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Alg1 C1-C2
09th Algebra1 C1/C2
| Term | Definition | Example |
|---|---|---|
| expression | a math phrase with numbers and operations but no equal sign | 23 + 10 |
| variable | letters standing for unknown values | x |
| algebraic expression | a math phrase that mixes numbers, operations, and variables | 2x + 3 |
| cube root | a number that, when multiplied by itself, and then multiplied by itself again, equals a given number. | |
| perfect cube | the result of multiplying a number by itself three times | |
| conjecture | an unproven statement about a general mathematical concept | collatz conjecture |
| rule/theorem | a proven statement about a general mathematical concept | Pythagorean theorem |
| equation | a statement that two expressions are equal | 2 + 2 = 4 |
| linear equation in one variable | An equation that can be written in the form ax + b = 0, where a and b are constants and a does not equal 0 | x +3 = 7 |
| solution | a value that makes an equation true | 4 + x = 8, x = 4 |
| inverse operations | two operations that undo each other, such as addition and subtraction | + and - |
| equivalent equations | Equations that have the same solution(s) | |
| mean | the sum of a numerical data set divided by the number of data values | 2 + 4 + 6 = 12/3 = 4 |
| identity | an equation that is true for all values of the variable | 2(x + 3) = 2x + 6 |
| absolute value equation | an equation that contains an absolute value expression | |
| extraneous solution | an apparent solution that must be rejected because it does not satisfy the original equation | |
| literal equation | an equation that has two or more variables | d = rt |
| formula | a literal equation that shows how one variable is related to one or more other variables | Area = lw |
| inequality | a mathematical sentence that compares expressions | 2x + 10 > 12 |
| solution of an inequality | a value that makes an inequality true | |
| solution set | the set of all solutions of an inequality | |
| graph of an linear inequality | the graph in two variables that shows all the solutions of the inequality in a coordinate plane | |
| absolute deviation | the absolute value of the difference of a number 'x' and a given value | |
| absolute value inequality | an inequality that contains an absolute value expression | |
| compound inequality | an inequality formed by joining two inequalities with the word "and" or the word "or" | |
| equivalent inequalities | inequalities that have the same solutions |