Match each unsimplified algebraic expression with its correctly simplified equivalent.

$2(3y + 4)$ $6y + 8$
$5y + 2y - 3$ $7y - 3$
$-3(y - 2)$ $-3y + 6$
$4y + 2z - y + 3z$ $3y + 5z$

Cevap

The correct pairings map each unsimplified expression to its distributed and combined form.

Each expression on the left is matched with its simplified form on the right by accurately applying the distributive property and combining like terms.

Adım Adım Çözüm

Simplify the first expression: 2(3y + 4).

6y + 8

Multiply the outer term 2 by both terms inside the parentheses (3y and 4).

Simplify the second expression: 5y + 2y - 3.

7y - 3

Add the coefficients of the like terms containing y (5 and 2).

Simplify the third expression: -3(y - 2).

-3y + 6

Distribute the -3, noting that a negative multiplied by a negative results in a positive (+6).

Simplify the fourth expression: 4y + 2z - y + 3z.

3y + 5z

Group and add the coefficients of the y terms together, and the z terms together.

Anahtar Kavram

Simplifying Algebraic Expressions

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

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