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Questions and Answers
Write an expression that is equivalent to $\frac{1}{3}x + \frac{3}{4} + \frac{2}{3}x - \frac{1}{4} - \frac{2}{3}x$
Write an expression that is equivalent to $\frac{1}{3}x + \frac{3}{4} + \frac{2}{3}x - \frac{1}{4} - \frac{2}{3}x$
$\frac{1}{3}x + \frac{1}{2}$
Which expression is equivalent to $0.5y + 10.5 + 6.5y - 0.5 - 0.5y$?
Which expression is equivalent to $0.5y + 10.5 + 6.5y - 0.5 - 0.5y$?
6.5y + 10
Which expression is equivalent to $-\frac{1}{4}(20z + 24)$?
Which expression is equivalent to $-\frac{1}{4}(20z + 24)$?
-5z - 6
Write an expression that is equivalent to $-0.5(14a - 22) = ? a + ?$
Write an expression that is equivalent to $-0.5(14a - 22) = ? a + ?$
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Write an expression that is equivalent to $\frac{1}{2}a - 4 = ? (a - ?)$
Write an expression that is equivalent to $\frac{1}{2}a - 4 = ? (a - ?)$
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Which expression is equivalent to $\frac{1}{3}b - 7$?
Which expression is equivalent to $\frac{1}{3}b - 7$?
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Study Notes
Equivalent Linear Expressions
- Expressions can be simplified to find equivalent forms that maintain their value.
- The goal is to combine like terms and restructure the expressions effectively.
Key Examples
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Card 1: The expression ( \frac{1}{3}x + \frac{3}{4} + \frac{2}{3}x - \frac{1}{4} - \frac{2}{3}x ) simplifies to ( \frac{1}{3}x + \frac{1}{2} ).
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Card 2: The expression ( 0.5y + 10.5 + 6.5y - 0.5 - 0.5y ) can be rewritten as ( 6.5y + 10 ).
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Card 3: The expression ( -\frac{1}{4}(20z + 24) ) simplifies to ( -5z - 6 ) when distributed.
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Card 4: When rewriting ( -0.5(14a - 22) ), it results in ( -7a + 11 ) after distributing and combining like terms.
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Card 5: The expression ( \frac{1}{2}a - 4 ) can be expressed as ( \frac{1}{2}(a - 8) ), highlighting the distributive property.
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Card 6: The expression ( \frac{1}{3}b - 7 ) is equivalent to ( \frac{1}{3}(b - 21) ), emphasizing simplification through factoring.
Understanding Expressions
- Identifying like terms and constants is crucial for simplification.
- The distributive property plays a significant role in rewriting expressions.
- Structural changes to expressions do not alter their overall value, maintaining equivalency.
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Description
Test your understanding of equivalent linear expressions with this quiz designed for Level G students. Each question challenges you to simplify and rewrite expressions accurately. Ideal for reinforcing concepts from the IReady Math curriculum.
