General Mathematics:
Example Problems
Part I
Section 1.1
- Section 1.1 Objective A Pg. 1-4 Writing Whole Numbers
- Section 1.1 Objective A Part 2 Pg. 1-5 Place Value of a Digit
- Section 1.1 Objective B Pg. 1-6 Writing Whole Numbers in Expanded Notation
- Section 1.1 Objective C Pg. 1-7 Graphing Whole Numbers on Number Line
- Section 1.1 Objective D Pg. 1-9 Round a Whole Number
- Section 1.1 Objective E Pg. 1-13 Read Whole Number on a Bar Graph
Section 1.2
- Section 1.2 Objective A Pg. 1-19 Understand the Basic Mathematics Facts
- Section 1.2 Objective B Pg. 1-21 Carry to Regroup a Number
- Section 1.2 Objective C Pg. 1-23 Adding Large Numbers
Section 1.3
- Section 1.3 Objective A Pg. 1-32 Understand the Basic Subtraction Fact
- Section 1.3 Objective B Pg.1-34 Borrow to Regroup a Number
- Section 1.3 Objective C Pg. 1-37 Subtract Large Numbers
- Section 1.3 Objective D Pg. 1-38 Subtract Several Numbers
Section 1.4
- Section 1.4 Objective A Pg. 1-47 Understand the Basic Multiplication Facts
- Section 1.4 Objective B Pg. 1-49 Multiply a One-Digit Number and a Two-Digit Number
- Section 1.4 Objective C Pg. 1-52 Multiply by a Power of 10
- Section 1.4 Objective D Pg. 1-53 Multiply Large Numbers
- Section 1.4 Objective E Pg. 1-56 Multiply a List of Factors
Section 1.5
- Section 1.5 Objective A pg. 1-65 Understand the Basic Division Facts
- Section 1.5 Objective B pg. 1-68 Perform Long Division with a Remainder
- Section 1.5 Objective C pg. 1-73 Estimate Quotients
- Section 1.5 Objective D pg. 1-75 Divide by a Large Number
Section 1.6
- Section 1.6 Objective A pg. 1-83 Evaluate Expressions with Exponents
- Section 1.6 Objective B pg. 1-86 Simplify Expressions with Groupings
- Section 1.6 Objective C pg. 1-88 Evaluate Expression Using the Order of Operations
Section 1.7
- Section 1.7 Objective A pg. 1-98 Understand Prime Numbers
- Section 1.7 Objective B pg. 1-103 Find the Factorization of a Number
- Section 1.7 Objective C pg. 1-107 Find Multiples of a Number
Section 1.8
- Section 1.8 Objective A pg. 1-112 Find the Greatest Common by Listing Factors
- Section 1.8 Objective B pg. 1-115 Find the Least Common Multiple by Listing Multiples
- Section 1.8 Objective C pg. 1-117 Find the GCF and LCM by Factoring
Section 1.9
Section 2.1
- Section 2.1 Objective A pg. 2.3 Represent a Picture as a Fraction
- Section 2.1 Objective B pg. 2.5 Represent a Fraction as a Picture
- Section 2.1 Objective C pg. 2.6 Relate Improper Fractions to their pictures
- Section 2.1 Objective D pg. 2.9 Compare Fractions by Visualizing Them
- Section 2.1 Objective E pg. 2.11 Compare Fractions with Same Numerator or Denominator
Section 2.2
- Section 2.2 Objective A pg. 2.22 Simplify a Fraction
- Section 2.2 Objective B pg. 2.27 Multiply Two Fractions
- Section 2.2 Objective C pg. 2.30 Build Equivalent Fractions
- Section 2.2 Objective D pg. 2.33 Use a Fraction to Convert Units of Measure
Section 2.3
- Section 2.3 Objective A pg. 2.44 Find the Reciprocal of a Number
- Section 2.3 Objective B Part I pg. 2.46 Divide One Fraction by Another
- Section 2.3 Objective B Part II pg. 2.50 Using the Order of Operations
Section 2.4
- Section 2.4 Objective A pg. 2.56 Add and Subtract Like Fractions
- Section 2.4 Objective B pg. 2.59 Build Like Fractions by Listing Multiples
- Section 2.4 Objective C pg. 2.63 Add and Subtract Unlike Fractions, Apply Objective B
- Section 2.4 Objective D pg. 2.66 Build Like Fractions by Factoring
- Section 2.4 Objective E pg. 2.70 Add and Subtract Unlike Fractions, Apply Objective D
Section 2.5
