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SYSTEMS OF EQUATIONS.

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Presentation on theme: "SYSTEMS OF EQUATIONS."— Presentation transcript:

1 SYSTEMS OF EQUATIONS

2 SYSTEM OF EQUATIONS A set or collection of equations that you deal with all together at once

3 SOLUTION A value or values which, when substituted for a variable in an equation, make the equation true; the point at which two equations/lines/relationships share a common value or cross

4 Consistent system When at least one set of values (solutions) satisfies every equation in a system

5 Independent system When ONLY one set of values (solutions) satisfies every equation in a system

6 dependent system When MORE than one set of values (solutions) satisfies every equation in a system

7 inconsistent system When NO set of values (solutions) satisfies every equation in a system

8 INSPECTION Recognition of a familiar pattern leading to immediate solution of a mathematical problem

9 SUBSTITUTION A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable

10 ELIMINATION A strategy for solving systems of equations that includes addition or subtraction of one variable

11 EVALUATE Substitute a number for each variable and perform the arithmetic operations

12 TEST Substitution of a point within an equation to determine if the point creates a true statement

13 STANDARD FORM A way of writing the equation of a line; in this case it is in the form Ax + By = C where A is a positive integer, and B, and C are integers

14 SLOPE INTERCEPT FORM The way of writing the equation of a line so that the slope (steepness) and y- intercept (where the line crosses the vertical y-axis) are immediately apparent

15 Y - INTERCEPT The value where a straight line crosses the Y axis of a graph

16 X - INTERCEPT The x-coordinate of a point where a line, curve, or surface intersects the x-axis

17 COEFFICIENT A numerical quantity placed before a variable that multiplies the variable in an algebraic expression

18 CONSTANT A number on its own, or sometimes a letter such as a, b or c to stand for a fixed number

19 PARALLEL LINES Two lines that are always the same distance apart and never touch

20 INTERSECTING LINES Two lines that share exactly one point

21 CONSTRUCT To write an equation, contextual story or draw a graph/table illustrating an algebraic relationship


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