Mathematics

• What are the fundamental operations on integers?

  Addition, Subtraction, Multiplication, Division
• What should be considered when adding or subtracting integers?

  Whether the numbers have the same or different signs
• What are the steps for adding or subtracting two numbers with the same sign?

  1. Add the absolute values of the numbers.
  2. Keep the common sign of the numbers.
• What are the steps for adding or subtracting two numbers with different signs?

  1. Find the absolute values of the numbers.
  2. Subtract the smaller absolute value from the larger.
  3. Keep the original sign of the larger absolute value.
• How do you multiply or divide two signed numbers?

  Multiply/divide absolute values and determine the sign
• What is the rule for multiplying integers with the same sign?

  The result is always positive.
• What is the rule for multiplying integers with different signs?

  The result is negative.
• What is the commutative property of addition?

  𝑥 + 𝑦 = 𝑦 + 𝑥
• What is the associative property of multiplication?

  �� × (𝑦 × 𝑧) = (�� × ��) × 𝑧
• What does the identity property of addition state?

  �� + 0 = 𝑥
• What does the closure property of integers indicate?

  Results of addition and multiplication are integers.
• What is the GCF?

  Greatest Common Factor
• What is the LCM?

  Least Common Multiple
• What is a ratio?

  A comparison between two positive quantities.
• What is a proportion?

  A statement of equality between two ratios.
• What is the product rule of exponents?

  𝑥^𝑎 ⋅ ��^𝑏 = 𝑥^{𝑎+b}
• What is the zero exponent rule?

  𝑥^0 = 1
• What is the process for adding polynomials?

  Add like terms to combine polynomials.
• What is the result of multiplying two polynomials?

  Results in a polynomial with a higher degree.
• What is the first step in dividing polynomials?

  Write the polynomial in descending order of degree.
• What is factorization using common factors?

  Finding the highest common factor of terms.
• What is the square of a binomial identity?

  (𝑎 + 𝑏)² = 𝑎² + 2𝑎𝑏 + 𝑏²
• What does the term "complementary angles" refer to?

  Two angles whose sum is 90 degrees.
• What is the definition of a polygon?

  A closed figure made up of segments.
• What is the perimeter of a polygon?

  Sum of all the sides of a polygon.
• What is the area of a plane figure?

  Amount of space covered by the figure.
• What is the volume of a solid figure?

  Amount of space covered by the solid.
• What is a right triangle?

  A triangle with one right angle.
• How does the graphical method solve linear equations?

  By graphing equations and finding intersection points
• What is the elimination method in solving linear equations?

  Adding or subtracting equations to eliminate a variable
• What is the substitution method for solving linear equations?

  Solving one equation for a variable and substituting
• What is the cross-multiplication method?

  A method for solving two-variable linear equations
• What is the matrix method for solving linear equations?

  A method using matrices for multiple variables
• What are the three undefined terms in geometry?

  Point, line, and plane
• What is a theorem in geometry?

  A statement that must be proved
• What is a corollary?

  A theorem that follows from another theorem
• What is the definition of supplementary angles?

  Two angles whose sum is 180 degrees
• What is the definition of parallel lines?

  Lines that do not intersect
• What is the definition of perpendicular lines?

  Lines that intersect at 90 degrees
• What is the definition of an interior angle?

  An angle located inside a polygon