Section 2.6
- Section 2.6 Objective A pg. 2.91 Convert a Improper Fraction to an Mixed Number
- Section 2.6 Objective B pg. 2.94 Convert a Mixed Number to an Improper Fraction
- Section 2.6 Objective C pg. 2.98 Multiply and Divide Mixed Numbers
- Section 2.6 Objective D pg. 2.11 Add Mixed Numbers
- Section 2.6 Objective E pg. 2.102 Subtract Mixed Numbers
Section 3.1
- Section 3.1 Objective A pg. 3.3 Understand the Place Values of Decimal Numbers
- Section 3.1 Objective B pg. 3.5 Write Decimal Numbers in Words
- Section 3.1 Objective C pg. 3.7 Convert Between Numbers in Words
- Section 3.1 Objective D pg. 3.9 Rounds Decimal Numbers
- Section 3.1 Objective E pg. 3.12 Order Decimal Numbers
Section 3.2
Section 3.3
- Section 3.3 Objective A pg. 3.28 Multiple One-digit decimal numbers
- Section 3.3 Objective B pg. 3.29 Multiply any two decimal numbers
- Section 3.3 Objective C pg. 3.31 Multiply by powers of 10
- Section 3.3 Objective D pg. 3.33 Estimate Products
- Section 3.3 Objective E pg. 3.35 Use Pi to Find the Circumference of a Circle
Section 3.4
- Section 3.4 Objective A pg. 3.43 Setting up a division exercise with decimals
- Section 3.4 Objective B pg. 3.45 Divide by one- digit division
- Section 3.4 Objective C pg. 3.48 Write a fraction or mixed number as a decimal
- Section 3.4 Objective D pg. 3.50 Estimate Quotients
- Section 3.4 Objective E pg. 3.52 Dividing by a multi-digit divisor
Section 4.1
- Section 4.1 Objective A Pg 4.2 Write Ratios
- Section 4.1 Objective B Pg 4.7 Write Rates and Unit Rates
Section 4.2
- Section 4.2 Objective A Pg 4.19 Write a Proportion
- Section 4.2 Objective B Pg 4.21 Determine is a statement is a proportion
- Section 4.2 Objective C Pg 4.26 Solve a Proportion
Section 4.3
Part II
Section 5.1
- General Mathematics 5.1 Objectives A pg. 5.3 Visualize Percents
- General Mathematics 5.1 Objective B pg. 5.7 Convert a Percent to a Fraction
- General Mathematics 5.1 Objective C pg. 5.9 Convert a fraction or Mixed Number to a percent
- General Mathematics 5.1 Objective D pg. 5.13 Convert between a percent and a decimal
Section 5.2
- General Mathematics 5.2 Objective A pg. 5.29 Translate a Written Statement into a Percent Proportion
- General Mathematics 5.2 Objectives B pg. 5.33 Solve a Percent Exercise
Section 5.3
- General Mathematics 5.3 Objective A PG 5.42 Translate a Written Statement into a Percent Equation
- General Mathematics 5.3 Objective B PG 5.47 Solve a Percent Equation
Section 5.4
Section 6.1
- General Mathematics Sect 6.1 Objective A PG 6.2 Understand the US System of Measure for Length and Time
- General Mathematics Sect 6.1 Objective B PG 6.4 Understand the US System of Measure for Weight and Measure
- General Mathematics Sect 6.1 Objective C PG 6.5 Convert Units of Measure in the US System
Section 6.2
- General Mathematics Sect 6.2 Objective A PG 6.15 Understand the Metric System Units of Measure for Length, Volume, and Weight
- General Mathematics Sect 6.2 Objective B Convert Units of Measure in the Metric System
Section 6.3
Section 7.1
- General Mathematics Section 7.1 Objective A PG 7.3 Understand angles and their measures
- General Mathematics Section 7.1 Objective C PG 7.7 Solve for Unknown Angles Using Angle Relationships
Section 7.2
- General Mathematics Section 7.2 Objective A PG 7.15 Classify polygons and find their perimeters
- General Mathematics Section 7.2 Objective B PG 7.18 Classify Quadrilaterals
- General Mathematics Section 7.2 Objective C PG 7.20 Classify Triangles
Section 7.3
