a product, then multipl and simplif. 66) 7-3 9-3 A) 9 3-48 2 + 63 B) 9 2-48 + 64 C) -9 3 + 36 2 + 63 D) -9 2 + 36 + 64 Objective: (12.3) Use the distributive propert to multipl polnomials. Simplif the epression. Write the result using positive eponents onl. 67) 2-7 - 3 2-4 -8 6 67) A) 3 8 3 B) 1 8 8 3 C) 33 3 D) 8 3 3 Objective: (12.) Use all the rules and definitions for eponents to simplif eponential epressions. Perform the division. 68) -12-97 -34 A) 46 + 33 B) 46-97 C) -12 + 33 D) 713 Objective: (12.6) Divide a polnomial b a monomial. 68) Factor out the GCF from the polnomial. 69) 30 + A) (3 + 1) B) (6 + 2) C) 2(1 + ) D) (3) Objective: (13.1) Factor out the greatest common factor from a polnomial. 69) 70) 21 3-6 2 + 12 A) 3(7 2-2 + 4) B) 3(7 3-2 2 + 4) C) (21 2-6 + 12) D) 3(7 3-2 2 + 4) Objective: (13.1) Factor out the greatest common factor from a polnomial. 70) 71) 20 4 + 36 3 A) 4( 3 + 9 2 ) B) (20 3 + 36 2 ) C) 4( 3 + 9 3 ) D) 4( 4 + 9 2 ) Objective: (13.1) Factor out the greatest common factor from a polnomial. 71) 20

Factor the trinomial completel. If the polnomial cannot be factored, write ʺprime.ʺ 72) 2 - - 42 A) ( + 6)( - 7) B) ( + 7)( - 6) C) ( + 1)( - 42) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 72) 73) 2 + - 30 A) ( - )( + 6) B) ( - 6)( + ) C) ( + 1)( - 30) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 73) 74) 2-3 - 88 A) ( - 11)( + 8) B) ( + 11)( - 8) C) ( - 88)( + 1) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 74) 7) 3 - + 2 A) ( + )( - 2) B) ( - )( + 2) C) ( - )( + 1) D) prime Objective: (13.2) Factor trinomials of the form ^2 + b + c. 7) Factor the binomial completel. 76) z 2-121 A) (z + 11)(z - 11) B) (z + 11) 2 C) (z - 11) 2 D) prime Objective: (13.) Factor the difference of two squares. 76) 77) 812-49 A) (9 + 7)(9-7) B) (9-7)2 C) (9 + 7)2 D) prime Objective: (13.) Factor the difference of two squares. 77) Solve the equation. 78) ( - 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. 78) 79) (2 + 1)( - 3) = 0 79) A) - 1 2, 3 B) 1 2, - 3 C) 1, 2 D) 2, 3 Objective: (13.6) Solve quadratic equations b factoring. 80) 2 + 2-80 = 0 A) -, 8 B), 8 C) -, 1 D), -8 Objective: (13.6) Solve quadratic equations b factoring. 80) 81) 2-7 - 18 = 0 A) 9, - 2 B) -9, 2 C) -9, - 2 D) -18, 0 Objective: (13.6) Solve quadratic equations b factoring. 81) 21

82) 2-7 - 18 = 0 A) 9, - 2 B) -9, 2 C) -9, - 2 D) -18, 0 Objective: (13.6) Solve quadratic equations b factoring. m0-4 83) 2 - = 72 A) -8, 9 B) 8, 9 C) 1, 72 D) -8, -9 Objective: (13.6) Solve quadratic equations b factoring. 82) 83) 84) 22-7 - 9 = 0 84) A) 9 2, -1 B) 2 9, -1 C) 2 9, 1 D) 2 9, 0 Objective: (13.6) Solve quadratic equations b factoring. 8) 22-7 - 9 = 0 8) A) 9 2, -1 B) 2 9, -1 C) 2 9, 1 D) 2 9, 0 Objective: (13.6) Solve quadratic equations b factoring. m0-7 86) 12-8 = 0 A) 8 1, 0 B) 1 8, 0 C) - 8 1, 0 D) - 1 8, 0 86) Objective: (13.6) Solve quadratic equations b factoring. m0-8 87) 3 2 + 21 + 36 = 0 A) - 4, - 3 B) - 1 2, 1 2 C) 3, 4 D) 7, 8 87) Objective: (13.6) Solve quadratic equations b factoring. m0-88) 3 + 70 2 + 120 = 0 88) 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. m0-12 89) 93-16 = 0 89) A) 4 3, - 4 3, 0 B) 4 3 C) - 4 3 D) 4 3, - 4 3 Objective: (13.6) Solve equations with degree greater than 2 b factoring. m0-1 Find the product and simplif. z 90) 3 20z 2z 2 A) 1 8 B) 1 8z Objective: (14.2) Multipl rational epressions. C) z 8 D) z3 8z 2 90) 22

