Question

practice exercises: evaluate for the given value of the variable.
1.) $3 + 4x$ if $x = -2$
$3 + 4(\\ \\ ) =$
2.) $-6 + 5x$ if $x = -1$
$-6 + 5(\\ \\ ) =$
3.) $6x + 4$ if $x = -1$
4.) $8x + 5$ if $x = -2$
5.) $-2x + 3$ if $x = 2$
6.) $-2x + 5$ if $x = -2$
7.) $-6r + 8s$ if $r = -2$ and $s = 4$

Explanation:

Problem 1:

Step1: Substitute \( x = -2 \)

Substitute \( x = -2 \) into \( 3 + 4x \), so we have \( 3 + 4(-2) \).

Step2: Calculate the multiplication

Calculate \( 4(-2) = -8 \).

Step3: Calculate the addition

Now, \( 3 + (-8) = 3 - 8 = -5 \).

Step1: Substitute \( x = -1 \)

Substitute \( x = -1 \) into \( -6 + 5x \), so we get \( -6 + 5(-1) \).

Step2: Calculate the multiplication

\( 5(-1) = -5 \).

Step3: Calculate the addition

\( -6 + (-5) = -6 - 5 = -11 \).

Step1: Substitute \( x = -1 \)

Substitute \( x = -1 \) into \( 6x + 4 \), we have \( 6(-1) + 4 \).

Step2: Calculate the multiplication

\( 6(-1) = -6 \).

Step3: Calculate the addition

\( -6 + 4 = -2 \).

Answer:

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

Problem 2: