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| uses opposites to eliminate one of the variables |
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| a reasonable estimate for a point of intersection for a system of equations (page 321) |
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| systems that have one or infinitely many solutions are consistent systems |
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| systems with no solutions are inconsistent |
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an independent system has only ONE solution.
example: One unique ordered pair, (x,Y) satisfies both equations.
x + 2y = 3
2x - y = 1 |
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dependent system
page 341 |
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Definition
A dependent system has infinitely many solutions. Ery ordered pair that is a solution of the first equation is also a solution of the second equation
x-y =2
2x-2y=4 |
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Term
linear inequality
page 345 |
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Definition
an inequality whose form is like that of a linear equation with the equal sign replaced by an inequality symbol.
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Term
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Definition
Key to solving age puzzle is knowing how to represent person's age in future or past. If person's age is now x, then five years from now the person's age will be x +5. Five years ago, the person's age is x-5.
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Term
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Definition
The Strategy in number digit puzzles is to write the value of a number in expanded form. You can write 52 as 5(10) = 2.
page 355 |
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| a line that divides a coordinate plane into two half planes. page 346 |
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Term
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| Two equations in two variables are called a .system of equations |
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Term
substitution method
page 327 |
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Definition
| a method used to solve a system of equations in which variables are replaced with known values or algebraic expressions |
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Definition
| an ordered pair of numbers that is the solution to each equation in the system |
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Definition
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| a solution which satisifies both equation |
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