Equivalent Linear Expressions Quiz & Flashcards

Questions and Answers

Write an expression that is equivalent to $\frac{1}{3}x + \frac{3}{4} + \frac{2}{3}x - \frac{1}{4} - \frac{2}{3}x$

$\frac{1}{3}x + \frac{1}{2}$

Which expression is equivalent to $0.5y + 10.5 + 6.5y - 0.5 - 0.5y$?

6.5y + 10

Which expression is equivalent to $-\frac{1}{4}(20z + 24)$?

-5z - 6

Write an expression that is equivalent to $-0.5(14a - 22) = ? a + ?$

-7a + 11 Signup and view all the answers

Write an expression that is equivalent to $\frac{1}{2}a - 4 = ? (a - ?)$

$\frac{1}{2}(a - 8)$ Signup and view all the answers

Which expression is equivalent to $\frac{1}{3}b - 7$?

$\frac{1}{3}(b - 21)$ Signup and view all the answers

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

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} ).
Card 2: The expression ( 0.5y + 10.5 + 6.5y - 0.5 - 0.5y ) can be rewritten as ( 6.5y + 10 ).
Card 3: The expression ( -\frac{1}{4}(20z + 24) ) simplifies to ( -5z - 6 ) when distributed.
Card 4: When rewriting ( -0.5(14a - 22) ), it results in ( -7a + 11 ) after distributing and combining like terms.
Card 5: The expression ( \frac{1}{2}a - 4 ) can be expressed as ( \frac{1}{2}(a - 8) ), highlighting the distributive property.
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.

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.