Math 0312 EXAM 1 Review Questions 1. 4 is a solution of 5x

Math 0312 EXAM 1 Review Questions

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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. p4

-3p8

= 4

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.6. -20s - 168 + 5(4s + 35) = 0

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Math 0312 EXAM 1 Review QuestionsSolve 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? Roundto the nearest tenth of a percent, if necessary.

Translate the verbal phrase into a mathematical expression. Use x to represent the unknownnumber.

10. 83 less than a number

Use the variable x for the unknown, and write an equation representing the verbal sentence. Thensolve 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?

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Math 0312 EXAM 1 Review QuestionsSolve the mixture problem.

13. How many liters of a 10% alcohol solution must be mixed with 90 liters of a 50% solutionto 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 winnerreceive?

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?

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Math 0312 EXAM 1 Review QuestionsSolve 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 setnotation. 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

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Math 0312 EXAM 1 Review QuestionsName the quadrant, if any, in which the point is located.

24. (-13, -7)

Complete the table for the equation.25. y = -x + 2

x y920

26. y + 3x = -16

x y-6

320

Graph the equation by determining the missing values needed to plot the ordered pairs.27. y - x = -1; (4, ), ( , 6), (3, )

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Math 0312 EXAM 1 Review QuestionsFind 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, indicatewhether the line through the points rises from left to right, falls from left to right, is horizontal, oris vertical.

31. (-7, -9) and (-5, -8)

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Math 0312 EXAM 1 Review QuestionsFind the slope of the line.

32.

Find the slope of the line and sketch the graph.33. 3x - 5y = -4

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Math 0312 EXAM 1 Review QuestionsGraph the line described.

34. Through (0, 6); m = 12

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)

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Math 0312 EXAM 1 Review QuestionsFind 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

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Math 0312 EXAM 1 Review QuestionsGraph 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.-510

-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

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Math 0312 EXAM 1 Review QuestionsSolve 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 22 -1

-1 -4-4 -7-7 -10

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Math 0312 EXAM 1 Review Questions52. 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 withthe function notation f(x).

53. 5x - 6y = 5

Graph the linear function. Give the domain and range.54. g(x) = x - 2

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Math 0312 EXAM 1 Review Questions

55. f(x) = 15

x - 1

56. h(x) = 3

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Math 0312 EXAM 1 Review QuestionsSolve the problem.

57. Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows thenumber of cars sold as a function of time. Is this the graph of a function? What is thedomain?

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Answer KeyTestname: MATH 0312 - EXAM 1 - REVIEW QUESTIONS

1. FalseObjective: (1.1) Decide If Number Is Solution to Equation

(T/F)

2. ExpressionObjective: (1.1) Decide If Expression or Equation

3. EquationObjective: (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 - 5x8

Objective: (1.2) Solve Equation for y

8. 0.32 mlObjective: (1.2) Solve Apps: Percents

9. 14.6%Objective: (1.2) Solve Apps: Percent Increase/Decrease

10. x - 83Objective: (1.3) Translate Phrase into Mathematical

Expression

11. 8x + 4x = 60; 5Objective: (1.3) Translate Sentence into Equation

12. 14 cometsObjective: (1.3) Solve Apps: Numbers

13. 270 litersObjective: (1.3) Solve Apps: Mixtures

14. 1613 votesObjective: (1.3) Solve Apps: Numbers

15. (-2, )

Objective: (1.5) Solve Inequality

16. (-4, 0]

Objective: (1.5) Solve Three-Part Inequality

17. At least 73Objective: (1.5) Solve Apps: Linear Inequalities

18. {-1, -17}Objective: (1.7) Solve Absolute Value Equation

19. (- , -2] [8, )

Objective: (1.7) Solve and Graph Absolute ValueInequality (> or )

20. [0, 16]

Objective: (1.7) Solve and Graph Absolute ValueInequality (< 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. IIIObjective: (2.1) Name Quadrant in Which Point is Located

25. -7; 0; 2Objective: (2.1) Complete Table of Ordered Pairs for

Equation

26. 2; -16; -16Objective: (2.1) Complete Table of Ordered Pairs for

Equation

27.

Objective: (2.1) Graph Equation by Completing OrderedPairs

1


28. (6, 0); (0, -1)

Objective: (2.1) Find Intercepts and Graph Equation

29. - 3, 12

Objective: (2.1) Find Midpoint of Given Segment

30. 4.25, -0.55Objective: (2.1) Find Midpoint of Given Segment

31. 12

; rises

Objective: (2.2) Find Slope Given Two Points and StateNature of Slope

32. -25

Objective: (2.2) Find Slope of Line Given Graph

33. Slope: 35

Objective: (2.2) Find Slope of Line and Sketch GraphGiven Equation

34.

Objective: (2.2) Graph Line Given Point and Slope

35. Slope 45

; y-intercept (0, -1)

Objective: (2.3) Find Slope and y-Intercept GivenEquation

36. PerpendicularObjective: (2.2) Decide if Lines are

Parallel/Perpendicular/Neither

37. ParallelObjective: (2.2) Decide if Lines are

Parallel/Perpendicular/Neither

38. 5x - 4y = -30Objective: (2.3) Find Standard Form Given Two Points

39. y = -43

x + 4

Objective: (2.3) Find Equation of Parallel or PerpendicularLine

40.

Objective: (2.4) Graph Linear Inequality

2


41.

Objective: (2.4) Graph Compound Inequality (And)

42.

Objective: (2.4) Graph Absolute Value Inequality

43. Not a functionObjective: (2.5) Decide If Relation Is Function (Ordered

Pairs)

44. FunctionObjective: (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. 20Objective: (2.6) Evaluate Function

48. 3a - 6Objective: (2.6) Evaluate Function

49. 7Objective: (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. -7Objective: (2.6) Evaluate Function (Ordered Pairs,


52. -4Objective: (2.6) Evaluate Function (Ordered Pairs,


53. f(x) = 5 - 5x-6

Objective: (2.6) Write Equation in Function Notation

54. Domain: (- , )Range: (- , )

Objective: (2.6) Graph Linear Function and Give Domain,Range

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55. Domain: (- , )Range: (- , )


56. Domain: (- , )Range: {3}


57. Function; Domain: [2007, 2011]Objective: (2.6) Solve Apps: Functions

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Math 0312 EXAM 1 Review Questions 1. 4 is a solution of 5x