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35 Cards in this Set
- Front
- Back
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What is an Exponent?
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The number of times the base is used as a factor.
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What does -3 to the 4th mean?
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-(3x3x3x3) = -81
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What does (-3) to the fourth mean?
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(-3) x (-3) x (-3) x (-3) = 81
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What does the Multiplication Exponent law "Product of Powers" state?
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An exponent times an exponent means you add the exponents.
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What does the Multiplication Exponent law "Power to a Power" state?
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An exponent in parentheses to the power of another exponent means you multiply the exponents.
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What does the Multiplication Exponent law "Power of Product" state?
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Distribute exponents to all numbers in the parentheses.
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What is the "Zero Law"?
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Any number to the 0th power is 1.
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What is the "Negative Law" (example)?
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X to the -7 = 1/x to the 7th
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What does the Exponent Division Law "Quotient of Powers" state?
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Subtract divided exponents.
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What does the Exponent Division Law "Power of Quotient" state?
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To go down an exponent, divide by 2.
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What is the inverse operation of raising a number to a power?
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Finding the root of a number.
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What is the expression under the radical sign?
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the Radicand
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What are the steps to estimating roots on a graphic organizer?
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1) place problem on top
2) List perfect squares on both sides of the number 3) Find the difference in the number and each perfect square 4) state whole numbers the answer falls between 5) To find the decimal divide the first difference by the sum of the two differences |
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What is a rational number?
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A real number that can be written as a ratio of two integers (a real number written in decimal form that terminates or repeats).
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What is an irrational number?
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A number that can not be written as a ratio of two numbers (written as decimals that are non-terminating and non-repeating).
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What is scientific notation?
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A method of writing very large and very small numbers using powers of 10.
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If there is a positive exponent in scientific notation, what does that mean? negative exponent?
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Move the decimal to the right/ Move the decimal to the left
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How do you add/ subtract scientific notation?
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1) Make sure the exponents are the same (left +1, right -1)
2) Add/ subtract the base numbers. |
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How do you multiply scientific notation?
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1) Multiply base numbers
2) Add exponents |
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How do you divide scientific notation?
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1) Divide base numbers
2) Subtract exponents |
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How do you solve a multi-step equation?
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Undo operations by working backwards (PEMDAS)
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How do you solve an equation with variables on both sides?
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1) Move all variables to one side of the equal sign
2) Solve equation |
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What is an algebraic equation?
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Solving for a variable in terms of another.
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What must happen when you multiply/ divide by a negative while solving an inequality.
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Flip the inequality sign
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What is the formula for the Pythagorean theorem?
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A2 + B2 = C2
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How do you find the distance between two points on a graph?
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1) Make a triangle (Pythagorean Theorem)
2) Find the root of (x2 - x1)2 + (y2 - y1)2 |
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What is the formula for finding the volume of a cylinder?
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V=Pi r2 h
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What is the formula for finding the volume of a cone?
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V= 1/ Pi r2 h
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What is the formula for finding the volume of a sphere?
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V= 4/3 Pi r3
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What are adjacent angles?
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Side by side, share a common ray
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What are complementary angles?
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Sum up to 90 degrees
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What are supplementary angles?
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Sum up to 180 degrees
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What is a linear pair?
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Sum up to 180 degrees, Side by side
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What are vertical angles?
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Opposite and congruent
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What are congruent angles?
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Angles that have the same measure
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