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8 CCSSM EXPRES & EQU
8th MATH COMMON CORE EXPRESSIONS AND EQUATIONS - COMPLETE
Term | Definition |
---|---|
laws of exponents | The exponent of a number says how many times to use the number in a multiplication. |
power | The ____________ of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. |
perfect square | A number made by squaring a whole number. 16 is a ______________________ because 4 squared = 16; 25 is also a_____________ because 5 squared = 25, etc |
perfect cube | the result of multiplying a number three times by itself |
root | Where a function equals zero. In this example, −2 and 2 are the _______ of the function x squared− 4 |
square root | a value that, when multiplied by itself, gives the number. |
cube root | a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the ____________ of 27 is 3. |
scientific notation | Where a number is written in two parts: First: just the digits (with the decimal point placed after the first digit), followed by: ×10 to a power that will put the decimal point back where it should be. |
standard form of number | A general term meaning "written down in the way most commonly accepted" It depends on the subject: For numbers it means "Expanded Form" (such as 125 = 100+20+5) For equations it means the form: (some expression) = 0 For a quadratic equation it means th |
unit rate | a rate that has a denominator of 1 unit |
proportional relationships | When two quantities always have the same size in relation to each other. In other words they have the same ratio. Example: A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: • 40m of that rope weighs 2kg; • 200m of that rope |
slope | How steep a straight line is. Also called "gradient". Ratio of the rise (vertical change) to the run (horizontal change) between any two points on a line. |
vertical | In an up-down direction or position. Upright. Example: trees grow in a ___________ direction. |
horizontal line | line is one which runs from left to right across the page |
intersecting lines | lines that cross at exactly one point. |
parallel lines | Two lines on a plane that never meet. They are always the same distance apart. |
coefficient | A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a _____________________________. |
distributive property | states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. It says that if a, b, and c are real numbers, then: a x (b + c) = (a x b) + (a x c) |
like terms | Terms whose variables (and their exponents such as the 2 in x2) are the same. Example: 7x and 2x are ____________ because the variables are both "x" |
substitution | In Algebra , this means putting numbers where the letters are. Example: What is x + x/2 when x=5? Put "5" where "x" is: 5 + 5/2 = 5 + 2.5 = 7.5 |
system of linear equations similar | Two or more equations working together. |