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Properties of Equality in Algebra

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Questions and Answers

According to the Transitive Property of Equality, if TX=XY and XY=YZ, then TX=?

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}?

Distributive property

What is the correct reason for statement #3: {3x + 7= 8}?

Combine Like Terms Signup and view all the answers

What is the correct reason for statement #4: {3x=1}?

Subtraction Property of Equality Signup and view all the answers

What is the correct reason for statement #5: {x=1/3}?

Division Property of Equality Signup and view all the answers

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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Description

This quiz explores the key properties of equality in algebra, including transitive, symmetric, distributive, and properties of combining like terms. Test your understanding of how these properties apply to equations and expressions. Brush up on solving equations using subtraction and division properties as well.