Question

simplify the expression $3x + 5 - 2x$
a. $x$
b. $8$
c. $x + 5$
d. $3x$

which of the following is equivalent to $4(x + 2) - 3(x - 1)$?
a. $7x - 5$
b. $x + 11$
c. $7x + 1$
d. $x + 5$

what is the simplified form of $2(3x - 4) - 3(2x + 1)$?
a. $-11$
b. $6x + 11$
c. $6x - 7$
d. $6x + 7$

Explanation:

First Question: Simplify \( 3x + 5 - 2x \)

Step1: Combine like terms (\(3x - 2x\))

\(3x - 2x = x\)

Step2: Rewrite the expression

After combining like terms, we have \(x + 5\)

Step1: Distribute the coefficients

\(4(x + 2)=4x + 8\) and \(3(x - 1)=3x - 3\), so the expression becomes \(4x + 8 - (3x - 3)\)

Step2: Remove the parentheses (distribute the negative)

\(4x + 8 - 3x + 3\)

Step3: Combine like terms (\(4x - 3x\) and \(8 + 3\))

\(4x - 3x = x\) and \(8 + 3 = 11\), so we get \(x + 11\)

Step1: Distribute the coefficients

\(2(3x - 4)=6x - 8\) and \(3(2x + 1)=6x + 3\), so the expression becomes \(6x - 8 - (6x + 3)\)

Step2: Remove the parentheses (distribute the negative)

\(6x - 8 - 6x - 3\)

Step3: Combine like terms (\(6x - 6x\) and \(-8 - 3\))

\(6x - 6x = 0\) and \(-8 - 3 = -11\), so we get \(-11\)

Answer:

c. \(x + 5\)

Second Question: Simplify \( 4(x + 2) - 3(x - 1) \)