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Questions and Answers
According to the Transitive Property of Equality, if TX=XY and XY=YZ, then TX=?
According to the Transitive Property of Equality, if TX=XY and XY=YZ, then TX=?
YZ
Which property is illustrated by the statement, if KL=LM, and LM=KL?
Which property is illustrated by the statement, if KL=LM, and LM=KL?
Symmetric Property of Equality
What is the correct reason for statement #2: {3x + 1 + 6= 8}?
What is the correct reason for statement #2: {3x + 1 + 6= 8}?
Distributive property
What is the correct reason for statement #3: {3x + 7= 8}?
What is the correct reason for statement #3: {3x + 7= 8}?
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What is the correct reason for statement #4: {3x=1}?
What is the correct reason for statement #4: {3x=1}?
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What is the correct reason for statement #5: {x=1/3}?
What is the correct reason for statement #5: {x=1/3}?
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Study Notes
Properties of Equality
- Transitive Property of Equality: If TX=XY and XY=YZ, then TX=YZ.
- Symmetric Property of Equality: If KL=LM, then LM=KL, illustrating the idea that equality can be stated in either order.
Algebraic Reasoning
- Distributive Property: Applied to combine terms in an expression, as seen in the example: 3x + 1 + 6 = 8.
- Combining Like Terms: Simplifies expressions by adding or subtracting coefficients of the same variable, shown in the equation 3x + 7 = 8.
- Subtraction Property of Equality: Justifies the step where you subtract the same value from both sides of an equation, exemplified in the equation 3x = 1.
- Division Property of Equality: Indicates that both sides of an equation can be divided by the same non-zero number, demonstrated in finding x = 1/3.
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