Across
- 2. a value that makes a math statement true. Example: x = 4 works for 4x + 3 = 19. Sentence: Check the value by putting it back into the original statement.
- 5. a rule that multiplies a number across each part inside parentheses. Example: 3(x + 4) = 3x + 12. Sentence: Use this rule to remove parentheses before combining parts.
- 8. a mathematical statement showing two sides are equal. Example: 4x + 3 = 19. Sentence: Write a math statement with an equals sign to represent the situation.
- 9. the number that multiplies a letter in a product. Example: 4 is the number paired with x in 4x. Sentence: The number next to a letter shows how many groups of that quantity there are.
- 12. pairs of actions that undo each other. Example: addition and subtraction. Sentence: Use opposite actions to keep both sides balanced while working.
- 14. how much a quantity grows or shrinks compared to the original amount. Example: multiplying by 1.25 shows a 25 percent increase. Sentence: Change the amount by a certain percent to find the new total.
- 15. a mathematical phrase made of numbers, symbols, and operations but no equals sign. Example: 3(x + 2). Sentence: Write a mathematical phrase for the cost when each pack costs a fixed amount plus three extra items.
- 19. a mathematical statement that compares two amounts using symbols like < or >. Example: 3x + 5 < 20. Sentence: Use this type of statement when amounts are not exactly equal.
- 20. a connection between two quantities where one is always a constant multiple of the other. Example: y = 3x. Sentence: When the ratio stays the same, the two quantities change together.
- 22. find the value that makes a math statement true. Example: 4x + 3 = 19 leads to x = 4. Sentence: Work step by step until the letter stands alone.
- 23. a drawing, expression, or equation that represents a real situation. Example: cost = price × number of items + fee. Sentence: Create a representation of the situation before solving.
- 24. a picture that shows two sides balanced to represent equality. Example: shapes on both sides of a hanger that weigh the same. Sentence: Remove the same amount from each side to keep the balance.
- 25. two mathematical phrases that always have the same value for any number used in place of the letter. Example: 2(x + 3) and 2x + 6. Sentence: Show two different forms that produce the same result no matter what number is used.
Down
- 1. all values that make a comparison statement true. Example: all numbers greater than 4. Sentence: Show every possible value that makes the statement correct.
- 3. write a sum as a product by taking out a common number or symbol. Example: 12x − 8 becomes 4(3x − 2). Sentence: Rewrite the phrase as multiplication by pulling out a shared part.
- 4. a visual display of values using a line with points and shading. Example: a shaded line starting at 2 and going right. Sentence: Use a line picture to show all answers clearly.
- 6. replace a letter with a number. Example: put 5 in place of x in 3x + 2. Sentence: Replace the letter with the value to check your work.
- 7. a single number, a symbol, or a product of numbers and symbols in a mathematical phrase. Example: In 4x + 3, the parts are 4x and 3. Sentence: Identify each part of the phrase so you can combine or simplify them correctly.
- 10. a value that does not change. Example: 3 in 4x + 3. Sentence: This number shifts the total by a fixed amount.
- 11. add or subtract parts with matching letter portions. Example: 6x − 2x becomes 4x. Sentence: Put together matching parts to make the phrase easier to work with.
- 13. remove parentheses by multiplying. Example: 5(x + 1) becomes 5x + 5. Sentence: Multiply to rewrite the phrase without parentheses.
- 16. a bar drawing that shows quantities and their relationships. Example: one long bar split into equal pieces labeled with a letter. Sentence: Draw a bar picture to help turn the story into a math statement.
- 17. a letter that represents an unknown number. Example: In 4x + 3, the letter stands for a value that can change. Sentence: Let x be the number of stickers each student gets; write an expression to show the total.
- 18. rewrite a mathematical phrase in a shorter or clearer form by combining parts and doing arithmetic. Example: 5x + 2x + 7 becomes 7x + 7. Sentence: Make the phrase shorter by adding matching parts first.
- 21. parts of a mathematical phrase that have identical letter portions and can be combined. Example: 4x and −2x. Sentence: Combine parts with matching letters to make the phrase shorter.