Equivalent Linear Expressions Quiz & Flashcards

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

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

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

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

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

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

Equivalent expression for (1/3)x + (3/4) + (2/3)x - (1/4) - (2/3)x

Equivalent expression for 0.5y + 10.5 + 6.5y - 0.5 - 0.5y

Equivalent expression for -(1/4)(20z + 24)

Equivalent expression for -0.5(14a - 22)

Equivalent expression for (1/2)a - 4

Equivalent expression for (1/3)b - 7

Expressions can be simplified to find equivalent forms that maintain their value.
The goal is to combine like terms and restructure the expressions effectively.

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.

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.