Solving Word Problems To solve math word problems, it is always best to use the following Five Step Plan. Five Step Plan a) Write the question. b) List what do you know. Tell what x =’s. c) Write an equation. d) Solve for x. e) Write the answer to part a. Examples: 1. A number multiplied...
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The Graph of an Equation The graph of an equation in two variables can be displayed on a coordinate plane. All ordered pairs (a,b) that are solutions of the equation are points on the graph. The graph of the equation is a set of all points that are solutions of the equation. To sketch a...
Symmetry The graph of an equation may be symmetrical over the x-axis, the y-axis and/or the origin. Knowing if a graph is symmetrical helps make it easier to sketch the graph of an equation. To test for x-axis symmetry, you need to replace y with –y. If the new equation is identical to the original...
Finding the intercepts of an equation Finding the intercepts of an equation makes it easier to sketch the graph of the equation. The graph of some functions can have one intercept, more than one intercept or no intercepts. On the Cartesian Coordinate Plane, there are two types of intercepts. The point where the graph crosses...
Knowing the type of graph by looking at the equation, makes it very easy to sketch a graph. The following is a list of examples of a variety of graphs. Equation Degree Name Shape Description 1. linear straight line / if x is +, \ if x is - 2. quadratic Parabola opens up if...
Midpoint The point halfway between two points on the coordinate plane is found by calculating the average values of the x and y coordinates. The mid-point formula is: Examples: Use the distance formula and find the distance between two points and use the mid-point formula to find the point halfway between the same two points. 1. ...
What is the Distance Formula? The distance between two points on a coordinate plane can found by using the distance formula. To understand and discover the distance formula you must use the Pythagorean Theorem. If you have a right triangle, then the square on the hypotenuse is equal to the sum of the squares of the other...
Cartesian Plane The Cartesian Plane is used to plot points. A rectangular coordinate system consists of points called ordered pairs. (x,y) The coordinates of the points and listed in alphabetical order so x comes first in an ordered pair (x,y). x-axis –> horizontal number line y-axis –> vertical number line origin –> point of intersection...
Solving Inequalities Simple Inequalities contain one of the following signs . When solving an inequality, one is trying to find all the valid solutions. Example: all real nos. less than 3 An inequality can be bounded or unbounded / open or closed. We use rounded brackets to indicate an open ended inequality...
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