Math 7 - Unit 6 Vocabulary

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Across
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 12. pairs of actions that undo each other. Example: addition and subtraction. Sentence: Use opposite actions to keep both sides balanced while working.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 10. a value that does not change. Example: 3 in 4x + 3. Sentence: This number shifts the total by a fixed amount.
  7. 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.
  8. 13. remove parentheses by multiplying. Example: 5(x + 1) becomes 5x + 5. Sentence: Multiply to rewrite the phrase without parentheses.
  9. 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.
  10. 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.
  11. 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.
  12. 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.