03 Review Solve the inequalit. Graph the solution set and write it in interval notation. 1) -2(4-9) < - + 2 Use the slope-intercept form to graph the equation. 8) 6 + = 0 Objective: (2.8) Solve Linear Inequalities Solve. 2) Five less than three times a number is less than ten. Find all such numbers. Objective: (2.8) Solve Inequalit Applications 3) Three-fourths a number decreased b one is between negative four and fifteen. Find all such numbers. Objective: (2.8) Solve Inequalit Applications Determine whether the equation is a linear equation in two variables. 4) 9 = - 9 Objective: (3.2) Identif Linear Equations ) 32 = 2-9 Objective: (3.2) Identif Linear Equations Complete the ordered pair so that it is a solution of the given linear equation. 6) 4 + = -23 (-8, ), (0, ), (1, ) Objective: (3.1) Find the Missing Coordinate of an Ordered Pair Solution, Given One Coordinate of the Pair Identif the intercepts. 7) - - - - Objective: (3.3) Identif Intercepts of a Graph - - - - Objective: (3.) Use the Slope-Intercept Form to Graph a Linear Equation Find the slope of the line that passes through the given points. 9) (3, 4) and (8, 2) Objective: (3.4) Find the Slope of a Line Given Two Points of the Line Find the domain and the range of the relation. ) {(7, ), (-8, 0), (-, -), (1, -8)} Objective: (3.6) Identif Relations, Domains, and Ranges Determine whether the relation is also a function. 11) {(-6, 8), (-2, -9), (4, -3), (7, 1)} Objective: (3.6) Identif Functions Evaluate the function. 12) Find f(-2) when f() = 2-2 +. Objective: (3.6) Use Function Notation Find the domain of the function. 6 13) g() = + 7 Objective: (3.6) Use Function Notation 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? 14) - 4 = 6 = 20 + 30 Objective: (4.1) Without Graphing, Determine the Number of Solutions of a Sstem 1
Solve the sstem of equations b graphing. 1) + 2 = -1 3-2 = 13 Solve the sstem of equations b the substitution method. 21) - = -2 6-6 = 36 Objective: (4.2) Use the Substitution Method to Solve a Sstem of Linear Equations - - - - Solve the sstem of equations b the addition method. 22) + 4 = 23 8 + 4 = 16 Objective: (4.3) Use the Addition Method to Solve a Sstem of Linear Equations Find the domain of the rational epression. 4 23) f() = 3 - Objective: (4.1) Solve a Sstem of Linear Equations b Graphing Simplif the rational epression. 7-42 16) 2-12 Objective: (7.1) Simplif Rational Epressions Perform the indicated operation. Simplif if possible. 17) 2-7 + - 2-7 + Objective: (7.3) Add and Subtract Rational Epressions with Common Denominators Find the quotient and simplif. ( + 9)( + 6) 3 + 27 18) 2 64 Objective: (7.2) Divide Rational Epressions 19) ( + 2) 2-11 + 18 9 - Objective: (7.2) Divide Rational Epressions Find the domain of the rational epression. 20) f() = 2-18 2 Objective: (7.1) Find the Domain of a Rational Epression Objective: (7.1) Find the Domain of a Rational Epression Perform the indicated operation. Simplif if possible. 3 + 6 24) 2-4 + 3-2 + 9 2-4 + 3 Objective: (7.3) Add and Subtract Rational Epressions with Common Denominators Simplif the rational epression. 36-6 2) 30 - Objective: (7.1) Simplif Rational Epressions Find the least common denominator (LCD). 9 26) 3 + 24, 2 + 8 27) Objective: (7.3) Find the Least Common Denominator of a List of Rational Epressions 1 2 + 4 + 4, 1 2 + 2 Objective: (7.3) Find the Least Common Denominator of a List of Rational Epressions Perform the indicated operation. Simplif if possible. 7 28) + 3-8 + 1 Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators 2
29) 3-4 + 19 4 - Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators Solve the equation. 30) 2 + 8 = 16 Objective: (7.) Solve Equations Containing Rational Epressions 31) 24 = - 1 Objective: (7.) Solve Equations Containing Rational Epressions 32) - 6 8 = + 6 6 Objective: (7.) Solve Equations Containing Rational Epressions Solve the equation for the indicated variable. A 33) P = for t 1 + rt Objective: (7.) Solve Equations Containing Rational Epressions for a Specified Variable Solve the proportion. 34) + 6 = + 8 3 6 Objective: (7.6) Solve Proportions Solve. 3) The ratio of a quarterback's completed passes to attempted passes is 2 to. If he attempted 1 passes, find how man passes he completed. Round to the nearest whole number if necessar. Objective: (7.6) Use Proportions to Solve Problems 36) The scale on a map states that 1 centimeter corresponds to 0 kilometers. On the map, two cities are 1.9 cm apart. Find the actual distance. Objective: (7.6) Use Proportions to Solve Problems Simplif. 37) 38) 32 4 1 Objective: (7.7) Simplif Comple Fractions b Simplifing the Numerator and Denominator and Then Dividing 92-492 3-7 Objective: (7.7) Simplif Comple Fractions b Simplifing the Numerator and Denominator and Then Dividing -2 39) -2 - -2 Objective: (7.7) Simplif Epressions with Negative Eponents 40) -7-1 + (3)-1-2 Graph the function. Objective: (7.7) Simplif Epressions with Negative Eponents 41) f() = - 6 + 8 - - - - Objective: (8.1) Graph Linear Functions 3
Write an equation of the line with the given slope and containing the given point. Write the equation using function notation. 42) Slope 2; through (-2, 3) 46) f() = - 4 Objective: (8.1) Write an Equation of a Line Using Function Notation Find an equation of the line passing through the given points. Use function notation to write the equation. 43) (2, 20), (9, 76) Objective: (8.1) Write an Equation of a Line Using Function Notation - - - - Graph the function. 44) f() = + 2 - - - Solve. 47) The amount of water used to take a shower is directl proportional to the amount of time that the shower is in use. A shower lasting 17 minutes requires 11.9 gallons of water. Find the amount of water used in a shower lasting 9 minutes. Objective: (8.4) Solve Problems Involving Direct - 4) h() = 2 + 4 - - - - If varies inversel as, find the inverse variation equation for the situation. 48) = when = 6 Objective: (8.4) Solve Problems Involving Inverse Write an equation to describe the variation. Use k for the constant of proportionalit. 49) s varies jointl as t and the cube of u. Objective: (8.4) Solve Problems Involving Joint 0) r varies directl as the square of s and inversel as t. Objective: (8.4) Solve Problems Involving Combined Perform the indicated operation. Simplif if possible. 1 1) 4-12 + 2-9 Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators 4
List the elements of the set. 2) If A = { is an odd integer} and B = {21, 23, 24, 26}, list the elements of A B. A) { is an odd integer or = 24 or = 26} B) {21, 23} C){ is an odd integer} D) { } Objective: (9.1) Find the Intersection of Two Sets Solve the compound inequalit. Graph the solution set. 3) 1 t + 30 7) -2-4 -8 - - - - Objective: (9.1) Solve Compound Inequalities containing "and" List the elements of the set. 4) If A = { is an odd integer} and B = {29, 31, 32, 34}, list the elements of A B. Objective: (9.1) Find the Union of Two Sets Solve the compound inequalit. Graph the solution set. ) 6-4 < 2 or -4-12 Objective: (9.4) Graph a Linear Inequalit in Two Variables Find the square root. Assume that all variables represent positive real numbers. 8) 9 Find the cube root. Objective: (.1) Find Square Roots 9) 3 12 276 Objective: (.1) Find Cube Roots Objective: (9.1) Solve Compound Inequalities containing "or" Graph the inequalit. 6) + -4 60) 3-271224 Objective: (.1) Find Cube Roots Find the root. Assume that all variables represent nonnegative real numbers. 61) 4 16816 Objective: (.1) Find nth Roots - - - - Use radical notation to write the epression. Simplif if possible. 1 1/2 62) 16 Objective: (.2) Understand the Meaning of a^(1/n) Objective: (9.4) Graph a Linear Inequalit in Two Variables Write with positive eponents. Simplif if possible. 63) 81-3/2 Objective: (.2) Understand the Meaning of a^(-m/n)