91) 2 + 4 + 2 7 91) A) 7 B) 7 C) 14 D) 7 Objective: (14.2) Multipl rational epressions. m0-17 Find the quotient and simplif. 92) 213 7 6 4 14 3 92) A) 9 B) 4 49 Objective: (14.2) Divide rational epressions. C) 29 7 D) 8 98 93) 2-2 + 2-93) A) ( - ) 2 B) ( + ) C) ( + ) 2 D) ( - )( + ) Objective: (14.2) Divide rational epressions. m0-18 Perform the indicated operation. Simplif if possible. 94) 2-8 - 6 + 12-6 A) - 2 B) + 6 C) + 2 D) - 6 Objective: (14.3) Add and subtract rational epressions with the same denominator. m0-19 Graph the linear function. 9) f() = - 1 8-9 94) 9) - - - - 23

A) B) - - - - - - - - C) D) - - - - - - - - Objective: (1.1) Graph linear functions. 96) f() = - 6 + 2 96) - - - - 24

A) B) - - - - - - - - C) D) - - - - - - - - Objective: (1.1) Graph linear functions. Find an equation of the line. Write the equation using function notation. 97) Through (8, ); parallel to f() = - 6 A) f() = - 3 B) f() = + 4 C) f() = + D) f() = - - 3 Objective: (1.1) Find equations of parallel and perpendicular lines. 97) 98) Through (2, 4); perpendicular to f() = -3 + 4 A) f() = 1 3 + 3 C) f() = 3 + 3 B) f() = - 1 3 + 3 D) f() = -3 + 3 98) Objective: (1.1) Find equations of parallel and perpendicular lines. 2

Solve the compound inequalit. Graph the solution set. 99) 13 4t + 29 99) A) [2, 6] -3-2 -1 0 1 2 3 4 6 7 8 9 11 B) (2, 6) -3-2 -1 0 1 2 3 4 6 7 8 9 11 C) [-6, -2] -11 - -9-8 -7-6 - -4-3 -2-1 0 1 2 3 D) (-6, -2) -11 - -9-8 -7-6 - -4-3 -2-1 0 1 2 3 Objective: (16.1) Solve compound inequalities containing ʺand.ʺ m0-20 Solve the absolute value equation. 0) + 3 = 6 A) -9, 3 B) 9, 3 C) -3 D) Objective: (16.2) Solve absolute value equations. m0-21 Solve the inequalit. Graph the solution set. 1) + 18 < 9 A) (-27, -9) 0) 1) B) (9, 27) -2-20 -1 - - 0 1 1 20 2 30 3 40 4 0 C) (-, -9) -30-2 -20-1 - - 0 D) (-, -27) -4-40 -3-30 -2-20 -1 - - Objective: (16.3) Solve absolute value inequalities of the form X < a. m0-22 26

2) + 3 > 4 A) (-, -7) (1, ) 2) B) (-1, 7) - 0 1 20 2 30 3 C) (-7, 1) 0 1 20 2 30 3 40 D) (1, ) - 0 1 20 2 30 3-0 1 20 2 30 3 Objective: (16.3) Solve absolute value inequalities of the form X > a. m0-23 Graph the inequalit. 3) + -2 3) - - - - A) B) - - - - - - - - 27

C) D) - - - - - - - - Objective: (16.4) Graph a linear inequalit in two variables. Find the square root. Assume that all variables represent positive real numbers. 4) 16 4) A) 4 B) 4 C) 16 D) 4 2 Objective: (17.1) Find square roots. m0-24 Use radical notation to write the epression. Simplif if possible. ) 26 1/4 A) 4 B) 16 C) 64 D) 24 Objective: (17.2) Understand the meaning of a^(1/n). m0-27 6) (243 2 ) 1/ A) 3 B) 243 C) 3 2 D) 3 Objective: (17.2) Understand the meaning of a^(1/n). ) 6) Simplif the radical epression. Assume that all variables represent positive real numbers. 7) 20 A) 2 B) 2 C) D) 4 Objective: (17.3) Simplif radicals. 7) 8) 27 A) 11 B) 27 C) D) 2 11 Objective: (17.3) Simplif radicals. 8) 9) 320k 7 q 8 A) 8k 3 q 4 k B) 8k 7 q 8 k C) 8k 3 q 4 D) 8q 4 k 7 9) Objective: (17.3) Simplif radicals. 1) 320k 7 q 8 A) 8k 3 q 4 k B) 8k 7 q 8 k C) 8k 3 q 4 D) 8q 4 k 7 1) Objective: (17.3) Simplif radicals. m0-29 28

