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Contemporary Mathematics

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Contemporary MathematicsChapter Test
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Table of contents
  1. Preface
  2. 1 Sets
    1. Introduction
    2. 1.1 Basic Set Concepts
    3. 1.2 Subsets
    4. 1.3 Understanding Venn Diagrams
    5. 1.4 Set Operations with Two Sets
    6. 1.5 Set Operations with Three Sets
    7. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  3. 2 Logic
    1. Introduction
    2. 2.1 Statements and Quantifiers
    3. 2.2 Compound Statements
    4. 2.3 Constructing Truth Tables
    5. 2.4 Truth Tables for the Conditional and Biconditional
    6. 2.5 Equivalent Statements
    7. 2.6 De Morgan’s Laws
    8. 2.7 Logical Arguments
    9. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Projects
      5. Chapter Review
      6. Chapter Test
  4. 3 Real Number Systems and Number Theory
    1. Introduction
    2. 3.1 Prime and Composite Numbers
    3. 3.2 The Integers
    4. 3.3 Order of Operations
    5. 3.4 Rational Numbers
    6. 3.5 Irrational Numbers
    7. 3.6 Real Numbers
    8. 3.7 Clock Arithmetic
    9. 3.8 Exponents
    10. 3.9 Scientific Notation
    11. 3.10 Arithmetic Sequences
    12. 3.11 Geometric Sequences
    13. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  5. 4 Number Representation and Calculation
    1. Introduction
    2. 4.1 Hindu-Arabic Positional System
    3. 4.2 Early Numeration Systems
    4. 4.3 Converting with Base Systems
    5. 4.4 Addition and Subtraction in Base Systems
    6. 4.5 Multiplication and Division in Base Systems
    7. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Projects
      5. Chapter Review
      6. Chapter Test
  6. 5 Algebra
    1. Introduction
    2. 5.1 Algebraic Expressions
    3. 5.2 Linear Equations in One Variable with Applications
    4. 5.3 Linear Inequalities in One Variable with Applications
    5. 5.4 Ratios and Proportions
    6. 5.5 Graphing Linear Equations and Inequalities
    7. 5.6 Quadratic Equations with Two Variables with Applications
    8. 5.7 Functions
    9. 5.8 Graphing Functions
    10. 5.9 Systems of Linear Equations in Two Variables
    11. 5.10 Systems of Linear Inequalities in Two Variables
    12. 5.11 Linear Programming
    13. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  7. 6 Money Management
    1. Introduction
    2. 6.1 Understanding Percent
    3. 6.2 Discounts, Markups, and Sales Tax
    4. 6.3 Simple Interest
    5. 6.4 Compound Interest
    6. 6.5 Making a Personal Budget
    7. 6.6 Methods of Savings
    8. 6.7 Investments
    9. 6.8 The Basics of Loans
    10. 6.9 Understanding Student Loans
    11. 6.10 Credit Cards
    12. 6.11 Buying or Leasing a Car
    13. 6.12 Renting and Homeownership
    14. 6.13 Income Tax
    15. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  8. 7 Probability
    1. Introduction
    2. 7.1 The Multiplication Rule for Counting
    3. 7.2 Permutations
    4. 7.3 Combinations
    5. 7.4 Tree Diagrams, Tables, and Outcomes
    6. 7.5 Basic Concepts of Probability
    7. 7.6 Probability with Permutations and Combinations
    8. 7.7 What Are the Odds?
    9. 7.8 The Addition Rule for Probability
    10. 7.9 Conditional Probability and the Multiplication Rule
    11. 7.10 The Binomial Distribution
    12. 7.11 Expected Value
    13. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Formula Review
      4. Projects
      5. Chapter Review
      6. Chapter Test
  9. 8 Statistics
    1. Introduction
    2. 8.1 Gathering and Organizing Data
    3. 8.2 Visualizing Data
    4. 8.3 Mean, Median and Mode
    5. 8.4 Range and Standard Deviation
    6. 8.5 Percentiles
    7. 8.6 The Normal Distribution
    8. 8.7 Applications of the Normal Distribution
    9. 8.8 Scatter Plots, Correlation, and Regression Lines
    10. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  10. 9 Metric Measurement
    1. Introduction
    2. 9.1 The Metric System
    3. 9.2 Measuring Area
    4. 9.3 Measuring Volume
    5. 9.4 Measuring Weight
    6. 9.5 Measuring Temperature
    7. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  11. 10 Geometry
    1. Introduction
    2. 10.1 Points, Lines, and Planes
    3. 10.2 Angles
    4. 10.3 Triangles
    5. 10.4 Polygons, Perimeter, and Circumference
    6. 10.5 Tessellations
    7. 10.6 Area
    8. 10.7 Volume and Surface Area
    9. 10.8 Right Triangle Trigonometry
    10. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  12. 11 Voting and Apportionment
    1. Introduction
    2. 11.1 Voting Methods
    3. 11.2 Fairness in Voting Methods
    4. 11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem
    5. 11.4 Apportionment Methods
    6. 11.5 Fairness in Apportionment Methods
    7. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  13. 12 Graph Theory
    1. Introduction
    2. 12.1 Graph Basics
    3. 12.2 Graph Structures
    4. 12.3 Comparing Graphs
    5. 12.4 Navigating Graphs
    6. 12.5 Euler Circuits
    7. 12.6 Euler Trails
    8. 12.7 Hamilton Cycles
    9. 12.8 Hamilton Paths
    10. 12.9 Traveling Salesperson Problem
    11. 12.10 Trees
    12. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Videos
      4. Formula Review
      5. Projects
      6. Chapter Review
      7. Chapter Test
  14. 13 Math and...
    1. Introduction
    2. 13.1 Math and Art
    3. 13.2 Math and the Environment
    4. 13.3 Math and Medicine
    5. 13.4 Math and Music
    6. 13.5 Math and Sports
    7. Chapter Summary
      1. Key Terms
      2. Key Concepts
      3. Formula Review
      4. Projects
      5. Chapter Review
      6. Chapter Test
  15. A | Co-Req Appendix: Integer Powers of 10
  16. Answer Key
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
    11. Chapter 11
    12. Chapter 12
    13. Chapter 13
  17. Index