Use radical notation to write the epression. Simplif if possible. 64) 61/ Objective: (.2) Understand the Meaning of a^(1/n) Use the product rule to multipl. Assume all variables represent positive real numbers. 6) 3 8m3 3 27m3 Objective: (.3) Use the Product Rule for Radicals Use the quotient rule to divide and simplif. 66) 182 2 Objective: (.3) Use the Quotient Rule for Radicals Simplif the radical epression. Assume that all variables represent positive real numbers. 67) 42 Objective: (.3) Simplif Radicals 68) 24 3 18 Objective: (.3) Simplif Radicals Rationalize the denominator and simplif. Assume that all variables represent positive real numbers. 7 69) + 3 Solve. Objective: (.) Rationalize Denominators Having Two Terms 70) 13 3 7 Objective: (.) Rationalize Denominators 71) 6 - - = 0 Objective: (.6) Solve Equations That Contain Radical Epressions 72) 3 + 4 - = 0 Objective: (.6) Solve Equations That Contain Radical Epressions Perform the indicated operation. Write the result in the form a + bi. 73) 4i + (-3 - i) Multipl or divide. Objective: (.7) Add or Subtract Comple Numbers 74) 3-8 7) Objective: (.7) Write Square Roots of Negative Numbers in the Form bi 9-2 Objective: (.7) Write Square Roots of Negative Numbers in the Form bi Perform the indicated operation. Write the result in the form a + bi. 76) i(2 - i) Solve. 77) Objective: (.7) Multipl Comple Numbers 8 7 + i Objective: (.7) Divide Comple Numbers 78) 4 = 7 + Objective: (11.3) Solve Various Equations That Are Quadratic in Form 79) 2 + 3 - = 1 Objective: (11.3) Solve Various Equations That Are Quadratic in Form Use the quadratic formula to solve the equation. 80) 2 + 12 + 22 = 0 Objective: (11.2) Solve Quadratic Equations b Using the Quadratic Formula 81) 82 + 1 = Objective: (11.2) Solve Quadratic Equations b Using the Quadratic Formula Use the square root propert to solve the equation. 82) 22 + 30 = 0 Objective: (11.1) Use the Square Root Propert to Solve Quadratic Equations 6
83) ( + 4)2 = Objective: (11.1) Use the Square Root Propert to Solve Quadratic Equations 7
Answer Ke Testname: 03REVIEW_REVISED2011_2 1) (-, -8) -11 - -9-8 -7-6 - Objective: (2.8) Solve Linear Inequalities 2) < Objective: (2.8) Solve Inequalit Applications 3) - 4 < < 64 3 Objective: (2.8) Solve Inequalit Applications 4) es Objective: (3.2) Identif Linear Equations ) no Objective: (3.2) Identif Linear Equations 6) (-8, 9), (0, -23), (1, -27) Objective: (3.1) Find the Missing Coordinate of an Ordered Pair Solution, Given One Coordinate of the Pair 7) (2, 0), (-2, 0), (0, -2) Objective: (3.3) Identif Intercepts of a Graph 8) - - - - Objective: (3.) Use the Slope-Intercept Form to Graph a Linear Equation 9) - 2 Objective: (3.4) Find the Slope of a Line Given Two Points of the Line ) domain: {-8, -, 7, 1} ; range: {-8, -, 0, } Objective: (3.6) Identif Relations, Domains, and Ranges 11) es Objective: (3.6) Identif Functions 12) 13 Objective: (3.6) Use Function Notation 13) (-, -7) (-7, ) Objective: (3.6) Use Function Notation 14) identical lines; infinite number of solutions Objective: (4.1) Without Graphing, Determine the Number of Solutions of a Sstem 1) (3, -2) Objective: (4.1) Solve a Sstem of Linear Equations b Graphing 16) 7 2 17) Objective: (7.1) Simplif Rational Epressions - Objective: (7.3) Add and Subtract Rational Epressions with Common Denominators 18) 3( + 6) Objective: (7.2) Divide Rational Epressions 19) - + 2-2 Objective: (7.2) Divide Rational Epressions 20) { is a real number and 0} Objective: (7.1) Find the Domain of a Rational Epression 21) (8, 2) Objective: (4.2) Use the Substitution Method to Solve a Sstem of Linear Equations 22) (-1, 6) Objective: (4.3) Use the Addition Method to Solve a Sstem of Linear Equations 23) { is a real number and 3} Objective: (7.1) Find the Domain of a Rational Epression 24) 2) 6 1-1 Objective: (7.3) Add and Subtract Rational Epressions with Common Denominators Objective: (7.1) Simplif Rational Epressions 26) 3( + 8) Objective: (7.3) Find the Least Common Denominator of a List of Rational Epressions 27) ( + 2)2 Objective: (7.3) Find the Least Common Denominator of a List of Rational Epressions 28) 27 ( + 3) Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators 8
