Across
- 3. a value for a variable that makes an equation true
- 7. Two numbers with a product of 1. Also known as the Multiplicative Inverse. 2/3 and 3/2 are reciprocals because they multiple to equal 6/6 which simplifies to 1.
- 10. equations that have the same solution
- 11. same distance from zero, but on opposite sides. They have a sum of zero. Example: 2 and -2 because 2 + -2 = 0 Example 3x - 1 and -3x + 1
- 18. only has variables to the first power and does not have variables multiplied or divided by other variables
- 21. a term that does not contain a variable. Example: in the expression 2x+5, 5 is the constant
- 22. Order of Operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
- 24. To get a variable alone on one side of the equation in order to solve the equation.
- 25. If you add the same number to each side of an equation, the two sides remain equal. If a = b, then a + c = b + c
- 27. If you divide each side of an equation by the same nonzero number, the two sides remain equal. if a = b and c is not equal to 0, then a/c = b/c
- 28. An equation that contains two operations
Down
- 1. two numbers with a product of 1. Also known as the Multiplicative Inverse. 2/3 and 3/2 are reciprocals because they multiple to equal 6/6 which simplifies to 1.
- 2. contain the same variables raised to the same power. Example: The 3x and 8x in the expression 3x + 2x² +5y + 8x.
- 4. the numberical factor of a term that contains a variable. Example: The 3 in the term 3x
- 5. states that the product of a number and the sum or difference of two numbers is the same as the sum or difference of their products. a(b+c) is equivalent to ab + ac Example: 2( 3 + x) = 2(3) + 2(x)
- 6. An expression expressed as the product of its factors.
- 8. A mathematical statement with variables and constants but which does not contain =, <, >, . . . . Example: 2x + 7 is one, 2x+7 = 5 is not one
- 9. Any number multiplied by its reciprocal is equal to 1
- 12. monomials separated by addition and subtraction signs in an expression. Each addition or subtraction sign in an expression starts a new one.
- 13. The largest factor that two or more numbers have in common.
- 14. If you multiply each side of an equation by the same nonzero number, the two sides remain equal. If a=b, then ac=bc
- 15. choose a variable and decide what it represents
- 16. If you subtract the same number from each side of an equation, the two sides remain equal. If a=b, then a-c=b-c
- 17. An expression that does not have like terms AND does not have parenthesis.
- 19. A mathematical sentence that contains an equals sign.
- 20. operations that undo each other
- 23. to write a number or expression as the product of its factors
- 26. A number, a variable, or the product of a number and a variable. (no addition or subtraction)