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# Chapter 10 Vocab

### Multiplication and Other Operations Vocab.

WordDefinitionExample
Repeated Addition Property of Multiplication If n is a positive interger, then nx= x+x+x+.......+x. n addends. x+x+x+x+x+=5x
Like terms These numbers can be simplified into a single number. 12y+y+2y=15y
Unlike terms These numbers cannot be simplified by a single number. 12x + 6y
Multiplication Property of Equality If x=y, then ax=ay. x=y, x=5, a=2, ay=ax
Equation of the form ax+b=c In this equation, the unknown w is multiplied by a number. Then a second number is added. 3w+5=20
Distributive Property of Multiplication over Addition For any numbers a, b, and x, ax+bx+=(a+b)x and x(a+b)= xa+xb. 7*9+12*9= 9*(7+12)
Distributive Property of Multiplication over Subtraction For any numbers a, b, and x, ax-bx= (a-b)x and x(a-b)= xa-xb. 7*3.98= 7(4-.02)
Net A plane pattern for a 3-dimensional figure. n/a
Surface Area The surface area of a rectangular solid is the sum of the areas of its faces. n/a
Numerically equal When the area and perimeter of a figure are equal. If the area of a rectangular solid is 6cm*3cm=18cm, and the perimeter is 6cm+3cm+6cm+3cm=18cm
Acre A unit of measure that is used to measure land area. Farms are measured in acres, 640 acres=1 square mile
Height The perpendicular distance from any vertex of a triangle to the side opposite that vertex. Also the distance between the bases of the trapezoid. n/a
Altitude The perpendicular segment from a vertex of a triangle to the opposite side of the triangle. Same as height for the trapezoid. n/a
Base of a triange The side of a triangle perpendicular to the altitude. n/a
Area Formula for Any Triangle Let b be the length of a side of a triangle with area A. Let h be the length of a altidute drawn to that side. Then A=1/2 bh. If base is 20, and height is 15, then A=1/2 20*15=150 square units
Trapezoid A quadrilateral with at least one pair of parallel sides. n/a
Area Formula for a Trapezoid Let A be the area of a trapezoid with bases b1 and b2 and height h. Then A=1/2 *h(b1+ b2). (blank)
Base of a trapezoid The parallel sides of a trapezoid. n/a
Created by: Aamir