Name Decide if the statement is true or false. 1. -4 is a solution of 5x = -21. Decide whether the following is an expression or an equation. 2. 6(6x + 2) - 3(3x - 2) 3. 4(5x + 5) = 8(6x - 6) Solve the equation. 4. 5(y + 4) = 6(y - 6) 5. p 4-3p 8 = 4 Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. 6. -20s - 168 + 5(4s + 35) = 0 1
Solve the equation for y. 7. 5x + 8y = 5 Solve the problem. 8. A chemical solution contains 8% salt. How much salt is in 4 ml of solution? Round your answer to three decimal places, if necessary. 9. A printer priced at $574 is sold for $490. What was the percent of price reduction? Round to the nearest tenth of a percent, if necessary. Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. 10. 83 less than a number Use the variable x for the unknown, and write an equation representing the verbal sentence. Then solve the problem. 11. Four times a number added to 8 times the number equals 60. Solve the problem. 12. Gloria collected 18 fantail and comet goldfish. There were 10 fewer fantails than comets. How many comets did Gloria have? 2
Solve the mixture problem. 13. How many liters of a 10% alcohol solution must be mixed with 90 liters of a 50% solution to get a 20% solution? Solve the problem. 14. In a recent school board election, the two candidates for president received 1957 votes. The loser received 1269 fewer votes than the winner. How many votes did the winner receive? Solve the inequality. Give the solution set in both interval and graph forms. 15. -10a + 12 > -11a + 10 16. -17 < 5b + 3 3 Solve the problem. 17. Jim has gotten scores of 77 and 75 on his first two tests. What score must he get on his third test to keep an average of 75 or greater? 3
Solve the equation. 18. b + 9 = 8 Solve the inequality and graph the solution set. 19. 3 - x 5 20. 8 - x 8 Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. 21. 4x - 1 + 5 < -1 Solve the equation or inequality. 22. -9x + 8 > -9 23. x - 8 0 4
Name the quadrant, if any, in which the point is located. 24. (-13, -7) Complete the table for the equation. 25. y = -x + 2 x y 9 2 0 26. y + 3x = -16 x y -6 32 0 Graph the equation by determining the missing values needed to plot the ordered pairs. 27. y - x = -1; (4, ), (, 6), (3, ) 5
Find the x- and y-intercepts. Then graph the equation. 28. 3x - 18y = 18 Find the midpoint of the segment with the given endpoints. 29. (2, -1) and (-8, 2) 30. (1.8, -4.4) and (6.7, 3.3) Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. 31. (-7, -9) and (-5, -8) 6
Find the slope of the line. 32. Find the slope of the line and sketch the graph. 33. 3x - 5y = -4 7
Graph the line described. 34. Through (0, 6); m = 1 2 Find the slope and the y-intercept of the line. 35. 4x - 5y = 5 Decide whether the pair of lines is parallel, perpendicular, or neither. 36. 3x - 8y = -20 and 32x + 12y = 11 37. The line through (3, -5) and (-1, 7) and the line through (6, -13) and (-2, 11) Find an equation of the line passing through the two points. Write the equation in standard form. 38. (-6, 0) and (-2, 5) 8
Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. 39. Through (-3, 8); perpendicular to -3x + 4y = -23 Graph the linear inequality in two variables. 40. x - y > -2 Graph the compound inequality. 41. 2x + y 4 and x - 1 > 0 9
Graph the solution set of the inequality in the rectangular coordinate plane. 42. x + 1 < 4 Decide whether the relation is a function. 43. {(-8, 2), (-8, 8), (-1, -3), (4, 3), (8, 3)} 44. -5 10-13 -17 Decide whether the relation is a function, and give the domain and range. 45. Determine whether the relation defines y as a function of x. Give the domain. 46. 2x = 5-5y 10
Solve the problem. 47. Find f(4) when f(x) = x2 + 2x - 4. 48. Find g(a - 1) when g(x) = 3x - 3. Evaluate the function. 49. Find f(12) f Decide whether the relation is a function, and give the domain and range. 50. Evaluate the function. 51. Find f(-4). x y = f(x) 5 2 2-1 -1-4 -4-7 -7-10 11
52. The graph of y = f(x) is shown below. Find f(2) An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). 53. 5x - 6y = 5 Graph the linear function. Give the domain and range. 54. g(x) = x - 2 12
55. f(x) = 1 5 x - 1 56. h(x) = 3 13
Solve the problem. 57. Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. Is this the graph of a function? What is the domain? 14
