Question

1. what is the simplified form of $2y + 3(y - 2) + 4$?

a. $5y + 5$
b. $5y - 2$
c. $5y - 5$
d. $5y + 2$

1. simplify: $6(a + b) - 4a$

a. $2a + 6b$
b. $10a + 2b$
c. $-2a + 6b$
d. $2b - 2a$

1. simplify the expression $2y - (3y - 4)$.

a. $-y - 4$
b. $y + 4$
c. $-y + 1$
d. $-y + 4$

1. simplify: $4x - (x + 3)$

a. $3x + 3$
b. $x - 3$
c. $3x - 3$
d. $5x - 3$

Explanation:

First Question: Simplify \( 2y + 3(y - 2) + 4 \)

Step 1: Distribute the 3

\( 2y + 3y - 6 + 4 \)

Step 2: Combine like terms

\( (2y + 3y) + (-6 + 4) = 5y - 2 \)

Step 1: Distribute the 6

\( 6a + 6b - 4a \)

Step 2: Combine like terms

\( (6a - 4a) + 6b = 2a + 6b \)

Step 1: Distribute the negative sign

\( 2y - 3y + 4 \)

Step 2: Combine like terms

\( (2y - 3y) + 4 = -y + 4 \)

Answer:

b. \( 5y - 2 \)

Second Question: Simplify \( 6(a + b) - 4a \)