Chapter Test

1.
45 is what percent of 180?
2.
Find 47% of 31. Round to two decimal places.
3.
What is the sale price of a $90 shirt if there is a 25% discount for the shirt?
4.
A small boutique buys purses for $27.50 per purse. What is the boutique’s retail price for the purses if they add a 90% markup?
5.
What was the discount on a computer is the retail price was $1,200 and the sale price is $950? Round to two decimal places if necessary.
6.
A 15% simple interest loan of $2,000 is taken out for 75 days. How much is owed when the loan is due?
7.
What is the future value of a $15,000 investment made at 4.65% interest compounded yearly for 10 years?
8.
Apply the 50-30-20 budget philosophy to a monthly income of $3,920.
9.
$2,500 is deposited in an account that bears 5.25% interest compounded quarterly for 15 years. What is the return on investment for that investment? Round to two decimal places if necessary.
10.
How much per month must be paid into an ordinary annuity so its future value is $150,000 after 10 years if the annuity earns 3.85% interest compounded monthly?
11.
Bethanie’s employer matches up to 7% of annual salary for deposits into the company sponsored IRA. Bethanie earns $62,400 annually. She deposits $8,000 annually inter her IRA. How much does the company deposit in Bethanie’s IRA?
12.
If $360 is deposited monthly in a mutual fund that is expected to earn 9.35% compounded monthly, how much will the mutual fund be worth after 23 years?
13.
A $14,250, 4-year loan is taken out at 9.15% interest. What are the monthly payments for the loan?
14.
Using the amortization table below, how much total interest has been paid after payment 20?
A spreadsheet labeled as amortization schedule calculator. The sheet calculates the repayment for the loan amount of $17,500.00 for an interest rate of 8.25 percent annually and the monthly payment is $356.93. The factors include calculations such as month, payment, principal, interest, total, and interest and balance.
15.
What is the maximum amount of federal subsidized and unsubsidized loans per year for an independent student in a graduate program?
16.
Braden takes out a private student loan for $6,250 in his second year of his undergraduate IT program. He begins paying the loan after 39 months. If Braden’s interest rate was 8%, how much is his balance when he begins to pay off the loan?
17.
The billing cycle for Therese’s credit card is July 7 to August 6 (31 days). The interest rate on the card is 17.9%. The balance on her card at the start of the billing cycle is $925.00. The table below has her transactions for the billing cycle. What is her balance due at the end of the cycle?
Date Activity Amount
7-Jul Billing Date Balance $925.00
10-Jul Child Care $850.00
10-Jul Gasoline $51.00
12-Jul Food $135.50
18-Jul Payment $750.00
18-Jul Pizza $35.00
18-Jul Gift $25.00
21-Jul Food $121.75
30-Jul Gasoline $47.50
1-Aug Department store $173.00
4-Aug Food $98.00
18.
The cost of a car is $45,750. The residual price after 2 years is $28,822.50. What is the monthly depreciation for the car?
19.
Find the payment for a 3-year lease on a car if the price of the car is $30,000, the residual price of the car is $20,000, and the APR is 8.5%.
20.
What are the monthly payments, excluding escrow, for a 20-year mortgage for $131,500 at 5.15% interest?
21.
What are the monthly payments, including escrow, for a 20-year mortgage for $131,500 at 5.15% interest, with property taxes of $3,170 per year and homeowner’s insurance of $715 every 6 months?
22.
If a person earns $2700 gross on a paycheck, how much is taken out in FICA taxes?
23.
Find the taxable income for a person who has $81,200 in earnings, $1,250 reported on a 1099-INT for a savings account, $5,400 reported on a 1099-MISC for a contract job they did, paid $5,250 in mortgage interest, paid $4,700 in property taxes, and has $4,200 in bond interest.
24.
Find the federal income tax owed by a person filing single who has a taxable income of $114,750. Use the table below to determine the taxes.
Bracket Lower Income Limit Upper Income Limit Tax Rate
1 0 $10,275 10%
2 $10,276 $41,775 12%
3 $41,776 $89,075 22%
4 $89,076 $170,050 24%
5 $170,051 $215,950 32%
6 $215,951 $539,900 35%
7 $539,901 37%
25.
If a person owes $20,000 in federal income tax, but qualifies for $4,000 in child tax credit and $8,000 for child and dependent care credit, how much federal tax does the person actually pay?
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