111) 3 12 4 111) A) 8 3 2 B) 3 2 C) 8 3 D) 8 2 Objective: (17.3) Simplif radicals. m0-30 Add or subtract. Assume all variables represent positive real numbers. 112) 20-24 A) - B) 9 C) -2 D) - Objective: (17.4) Add or subtract radical epressions. 112) Rationalize the denominator and simplif. Assume that all variables represent positive real numbers. - 6 113) + 6 113) A) 2 30-11 B) 11-2 30 C) 11 + 2 30 D) -11-2 30 Objective: (17.) Rationalize denominators having two terms. Rationalize the numerator and simplif. Assume all variables represent positive real numbers. 114) + 6-6 19 A) 31-6 19 B) 31 + 6 31 C) 1 D) 19-6 114) Objective: (17.) Rationalize numerators. Solve. 11) + 4 = 8 A) 60 B) 64 C) 68 D) 144 Objective: (17.6) Solve equations that contain radical epressions. m0-33 Perform the indicated operation. Write the result in the form a + bi. 116) 8 + 7i 9-2i A) 8 8 + 79 8 i B) 8 77-79 86 i C) 77 8-47 8 i D) 86 77-79 77 i 11) 116) Objective: (17.7) Divide comple numbers. m0-37 Use the square root propert to solve the equation. 117) ( - )2 = 36 A) 11, -1 B) -1, -11 C) 6, -6 D) 41 Objective: (18.1) Use the square root propert to solve quadratic equations. m0-38 Solve the equation b completing the square. 118) 2 + 4-21 = 0 A) 3, -7 B) -3, 7 C), -1 D) -14, -7 Objective: (18.1) Solve quadratic equations b completing the square. 117) 118) 29

Use the quadratic formula to solve the equation. 119) 2-2 - 48 = 0 A) - 6, 8 B) 6, -8 C) 6, 8 D) -48, 0 Objective: (18.2) Solve quadratic equations b using the quadratic formula. 119) 120) 2 + 24 + 144 = 0 A) -12, 12 B) -12 C) 12 - i, 12 + i D) 12 Objective: (18.2) Solve quadratic equations b using the quadratic formula. m0-39 121) 2 + 18 + 70 = 0 A) -9-11, -9 + 11 B) 9 + 11 C) 9-70, 9 + 70 D) -18 + 70 Objective: (18.2) Solve quadratic equations b using the quadratic formula. 120) 121) 122) 2 + 18 + 70 = 0 A) 9 + 11 B) -18 + 70 C) 9-70, 9 + 70 D) -9-11, -9 + 11 Objective: (18.2) Solve quadratic equations b using the quadratic formula. m0-40 123) 2-8 + 20 = 0 A) 4-2i, 4 + 2i B) 4-4i, 4 + 4i C) 4 + 2i D) 6, 2 Objective: (18.2) Solve quadratic equations b using the quadratic formula. m0-41 122) 123) 124) 22-7 - 9 = 0 124) A) 2 9, 1 B) 9 2, -1 C) 2 9, 0 D) 2 9, -1 Objective: (18.2) Solve quadratic equations b using the quadratic formula. m0-42 Sketch the graph of the quadratic function. Give the verte and ais of smmetr. 12) f() = 2-12) - - - - 30

A) verte (0, -); ais = 0 B) verte (-, 0); ais = - - - - - - - - - C) verte (, 0); ais = D) verte (0, ); ais = 0 - - - - - - - - Objective: (18.) Graph quadratic functions of the form f() = ^2 + k. 126) f() = 2-4 126) - - - - 31

A) verte (0, -4); ais = 0 B) verte (4, 0); ais = 4 - - - - - - - - C) verte (-4, 0); ais = -4 D) verte (0, 4); ais = 0 - - - - - - - - Objective: (18.) Graph quadratic functions of the form f() = ^2 + k. m0-44 127) f() = ( + )2 127) - - - - 32

A) verte (-, 0); ais = - B) verte (, 0); ais = - - - - - - - - C) verte (0, ); ais = 0 D) verte (0, -); ais = 0 - - - - - - - - Objective: (18.) Graph quadratic functions of the form f() = ( - h)^2. 128) f() = ( - 6)2-3 128) - - - - 33

A) verte (6, -3); ais = 6 B) verte (-6, -3); ais = -6 - - - - - - - - C) verte (3, -6 ); ais = 3 D) verte (-3, 6); ais = -3 - - - - - - - - Objective: (18.) Graph quadratic functions of the form f() = ( - h)^2 + k. 129) f() = -32 129) - - - - 34

