Review Chapter 3 Fundamentals of Algebra Mathematical Expressions
Review Chapter 3 Fundamentals of Algebra
Mathematical Expressions • Combine numbers and variable in a valid way using operations of Addition, Subtraction, Multiplication, , division, exponentiation, and other operations. • Example • 2 a x + 5 y 2 2 p - 7
Translating words in mathematical expressions Addition sum more than Multiplication product times Subtraction difference less than Division quotient divide
Evaluating Algebraic Expressions • Replace the variable with the given value • Follow the order of operations to simplify
Simplifying Algebraic Expressions • Multiply the numbers and variables • Use the distributive property.
Combining Like Term • Like terms • Same variable, same exponent • Combine • Add the numbers, leave the variable • Application • Perimeter of rectangle
Solving equations • Combine like terms • Isolate the variable so that thee variable is on one side of the equation.
Chapter 4 Fractions
Equivalent Fractions • Represent the save value. • Reducing fractions. • Divide by a form of one • Higher terms • Multiply by form of one
Multiply fractions • Multiply the numerator and denominator • Area • Paralogram • Triangle
Divide Fractions • Change the division to multiply and take the reciprocal of the second fraction. • Follow the multiplication rule.
Multiply, Divide Mixed Fractions • Mixed fraction to Improper fraction. • Improper fraction to Mixed fraction. • Change the mixed fraction to improper fraction • Change the division to multiplication • Follow the multiplication rule.
Addition, Subtraction Fractions • Same denominator • Add or subtract the numerator. • Different denominator • • Find the common denominator Rewrite each fraction with the common denominator Work with the numerators Reduce.
Addition, Subtraction Mixed Fractions • Change to improper fractions • Find common denominator • Write equivalent fraction that have the common denominator • Add the numerators. • Operate with the whole numbers and fractions separately.
Order of operations with fractions • Grouping symbols • Exponents • Multiplication, division from left to right • Addition, subtraction from left to right
Complex fraction • Get a single fraction in the numerator and denominator • Add, subtract the numerator and denominators. • Divide • Reduce • OR • Find the Common denominator for all the denominators • Multiply each fraction with the common denominator • Simplify the numerator and denominator • Reduce
Complex Fraction •
Polynomial • Trapezoid • Area
Solving Equations with Fractions • Find the common denominator • Multiply both sides of the equal sign with the common denominator • Solve the equation.
Example •
Questions? ? ? • ? ?
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