algebra crossword puzzle

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Across
  1. 8. A mathematical phrase containing numbers, variables, and operators (like \(+\) or \(-\)) but no equal sign (e.g., \(8x - 9y\)).
  2. 11. The value of a variable that makes an equation true, or the solution to a polynomial equation.
  3. 12. A mathematical statement asserting that two expressions are equal, featuring an equals sign (e.g., \(4x - 7 = 5\)).
  4. 13. Any number from the set of whole numbers and their opposites, including negative numbers, zero, and positive numbers (\(\dots, -2, -1, 0, 1, 2, \dots\)).
  5. 14. A number used to multiply a variable; it is the numerical part in front of a variable, such as the '4' in \(4x\).
  6. 15. An algebraic expression consisting of one or more terms, specifically with non-negative integer exponents (e.g., \(3x^2 - 2x + 1\)).
Down
  1. 1. A fixed value that does not change, usually a number on its own (e.g., in \(4x + 3\), 3 is the constant).
  2. 2. A polynomial expression with exactly two unlike terms, such as \(4a^2 + 3b\).
  3. 3. A number or expression that divides another number or expression exactly.
  4. 4. A single number, a variable, or numbers and variables multiplied together, separated by \(+\) or \(-\) signs.
  5. 5. The intersection point of the \(x\)-axis and \(y\)-axis on a coordinate plane, with coordinates \((0,0)\).
  6. 6. A number that indicates how many times a base number is used as a factor (e.g., in \(x^{3}\), 3 is the exponent).
  7. 7. A symbol (usually a letter like \(x\) or \(y\)) that represents an unknown or changeable number.
  8. 9. A mathematical sentence that compares two expressions using signs like \(<, >, \le, \ge, \ne\).
  9. 10. A polynomial expression with only one term, such as \(4a^{2}\).