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Down: 1) An equation that can be written in the form "linear polynomial" = "linear polynomial" or "linear polynomial"=constant is known as a linear equation.2) Two points are said to be collinear if they lie on the same line. 3) Independent variables are those whose value can be chosen without any restriction. For example, in the equation Y = 2x2 + 3x, y is the dependent variable and x is the independent variable. 6) An operation is said to be commutative if x ø y = y ø x, for all values of x and y. Addition and multiplication are commutative operations. For example, 4 + 5 = 5 + 4 or 6 X 5 = 5 X 6. Division and subtraction are not commutative. 7) A branch of pure mathematics that uses alphabets and letters as variables. The variables are the unknown quantities whose values can be determined with the help of other equations. For example, 3X - 7 = 78, is an algebraic equation in one unknown variable (here it is X). Now, by applying algebra techniques we can solve the equation.8) A linear combination is the sum of multiples of the variables in a set. For example, for the set {x, y, z}, one possible linear combination is 7x + 3y - 4z. 10) Terms that have the same variables and with the same power are called like terms. The coefficients of the like terms can be directly added and subtracted. For example 5x3y2 and 135x3y2 are like terms and hence can be added directly to give the number 140x3y2. 13) A line is a geometric figure that connects two points and extends beyond both of them in both directions. 15) The relationship between various Variables (sometimes expressed in the form of an equation) depicted using symbols. For example: a+b=7 Across: 4) An inequality that can be written such that the value of a polynomial is greater than, less than, greater than equal to or less than equal to a particular number is called linear inequality. For example 3x + 7y>9. 5) A line segment is nothing but the set of points between any two points including those two points. 9) The x and y, z axes are known as the axes of a co-ordinate system11) Mixed number is also called mixed fraction. This is a way of representing improper fraction as the sum of a number and a proper fraction. For example 31/4 can be written as the mixed number 7 ¾, since 7+3/4 is 31/4. 12) Independent variables are those whose value can be chosen without any restriction. For example, in the equation Y = 2x2 + 3x, y is the dependent variable and x is the independent variable. 14) The symbol [ ] which signifies grouping. They work in a similar way parentheses do. 16) The operation a + (b+c) = (a + b) + c is called associative operation. Addition and multiplication are associative while division and subtraction are not. For example, (4+5)+ 7 = 4 + (5+7) 17) The magnitude is the absolute value of a quantity. Magnitude is a value and it can never be a negative number. 18) The point at exactly half of the distance from the two points on the line segment joining the two points. 19) Angle is defined as the figure formed by touching the end of two rays. Angle in other word is two rays sharing a common point. 20) It is a ratio between two numbers. For example: 9/11.
 

 

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