Math Terms Crossword Puzzle - WordMint - Free Printable
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Step-by-step solution for: Math Terms Crossword Puzzle - WordMint
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Show Answer Key & Explanations
Step-by-step solution for: Math Terms Crossword Puzzle - WordMint
Here's the completed Math Terms Crossword Puzzle with all answers filled in and explained.
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## ✔ ACROSS
> *Explanation:* An expression combines numbers, variables, and operators (like +, –, ×, ÷) but does NOT have an equals sign. Example: `3x + 5`.
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> *Explanation:* Polynomials are sums/differences of terms (monomials). Each term has variables with non-negative integer exponents. Example: `2x² + 3x - 7`.
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> *Explanation:* The degree of a polynomial is determined by the highest exponent among its terms. Example: In `4x³ + 2x² - x`, the degree is 3.
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> *Explanation:* When you multiply numbers or variables together, each part is called a factor. Example: In `6 = 2 × 3`, 2 and 3 are factors.
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> *Explanation:* Like terms can be combined. Example: `3x` and `5x` are like terms; `2x²` and `4x²` are like terms.
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> *Explanation:* These cannot be combined. Example: `3x` and `4y` or `2x²` and `5x`.
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> *Explanation:* Variables stand for unknown or changing values. Commonly used letters: `x`, `y`, `a`, `b`.
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> *Explanation:* “Tri-” means three. Example: `x² + 2x + 1`.
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> *Explanation:* Constants are fixed numbers. Example: In `3x + 7`, the `7` is the constant.
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> *Explanation:* Standard form helps identify the degree quickly. Example: `5x³ - 2x² + x - 4`.
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## ✔ DOWN
> *Explanation:* “Mono-” means one. Example: `7x²`, `–4`, `3ab`.
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> *Explanation:* For example, in `4x²y³`, the degree is 2 + 3 = 5.
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> *Explanation:* A term is a single unit in an expression. Examples: `5`, `x`, `3xy`, `–2a²`.
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> *Explanation:* In `7x`, `7` is the coefficient. In `–3xy`, `–3` is the coefficient.
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> *Explanation:* Equations have an equals sign (=). Example: `2x + 3 = 7`.
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> *Explanation:* “Bi-” means two. Example: `x + 5`, `3x² – 2x`.
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## 🧩 Final Answer Grid (for reference):
You can fill the crossword grid using the answers above. Here’s how the key answers fit:
- Across 3: E X P R E S S I O N
- Across 4: P O L Y N O M I A L
- Across 7: D E G R E E O F T H E P O L Y N O M I A L
- Across 10: F A C T O R S
- Across 11: L I K E T E R M S
- Across 12: U N L I K E T E R M S
- Across 13: V A R I A B L E
- Across 14: T R I N O M I A L
- Across 15: C O N S T A N T
- Across 16: S T A N D A R D F O R M
- Down 1: M O N O M I A L
- Down 2: D E G R E E O F T H E T E R M
- Down 5: T E R M S
- Down 6: C O E F F I C I E N T
- Down 8: E Q U A T I O N
- Down 9: B I N O M I A L
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✔ This puzzle reinforces foundational algebra vocabulary — perfect for middle school or early high school math students!
Let me know if you’d like a printable version or visual grid layout!
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## ✔ ACROSS
3. A mathematical phrase with operators connecting numbers and variables is an EXPRESSION.
> *Explanation:* An expression combines numbers, variables, and operators (like +, –, ×, ÷) but does NOT have an equals sign. Example: `3x + 5`.
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4. A POLYNOMIAL is an algebraic expression made by adding or subtracting terms.
> *Explanation:* Polynomials are sums/differences of terms (monomials). Each term has variables with non-negative integer exponents. Example: `2x² + 3x - 7`.
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7. The degree of the term with the greatest degree is the DEGREE OF THE POLYNOMIAL.
> *Explanation:* The degree of a polynomial is determined by the highest exponent among its terms. Example: In `4x³ + 2x² - x`, the degree is 3.
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10. Numbers or variables that form a product are FACTORS.
> *Explanation:* When you multiply numbers or variables together, each part is called a factor. Example: In `6 = 2 × 3`, 2 and 3 are factors.
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11. Terms that have the same variable(s) raised to the same exponent(s) are LIKE TERMS.
> *Explanation:* Like terms can be combined. Example: `3x` and `5x` are like terms; `2x²` and `4x²` are like terms.
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12. Terms with different variables, or the same variables raised to different exponents are UNLIKE TERMS.
> *Explanation:* These cannot be combined. Example: `3x` and `4y` or `2x²` and `5x`.
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13. A letter representing a number or value that can change or vary is a VARIABLE.
> *Explanation:* Variables stand for unknown or changing values. Commonly used letters: `x`, `y`, `a`, `b`.
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14. A three-termed polynomial is a TRINOMIAL.
> *Explanation:* “Tri-” means three. Example: `x² + 2x + 1`.
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15. A term with no variables, that’s value remains the same is a CONSTANT.
> *Explanation:* Constants are fixed numbers. Example: In `3x + 7`, the `7` is the constant.
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16. When the terms of a polynomial are ordered from highest to lowest degree is known as STANDARD FORM.
> *Explanation:* Standard form helps identify the degree quickly. Example: `5x³ - 2x² + x - 4`.
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## ✔ DOWN
1. A one-termed polynomial is a MONOMIAL.
> *Explanation:* “Mono-” means one. Example: `7x²`, `–4`, `3ab`.
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2. In a term, the sum of the exponents on the variables is the DEGREE OF THE TERM.
> *Explanation:* For example, in `4x²y³`, the degree is 2 + 3 = 5.
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5. Numbers, variables, and the products of numbers and variables are all TERMS.
> *Explanation:* A term is a single unit in an expression. Examples: `5`, `x`, `3xy`, `–2a²`.
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6. The number that a variable is being multiplied with is called the COEFFICIENT.
> *Explanation:* In `7x`, `7` is the coefficient. In `–3xy`, `–3` is the coefficient.
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8. An EQUATION is a mathematical statement that says two expressions are equal.
> *Explanation:* Equations have an equals sign (=). Example: `2x + 3 = 7`.
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9. A two-termed polynomial is a BINOMIAL.
> *Explanation:* “Bi-” means two. Example: `x + 5`, `3x² – 2x`.
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## 🧩 Final Answer Grid (for reference):
You can fill the crossword grid using the answers above. Here’s how the key answers fit:
- Across 3: E X P R E S S I O N
- Across 4: P O L Y N O M I A L
- Across 7: D E G R E E O F T H E P O L Y N O M I A L
- Across 10: F A C T O R S
- Across 11: L I K E T E R M S
- Across 12: U N L I K E T E R M S
- Across 13: V A R I A B L E
- Across 14: T R I N O M I A L
- Across 15: C O N S T A N T
- Across 16: S T A N D A R D F O R M
- Down 1: M O N O M I A L
- Down 2: D E G R E E O F T H E T E R M
- Down 5: T E R M S
- Down 6: C O E F F I C I E N T
- Down 8: E Q U A T I O N
- Down 9: B I N O M I A L
---
✔ This puzzle reinforces foundational algebra vocabulary — perfect for middle school or early high school math students!
Let me know if you’d like a printable version or visual grid layout!
Parent Tip: Review the logic above to help your child master the concept of math word crossword puzzles.