Math Crossword

2. A mathematical phrase that can contain numbers, variables, and operators (like +, -), but no equals sign. Example: 3y - 7
3. An equation that has exactly one numerical answer for the variable. Example: x = 5.
5. A mathematical statement that shows two expressions are equal. It contains an equals sign (=). Example: 2x + 5 = 11
9. on Both Sides, An equation where the unknown variable appears on both sides of the equals sign. The first step is usually to move all variable terms to one side.
10. Operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations. We use these to solve equations.
12. A number that multiplies a variable. In the term 5x, the coefficient is 5.
13. The process of replacing a variable with a numerical value to check if it is a solution to an equation. Plugging the solution back in should make the equation true.
14. The goal of solving an equation. To get the variable by itself on one side of the equals sign, usually through the use of inverse operations.
16. An equation that has no possible answer. When solved, the result is a false statement (e.g., 5 = 0). The equation is never true.
19. A fixed value that does not change. It is a number on its own. In the expression 2x + 9, the constant is 9.
20. The fundamental principle for solving equations: whatever operation is done to one side of the equation must be done to the other side to keep it balanced or equal.

1. An equation that is true for all possible values of the variable. When solved, the result is a true statement (e.g., 2 = 2). The two sides of the equation are identical.
4. An equation that requires more than one operation (e.g., combining like terms, using the distributive property, then using inverse operations) to solve.
6. Terms, Terms that have the exact same variables raised to the same exponents. Their coefficients can be different. Example: 3x and -8x are like terms; 2y and 2y² are not.
7. A single number, a variable, or numbers and variables multiplied together. Terms are separated by + or - signs. Example: The expression 4x² - x + 6 has three terms.
8. A property that states a(b + c) = ab + ac. It is used to multiply a term across terms inside parentheses. Example: 3(x + 4) = 3*x + 3*4 = 3x + 12
11. To perform all possible operations in an expression or equation to rewrite it in its most basic or compact form. This often involves combining like terms.
15. The set of whole numbers and their negatives: {..., -3, -2, -1, 0, 1, 2, 3, ...}.
17. Number, Any number that can be written as a fraction a/b where a and b are integers and b ≠ 0. This includes integers, fractions, terminating decimals, and repeating decimals.
18. A symbol (usually a letter) that represents an unknown number or a value that can change. Examples: x, a, n