A) verte (0, 0); ais = 0 B) verte (0, 0); ais = 0 - - - - - - - - C) verte (0, 0); ais = 0 D) verte (0, -3); ais = 0 - - - - - - - - Objective: (18.) Graph quadratic functions of the form f() = a^2. Find the verte of the graph of the quadratic function. 130) f() = 2 + 6-4 A) (-3, -13) B) (3, 23) C) (6, 68) D) (-3, -31) Objective: (18.6) Find the verte of the graph of a quadratic function. 130) 131) f() = - 2 - + 9 A) (-, 34) B) (, -66) C) (-, 9) D) (, -16) Objective: (18.6) Find the verte of the graph of a quadratic function. 131) 132) f() = 7 2 + 14-9 A) (-1, -16) B) (1, 12) C) (-2, ) D) (2, 47) Objective: (18.6) Find the verte of the graph of a quadratic function. 132) 3

Match the function with its graph. 133) f() = 2 + 4 - A) B) 133) - - - - - - (-2, -9)- - (2, -9) C) D) (2, 9) (-2, 9) - - - - - - - - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 36

134) f() = 2 + 6 + A) B) 134) - - - - (-3, -4) - - (3, -4) - - C) D) (3, 4) (-3, 4) - - - - - - - - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 37

13) f() = - 2-6 - A) B) 13) (-3, 4) - - - - - - (3, -4) - - C) D) (3, 4) - - - - - (-3, -4) - - - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 38

136) f() = 2 + 6 A) B) 136) (-3, 9) - - - - - - (-3, -9) - - C) D) (3, 9) - - - - - - - (3, -9) - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 39

137) f() = - 2-6 A) B) 137) (-3, 9) - - - - - - - (-3, -9) - C) D) (3, 9) - - - - - - - (3, -9) - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. 40

138) f() = 2-4 A) B) 138) (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. 41

139) f() = 2-8 + 7 A) B) 139) - - - - - - - (4, -9) (-4, -9) - C) D) (-4, 9) (4, 9) - - - - - - - - Objective: (18.6) Graph a quadratic function and find the verte, intercepts, and direction of opening. Graph the eponential function. 140) f() = 4 140) - - - - 42

A) B) - - - - - - - - C) D) - - - - - - - - Objective: (19.3) Graph eponential functions. 141) f() = 4 + 1 141) - - - - 43

A) B) - - - - - - - - C) D) - - - - - - - - Objective: (19.3) Graph eponential functions. 142) f() = 1 2 142) - - - - 44

A) B) - - - - - - - - C) D) - - - - - - - - Objective: (19.3) Graph eponential functions. The graph of an eponential function is given. Match the graph to one of the following functions. 143) 143) - - - - A) f() = 4 B) f() = 4 + 2 C) f() = 4 + 2 D) f() = 4-2 Objective: (19.3) Graph eponential functions. 4

144) 144) - - - - A) f() = 1 B) f() = C) f() = - D) f() = - 1 Objective: (19.3) Graph eponential functions. Write the first five terms of the sequence whose general term is given. 14) an = n - 4 A) -3, -2, -1, 0, 1 B) -4, -3, -2, -1, 0 C) -1, 0, 1, 2, 3 D) -16, -12, -8, -4, 0 Objective: (21.1) Write the terms of a sequence given its general term. 14) 146) an = n 2 - n A) 0, 2, 6, 12, 20 B) 2, 6, 12, 20, 30 C) 1, 4, 9, 16, 2 D) 0, 3, 8, 1, 24 Objective: (21.1) Write the terms of a sequence given its general term. 147) an = 2n - 2 A) 0, 2, 4, 6, 8 B) 0, 1, 2, 3, 4 C) 4, 6, 8,, 12 D) 0, -2, -4, -6, -8 Objective: (21.1) Write the terms of a sequence given its general term. 146) 147) 46

Answer Ke Testname: AAM032020181T4HIGHSCHOOL147 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) C 28) B 29) C 30) A 31) A 32) A 33) A 34) A 3) A 36) A 37) A 38) A 39) A 40) A 41) A 42) A 43) B 44) A 4) A 46) A 47) A 48) A 49) A 0) A 47

Answer Ke Testname: AAM032020181T4HIGHSCHOOL147 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) A 9) A 96) A 97) A 98) A 99) A 0) A 48

Answer Ke Testname: AAM032020181T4HIGHSCHOOL147 1) A 2) A 3) A 4) A ) A 6) A 7) A 8) A 9) A 1) A 111) A 112) A 113) A 114) A 11) A 116) A 117) A 118) A 119) A 120) B 121) A 122) D 123) A 124) B 12) A 126) A 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 49