Beginning Algebra

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Author:
DanielleP
ID:
167974
Filename:
Beginning Algebra
Updated:
2012-08-29 11:06:44
Tags:
Fractions
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Description:
Study cards for Chapter 1 and 2.1&2.2
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  1. How do you add fractions?
    Change the denominator (bottom number) to the lowest common demoninator. Do not add bottom numbers together. Add top numbers only.
  2. How do you subract fractions?
    Change the denominator (bottom number) to the lowest common demoninator. Do not subract bottom numbers together. Subract top numbers only.
  3. How do you multiply fractions?
    • 1. Multiply the top numbers (the numerators).    
    • 2. Multiply the bottom numbers (the denominators).  
    • 3. Simplify the fraction if needed.
  4. How do you divide fractions?
    • Step 1. Turn the second fraction (the one you want to divide by) upside-down (this is now a reciprocal).
    • Step 2. Multiply the first fraction by that reciprocal
    • Step 3. Simplify the fraction (if needed)
  5. Expressions
    Collection of numbers, variables, operation symbols and grouping symbols.
  6. Absolute vaulue
    Distance from zero on a number line. This number can never be negative
  7. What is the rule for subracting negative numbers?
    • Change the sign of the second number, then add the two numbers using the rules for addition:
    • ADDITION RULEIf the signs are the same then you add the two numbers and keep the sign.If the signs are different, subtract the two numbers and take the sign of the larger number.    

      Ex.  6 -  2 =  6 + (-2) =  4     Ex. -6 - -2 = -6 + (+2) = -4     Ex. -6 -  2 = -6 + (-2) = -8       Ex.  6 - -2 =  6 + (+2) =  8
  8. In math, what does this sign mean?  +
    • Plus
    • Sum of
    • added to
    • add
    • increase by
    • more than
  9. What does this sign mean? -
    • less than (3 less than 5=5-3)
    • difference
    • decrease by
    • subtracted from
    • minus
  10. What does this sign mean? x or *
    • multiply
    • times
    • product
    • of %
  11. What does this sign mean? /
    • divided by
    • quotient
    • out of
  12. If you multiple even number of  negatives, will the number be positive or negative?
    Positive
  13. If you multiple odd number of negatives, will it be positive or negative?
    Negative
  14. a+b=b+a
    Commutative. Just changes the ORDER of the numbers.
  15. (a+b)+c=a+(b+c)
    Associative. ORDER stays the same
  16. Addition a + 0 = a
    Multiplication a x 1 = a
    Identity
  17. a(b + c) = ab + ac
    Distributive. Distribute the numbers
  18. a+(-a)=0
    • Inverse
    • Inverse Properties state that when a number is combined with its inverse, it is equal to its identity.

    • There are two types of inverses of a number: Additive Inverse and Multiplicative Inverse. 
    • addition: add the oppostite of number a+(-a)=0
    • mulitply 8*1/8=1
  19. Number, variable, or product or quotient of a number and and one or more variables.
    Term

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