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The average of a set of numbers. |
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Add up all numbers in the problem and divide by how many you added together |
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The middle number in a set of ordered numbers |
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Put the numbers in order and if there's an odd number of numbers, the middle number is the median. Otherwise, take the two numbers that are in the middle and find their mean. |
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Terms that have the EXACT same collection of variables |
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Least Common Denominator (the LCM of the denominators) |
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The number that is multiplied by a variable (i.e. 3 is the coefficient of 3x) |
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The result of flipping a fraction (i.e. the reciprocal of 2/3 is 3/2) |
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A collections of numbers and/or variables that are multiplied together (i.e. 3x + 4yz, 3x and 4yz are separate terms) |
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Things that are multiplied together (i.e. In the term 4yz, 4, y, and z are the three factors of the term) |
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A single term (i.e., 3x, 4y, 8qw) |
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Two terms (i.e. 4x+7y, -9h+6R) |
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Three terms (i.e. -3D-5J+4, 2x+3y+6L) |
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T/F: Division by 0 is okay. |
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T/F: 0 divided by anything is 0. |
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When dividing by a fraction you must ________. |
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First flip the second fraction (get its reciprocal) and then change the division to multiplication. |
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PEMDAS Parentheses Exponents Multiplications & Divisions Additions & Subtractions |
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In simplifying an expression, you always do it from ______ to ______. |
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Something WITHOUT an equal sign |
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Something WITH an equal sign |
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When multiplying 2 numbers that have the same sign (both positive OR both negative) the answer will be _______. |
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When multiplying 2 numbers that have different signs (one positive and one negative) the answer will be _______. |
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When dividing 2 numbers that have the same sign (both positive OR both negative) the answer will be _______. |
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When dividing 2 numbers that have different signs (one positive and one negative) the answer will be _______. |
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When adding 2 numbers that have the same sign, the answer will be positive always/never/sometimes. |
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Sometimes (i.e.3+6=+9 but -3+(-6)=-9) |
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When subtracting 2 numbers that have the same sign, the answer will be positive always/never/sometimes. |
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Sometimes (i.e. 3-2=+1 but -3-(-2)=-1 |
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T/F: The square root of -16 has no real number solution |
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True, negative numbers do not have real number square roots |
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How many terms are in the expression? -2x+3y-4xyz |
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3, Remember that addition and subtraction separate terms. |
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T/F: The following terms are NOT like terms. 3xyz, -2.5yzx |
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False, they have the same variables |
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Before you cancel a factor out of the top and the bottom of an algebraic expression, you must first be able to _________. |
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FACTOR out of the top and the bottom whatever it is you wish to cancel. |
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When dividing by a fraction you must _________ the ________ fraction. |
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Flip (get the reciprocal), Second |
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The only time you can cancel a factor between a pair of fractions is when the two fractions are being ___________. |
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DEGREE OF A TERM (Monomial) |
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The sum of the exponents on the variables (i.e. -4xyz has degree 3, 15xQ^5 has degree 6) |
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Find the degree of each term and whichever one is the biggest is the degree of the entire polynomial. |
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When you add or subtract, you must have _________. |
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When you add or subtract fractions, you must have ___________. |
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Common denominators AND like terms |
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T/F: The sign in front of a number (just to the left of it) stays with that number. |
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A number that can only be divided by 1 and itself. |
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A number that can be divided by at least 1 other integer besides 1 and itself |
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A number in the following set: ...,-3,-2,-1,0,1,2,3,... |
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The largest integer that divides into both numbers (i.e. The GCF of 16 and 24 is 8) |
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The smallest integer that both numbers divide into (i.e. The LCM of 6 and 16 is 32) |
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The sum of all sides (i.e. the distance around an object or shape) |
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How much space there is on a surface (i.e. how much space on a wall or on a table) |
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How much room there is inside of something (i.e. inside a box or a freezer) |
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When plugging a number into an expression, it's a good idea to put ________ around the number. |
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An expression whose highest power of x is 1 |
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"Twenty less than a number" translates into___________. |
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x-20 (NOTE: The answer is NOT 20-x) |
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Angles that add up to 90 degrees |
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Angles that add up to 180 degrees |
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The angles of a triangle always add up to _______. |
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When doing operations on mixed numbers it is a good idea to first _________. |
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Convert all mixed numbers to improper fractions |
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T/F: When evaluating the square root of a fraction you MUST first rewrite the problem as the square root of the numerator divided by the square root of the denominator. |
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False, you can do that but you don't have to |
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