- General Mathematics Section 7.3 Objective A PG 7.27 Understand Perimeter
- General Mathematics Section 7.3 Objective B PG 7.29 Understand Area
- General Mathematics Section 7.3 Objective C PG 7.33 Use Formulas to Find Area
Section 7.4
- General Mathematics Section 7.4 Objective A PG 7.41 Find the Circumference of a Circle
- General Mathematics Section 7.4 Objective B PG 7.43 Find the Area of a Circle
- General Mathematics Section 7.4 Objective C PG 7.45 Find the Area and Perimeter of a Composite Figure
Section 7.5
- General Mathematics Section 7.5 Objective A PG 7.53 Understand Volume
- General Mathematics Section 7.5 Objective B PG 7.56 Find the Volume of Common Figures
Section 7.6
- General Mathematics Section 7.6 Objective A PG 7.63 Evaluate the Square Root of a Perfect Square
- General Mathematics Section 7.6 Objective B PG 7.65 Approximate their Square Root of a Number
- General Mathematics Section 7.6 Objective C PG 7.67 Use the Pythagorean Theorem
Section 7.7
Section 9.1
- General Mathematics Section 9.1 Objective A PG 9.3 Represent Real World Quantities with Signed Numbers
- General Mathematics Section 9.1 Objective B PG 9.5 Graph Signed Numbers on a Number Line
- General Mathematics Section 9.1 Objective C PG 9.6 Compare Signed Numbers
- General Mathematics Section 9.1 Objective D PG 9.8 Simplify Opposite Numbers
- General Mathematics Section 9.1 Objective E PG 9.9 Find the Absolute Value of a Number
Section 9.2
- General Mathematics Section 9.2 Objective A PG 9.17 Add Numbers with the Same Sign
- General Mathematics Section 9.2 Objective B PG 9.20 Add Numbers with Opposite Signs
- General Mathematics Section 9.2 Objective C PG 9.25 Subtract Signed Numbers
- General Mathematics Section 9.2 Objective D Pg 9.27 Add and Subtract Signed Numbers Using a Number Line
Section 9.3
- General Mathematics Section 9.3 Objective A PG 9.38 Multiply Two Signed Numbers
- General Mathematics Section 9.3 Objective B PG 9.42 Divide Two Signed Numbers
- General Mathematics Section 9.3 Objective C PG 9.43 Multiply or Divide Several Signed Numbers
- General Mathematics Section 9.3 Objective D PG 9.46 Evaluate an Exponential Expression Involving Signed Numbers
Section 9.4
Section 10.1
- General Mathematics Section 10.1 Objective A PG 10.3 Write Variable Expressions
- General Mathematics Section 10.1 Objective B PB 10.4 Evaluate Variable Expressions
- General Mathematics Section 10.1 Objective C PG 10.6 Understand the Vocabulary of Variable Expressions
Section 10.2
- General Mathematics Section 10.2 Objective A PG 10_15 Simplify Variable Expressions by Combining Like Terms
- General Mathematics Section 10.2 Objective B PG 10.19 Simplify Variable Expressions Using Multiplication
- General Mathematics Section 10.2 Objective C PG 10_20 Simplify Variable Expressions Using the Order of Operations
Section 10.3
- General Mathematics Section 10.3 Objective A PG 10.28 Determine if a number is a solution to an equation
- General Mathematics Section 10.3 Objective B PG 10.29 Use Inverse Operations to Isolate a variable
- General Mathematics Section 10.3 Objective C PG 10.31 Solve Equations of the form x + a = b
- General Mathematics Section 10.3 Objective D PG 10.34 Solve Equations of the form ax = b
Section 10.4
- General Mathematics Section 10.4 Objective A PG 10.41 Solve Equations using the addition property of equations
- General Mathematics Section 10.4 Objective B Solve Equations using the addition and multiplication properties of equations
- General Mathematics Section 10.4 Objective C Solving Equations that can be simplified