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Algebra 1 Vocabulary
All terms and know-how for Algebra 1!
Term | Definition |
---|---|
Coefficient | The number a variable is being multiplied by. |
Arithmetic | A sequence that has a common difference and is linear. |
Geometric | A sequence that has a common ratio and is exponential. |
Slope | The rate of change for a linear function. Rise/run. |
Slope Formula | y2 - y1/x2 - x1 |
Slope-Intercept Form | y = mx + b |
Y-Intercept | Where the line intersects the y-axis. |
X-Intercept | Where the line intersects the x-axis. |
Translation | A change in the y-intercept from one function to another. (slide) |
Rotation | A change in the slope from one function to another. (turn) |
Greater Than | > |
Less Than | < |
Less Than or Equal to | Closed circle, shading to the left. |
Greater Than or Equal to | Closed circle, shading to the right. |
Absolute Value | The distance from zero on a number line. |
Natural Numbers | The counting numbers. 1,2,3... |
Whole Numbers | The counting numbers, and 0. 0,1,2,3... |
Integers | Whole numbers and their opposites. ...-3,-2,-1,0,1,2,3... |
Rational Numbers | Any number that can be written as a fraction, where the denominator does not equal 0. 3/4, 0.45, 0.33333... |
Irrational Numbers | Any number that cannot be written as a fraction. The decimal does not repeat or terminate. pi, 0.734564827... , the square root of an imperfect square. |
Standard Form | Ax + By = C |
Function | A special relation where each input value has exactly one output value. |
Relation | A set of ordered pairs. |
Independent Variable | The x-values of a function. They do not rely on the y-values. |
Dependent Variable | The y-values of a function. They rely on the x-values. |
Input | The x-values of a function that determine the y-values. |
Output | The y-values of a function that are determined by the x-values. |
Order of Operations | The way of simplifying expressions correctly. PEMDAS |
Multiplication Properties of Exponents | Keep the base and add the exponents. |
Division Properties of Exponents | Keep the base and subtract the exponents. |
Power Properties of Exponents | Keep the base and multiply the exponents. |
Like Terms | Terms with the same variable and exponent. |
Parallel Lines | Lines with the same slope. |
Perpendicular Lines | Lines with the opposite/reciprocal slope. |
Polynomial | A group of terms |
Constant | A number that does not change. 2y + 6 ... 6 is this. |
Proportional Relationship | A special relationship where a linear function crosses at the origin. |
Quadrant I | Both x and y are positive values in this quadrant. |
Quadrant II | x is negative and y is positive in this quadrant. |
Quadrant III | Both x and y are negative in this quadrant. |
Quadrant IV | x is positive and y is negative in this quadrant. |
Origin | The point (0,0) is referred to as this. |
Pythagorean Theorem | The distance between two points can be found using this. a squared + b squared = c squared |
Sum | The answser to an addition problem. |
Difference | The answer to a subtraction problem. |
Product | The answer to a multiplication problem. |
Quotient | The answer to a division problem. |
x-axis | The horizontal axis. |
y-axis | The vertical axis. |
Prime Number | A number greater than 1 with only two factors, itself and 1. |
Composite Number | greater |
Triangle | A polygon with 3 sides. |
Quadrilateral | A polygon with 4 sides. |
Pentagon | A polygon with 5 sides. |
Hexagon | A polygon with 6 sides. |
Heptagon | A polygon with 7 sides. |
Octagon | A polygon with 8 sides. |
Nonagon | A polygon with 9 sides. |
Decagon | A polygon with 10 sides. |
Diameter | The distance from one outer part of a circle to another, while passing through the center. |
Radius | The distance from the outside to the middle of a circle. |
Circumference | The distance around a circle. |
Area | How many square units are inside of a polygon. |
Perimeter | The distance around a polygon. |
Nearest Tenth | When 0.878 is rounded to 0.9; it is rounded to this place value. |
Nearest Hundredth | When 0.7684 is rounded to 0.77; it is rounded to this place value. |
Nearest Thousandth | When 0.7684 is rounded to 0.768; it is rounded to this place value. |
Nearest Whole | When 4.67 is rounded to 5; it is rounded to this place value. |
Nearest Ten | When 18 is rounded to 20; it is rounded to this place value. |
Nearest Hundred | When 564 is rounded to 600; it is rounded to this place value. |