Questions and Answers
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?
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}?
Signup and view all the answers
What is the correct reason for statement #4: {3x=1}?
Signup and view all the answers
What is the correct reason for statement #5: {x=1/3}?
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