Answer Ke Testname: 03REVIEW_REVISED2011_2 29) - 16-4 Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators 30) 0 Objective: (7.) Solve Equations Containing Rational Epressions 31) Objective: (7.) Solve Equations Containing Rational Epressions 32) - 42 Objective: (7.) Solve Equations Containing Rational Epressions 33) t = A - P Pr Objective: (7.) Solve Equations Containing Rational Epressions for a Specified Variable 34) -4 Objective: (7.6) Solve Proportions 3) 6 passes Objective: (7.6) Use Proportions to Solve Problems 36) 9 km Objective: (7.6) Use Proportions to Solve Problems 37) 24 Objective: (7.7) Simplif Comple Fractions b Simplifing the Numerator and Denominator and Then Dividing 38) 7 + 3 Objective: (7.7) Simplif Comple Fractions b Simplifing the Numerator and Denominator and Then Dividing 2 39) 2-2 Objective: (7.7) Simplif Epressions with Negative Eponents 40) -21 + 2 3 Objective: (7.7) Simplif Epressions with Negative Eponents 41) - - - - Objective: (8.1) Graph Linear Functions 42) f() = 2 + 7 Objective: (8.1) Write an Equation of a Line Using Function Notation 43) f() = 8 + 4 Objective: (8.1) Write an Equation of a Line Using Function Notation 44) 4) - - - - - - - - 9
Answer Ke Testname: 03REVIEW_REVISED2011_2 46) 6) - - - - - - - - 47) 6.3 gallons Objective: (8.4) Solve Problems Involving Direct 48) = 30 Objective: (8.4) Solve Problems Involving Inverse 49) s = ktu3 Objective: (8.4) Solve Problems Involving Joint 0) r = ks 2 t 1) Objective: (8.4) Solve Problems Involving Combined 19 + 4 4( + 3)( - 3) Objective: (7.4) Add and Subtract Rational Epressions with Unlike Denominators 2) B Objective: (9.1) Find the Intersection of Two Sets 3) [2, ] -3-2 -1 0 1 2 3 4 6 7 8 9 Objective: (9.1) Solve Compound Inequalities containing "and" 4) { is an odd integer or = 32 or = 34} Objective: (9.1) Find the Union of Two Sets ) (-, 1) [3, ) 1 2 3 4 6 7 8 Objective: (9.1) Solve Compound Inequalities containing "or" 7) Objective: (9.4) Graph a Linear Inequalit in Two Variables - - - - Objective: (9.4) Graph a Linear Inequalit in Two Variables 8) 3 Objective: (.1) Find Square Roots 9) 4 32 Objective: (.1) Find Cube Roots 60) -348 Objective: (.1) Find Cube Roots 61) 224 Objective: (.1) Find nth Roots 62) 1 4 63) Objective: (.2) Understand the Meaning of a^(1/n) 1 729 Objective: (.2) Understand the Meaning of a^(-m/n) 64) 6 Objective: (.2) Understand the Meaning of a^(1/n)
Answer Ke Testname: 03REVIEW_REVISED2011_2 6) 6m2 Objective: (.3) Use the Product Rule for Radicals 66) 3 2 Objective: (.3) Use the Quotient Rule for Radicals 67) 3 Objective: (.3) Simplif Radicals 68) 43 3 3 Objective: (.3) Simplif Radicals 69) - 21 + 7-9 Objective: (.) Rationalize Denominators Having Two Terms 80) -6-14, -6 + 14 Objective: (11.2) Solve Quadratic Equations b Using the Quadratic Formula 81) - i 7, + i 7 16 16 Objective: (11.2) Solve Quadratic Equations b Using the Quadratic Formula 82) -i 1, i 1 Objective: (11.1) Use the Square Root Propert to Solve Quadratic Equations 83) -4 -, -4 + Objective: (11.1) Use the Square Root Propert to Solve Quadratic Equations 70) 133 49 7 Objective: (.) Rationalize Denominators 71) Objective: (.6) Solve Equations That Contain Radical Epressions 72) 121 Objective: (.6) Solve Equations That Contain Radical Epressions 73) -3 + 3i Objective: (.7) Add or Subtract Comple Numbers 74) 2i 6 Objective: (.7) Write Square Roots of Negative Numbers in the Form bi 7) -3i 2 2 Objective: (.7) Write Square Roots of Negative Numbers in the Form bi 76) 2 + i Objective: (.7) Multipl Comple Numbers 77) 28 2-4 2 i Objective: (.7) Divide Comple Numbers 78) 7 + 3 41 32 Objective: (11.3) Solve Various Equations That Are Quadratic in Form 79) - 1, + 1 Objective: (11.3) Solve Various Equations That Are Quadratic in Form 11