Math 6 review

• The properties of operations are: identity property, inverse property, commutative property, associative property, and distributive property.
• Additive identity- the sum of a number and 0 is the same number

  Ex. 9+0=9
• Multiplicative identity- the product of a number and 1 is the original number

  Ex. 5x1=5
• Additive Inverse- the sum of a number and its opposite/inverse is 0

  Ex. -9+9=0
• Multiplicative inverse- the product of a number and its reciprocal is 0

  Ex. 5 × 1/5 = 1
• Commutative property of addition- changing the order of addends does not change the sum

  Ex. 4 + 2 = 2 + 4
• Commutative property of multiplication- changing the order of factors does not change the product

  Ex. 4 × 3 = 3 × 4
• Associative property of addition- changing the grouping of addends does not change the sum.

  For example, (2 + 3) + 4 = 2 + (3 + 4).
• Associative property of multiplication- Changing the grouping of factors does not change the product.

  For example, (2X3)x4 = 2x(3x4).
• Distributive property- multiplying a value by its sum or difference, you will get the same result.
• variable- a letter used to represent one or more numbers in an expression or equation
• constant has a fixed value that does not change.
• algebraic expression- a variable, a number, or a combination of both that are related by any of the fundamental operations of algebra
• equation- a mathematical statement indicating that two algebraic expressions are equal
• sequence- a set of numbers written in a special order by the application of a definite rule
• term- each number or expression in a sequence
• formula for average speed- as=td/tt
• surface area- the sum of the areas of the base(s) and the lateral faces of a space figure
• surface area= lateral area + base areas
• sa of rectangular prism=2lw+2lh+2hw
• sa of cube= 6s²
• sa of sphere= 4πr²
• sa of cone= πrs + πr²
• SA of Cylinder = 2πrh + 2πr²
• SA of Triangular prism = lp + bh
• Volume of cylinder = πr²h
• Volume of cone: πr²h/3
• Volume of sphere: 4/3 πr²
• Volume of pyramid: 1/3 bh
• Volume of triangular prism: (bxh)/2 h