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the numbers used for counting; 1,2,3... |
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the natural numbers AND 0, ex: 0,1,2,3... |
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all the numbers that can be written as quotients of integers |
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all the numkbers that CANNOT be written as quotients of integers |
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The natural numbers, zero, and the negative numbers. |
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Order of operations (PEMDAS) |
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Parentheses, Exponents, Multiplication, Division, addition, subtraction |
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A math sentance that compares the values of 2 expressions using an inequality symbol. |
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a pair of inequalities joined by AND or OR |
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the distance from zero on a number line |
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a solution of an equation that is NOT a solution (oh, THAT makes sense...not) |
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A set of pairs that have input and output values |
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The set of all inputs, or x coordinates, of the ordered pairs |
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the set of all outputs, or y values, of the ordered pairz |
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a relation in which each element of the domain is paired with exactly one element in the range |
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an equation of the form y=!mx+h!+K |
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the point where a function reaches a maximum or minimum |
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a system that has one unique solution and intersecting lines |
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a system that has no solutions, parallel lines |
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a system that has many solutions, coinciding lines |
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what would you do in a problem like this: 4-4x _>36 (greater than or equal to) |
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Definition
Solve it like you would a normal algebraic problem, subtract 4 from each side then divide. When shading on the line, use a closed dot and shade to the right. |
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When solving an inequality and graphing the solution (on a line) how do you know when to use a closed dot and when to use an open one? |
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closed dot= equal to open dot = normal |
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What do you do when you have a compound inequality? |
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Solve each equation on the side of the Or and then graph |
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how can you tell if a graphing the solution on a line problem is and or or? |
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Greater than = Or (greatOR than) Less than= and (Less thAN-D) |
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what do you do with an AND problem? |
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have one equation be normal and have one where the number after the inequality is the opposite of what the normal one was (pos. or neg.) |
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How do you know if a relation is a function or not? |
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Its not if it touches more than one point on a line, or if it has two repeating x values |
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what would you do in a problem like this? 2x-6y=18 |
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divide each number by 18 to get x and y |
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how would you find the vertex? |
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set what is in the absolute value symbols to 0 |
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how do you graph inequalities? |
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straight up graph them. Then look at the symbol when drawing the line:
< > is dotted line, equal to is solid
Shade up if its greater than, down if its less thannn |
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Graph the absolute value inequality? |
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It will be a "V" shape and shaded. greater than shade up less than shade down |
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solve each system by graphing? |
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Just plot the points and the point of intersection is your answer. |
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inequality and real graphing means what? |
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you have to shade somewhere |
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