ALGEBRA I UNIT 1: FOUNDATIONS OF ALGEBRA

1. a numerical value; a term containing no variables
4. to find the numerical value of
8. property a(b + c) = ab + ac, or a(b - c) = ab - ac
10. terms terms that have the same variable(s), with each variable raised to the same exponent
12. replacing a quantity with its equal
13. the constant preceding the variables in a product
16. property a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
18. property a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
20. a letter or symbol used to represent an unknown
21. the number which is repeated as a factor in an exponential expression
23. expression a mathematical expression containing one or more variables

2. identity the number 0 (for the real numbers)
3. inverse the reciprocal of a number; if x is a number other than zero, then 1/x is the multiplicative inverse; the product of a number and its multiplicative inverse is 1
5. a mathematical phrase that cannot be determined true or false
6. inverse the opposite or negative of a number; the sum of a number and its additive inverse is zero
7. number a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on
9. number a number belonging to the set made up of zero and the natural numbers
11. value the distance from zero on the number line
14. a number belonging to the set made up of the whole numbers and their opposites
15. number a number with an infinite decimal representation that does not repeat
17. number a number that can be written as a ratio of two integers in the form A/B with B ≠ 0
19. a number or a variable, or an indicated product of a number and variable(s)
22. the (superscript) number in an exponential expression; it tells how many times a factor is repeated