Algebra 1

2. The value or values that satisfy an equation or inequality.
5. A number or constant multiplied by a variable in an algebraic expression.
9. An equation that is true for all values of the variable involved.
11. A branch of mathematics dealing with symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
14. A mathematical statement that compares two expressions by using signs such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
15. An expression that includes the root of a number, commonly the square root or cube root.
16. An expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
18. Value The distance of a number from zero on the number line, without considering direction. Represented as |x|.
20. A combination of individual terms separated by plus or minus signs, without an equality sign.

1. To multiply a single term by each term in an expression, typically applying the distribution property a(b + c) = ab + ac.
3. Equation A polynomial equation of the second degree, usually in the form ax² + bx + c = 0.
4. A value that does not change in an expression; it often refers to a fixed number.
6. A single element or component in an algebraic expression, which could be a constant, a variable, or multiples of variables and numbers.
7. A symbol used to represent a number in expressions or equations, often a letter like x or y.
8. Equation An equation between two variables that produces a straight line when graphed, typically in the form ax + by = c.
10. A mathematical statement that asserts the equality of two expressions, typically separated by an equals sign.
12. Indicates how many times a number, the base, is multiplied by itself, expressed as bⁿ.
13. To break down an expression into products of simpler expressions, which can often solve equations more easily.
17. Expression An expression that can be written as a fraction wherein both the numerator and the denominator are polynomials.
19. To alter an expression into its simplest form, making it easier to understand or solve.