Answer Key Testname: MATH 0312 - EXAM 1 - REVIEW QUESTIONS 1. False Objective: (1.1) Decide If Number Is Solution to Equation (T/F) 2. Expression Objective: (1.1) Decide If Expression or Equation 3. Equation Objective: (1.1) Decide If Expression or Equation 4. {56} Objective: (1.1) Solve Linear Equation in One Variable 5. {-32} Objective: (1.1) Solve Linear Equation with Fractions 6. Contradiction; Objective: (1.1) Decide If Conditional/Identity/Contradiction 7. y = 5-5x 8 Objective: (1.2) Solve Equation for y 8. 0.32 ml Objective: (1.2) Solve Apps: Percents 9. 14.6% Objective: (1.2) Solve Apps: Percent Increase/Decrease 10. x - 83 Objective: (1.3) Translate Phrase into Mathematical Expression 11. 8x + 4x = 60; 5 Objective: (1.3) Translate Sentence into Equation 12. 14 comets Objective: (1.3) Solve Apps: Numbers 13. 270 liters Objective: (1.3) Solve Apps: Mixtures 14. 1613 votes Objective: (1.3) Solve Apps: Numbers 15. (-2, ) 18. {-1, -17} Objective: (1.7) Solve Absolute Value Equation 19. (-, -2] [8, ) Objective: (1.7) Solve and Graph Absolute Value Inequality (> or ) 20. [0, 16] Objective: (1.7) Solve and Graph Absolute Value Inequality (< or ) 21. Objective: (1.7) Isolate Abs Value Expression and Solve Eqn or Inequal 22. (-, ) Objective: (1.7) Solve Special Case Absolute Value Eqn or Inequality 23. {8} Objective: (1.7) Solve Special Case Absolute Value Eqn or Inequality 24. III Objective: (2.1) Name Quadrant in Which Point is Located 25. -7; 0; 2 Objective: (2.1) Complete Table of Ordered Pairs for Equation 26. 2; -16; -16 Objective: (2.1) Complete Table of Ordered Pairs for Equation 27. Objective: (1.5) Solve Inequality 16. (-4, 0] Objective: (1.5) Solve Three-Part Inequality 17. At least 73 Objective: (1.5) Solve Apps: Linear Inequalities Objective: (2.1) Graph Equation by Completing Ordered Pairs 1
Answer Key Testname: MATH 0312 - EXAM 1 - REVIEW QUESTIONS 28. (6, 0); (0, -1) 34. Objective: (2.2) Graph Line Given Point and Slope Objective: (2.1) Find Intercepts and Graph Equation 29. - 3, 1 2 Objective: (2.1) Find Midpoint of Given Segment 30. 4.25, -0.55 Objective: (2.1) Find Midpoint of Given Segment 31. 1 2 ; rises 32. - 2 5 Objective: (2.2) Find Slope Given Two Points and State Nature of Slope Objective: (2.2) Find Slope of Line Given Graph 33. Slope: 3 5 35. Slope 4 ; y-intercept (0, -1) 5 Objective: (2.3) Find Slope and y-intercept Given Equation 36. Perpendicular Objective: (2.2) Decide if Lines are Parallel/Perpendicular/Neither 37. Parallel Objective: (2.2) Decide if Lines are Parallel/Perpendicular/Neither 38. 5x - 4y = -30 Objective: (2.3) Find Standard Form Given Two Points 39. y = - 4 3 x + 4 40. Objective: (2.3) Find Equation of Parallel or Perpendicular Line Objective: (2.2) Find Slope of Line and Sketch Graph Given Equation Objective: (2.4) Graph Linear Inequality 2
Answer Key Testname: MATH 0312 - EXAM 1 - REVIEW QUESTIONS 41. 42. Objective: (2.4) Graph Compound Inequality (And) 49. 7 Objective: (2.6) Evaluate Function (Ordered Pairs, Mappings, Tables, Graphs) 50. Not a function; domain: [-4, 6]; range: [-6, -4] Objective: (2.5) Decide If Graph Is Function and Give Domain, Range 51. -7 Objective: (2.6) Evaluate Function (Ordered Pairs, Mappings, Tables, Graphs) 52. -4 Objective: (2.6) Evaluate Function (Ordered Pairs, Mappings, Tables, Graphs) 53. f(x) = 5-5x -6 Objective: (2.6) Write Equation in Function Notation 54. Domain: (-, ) Range: (-, ) Objective: (2.4) Graph Absolute Value Inequality 43. Not a function Objective: (2.5) Decide If Relation Is Function (Ordered Pairs) 44. Function Objective: (2.5) Decide if Relation Is Function (Mapping, Tables) 45. Function; domain: (-, ); range: [1, ) Objective: (2.5) Decide If Graph Is Function and Give Domain, Range 46. Function; domain: (-, ) Objective: (2.5) Decide if Equation Is Function and Give Domain 47. 20 Objective: (2.6) Evaluate Function 48. 3a - 6 Objective: (2.6) Evaluate Function Objective: (2.6) Graph Linear Function and Give Domain, Range 3
Answer Key Testname: MATH 0312 - EXAM 1 - REVIEW QUESTIONS 55. Domain: (-, ) Range: (-, ) Objective: (2.6) Graph Linear Function and Give Domain, Range 56. Domain: (-, ) Range: {3} Objective: (2.6) Graph Linear Function and Give Domain, Range 57. Function; Domain: [2007, 2011] Objective: (2.6) Solve Apps: Functions 4