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 $s = 4$
answer to 2.) $-11$

Explanation:

Problem 1: Evaluate \( 3 + 4x \) when \( x = -2 \)

Step 1: Substitute \( x = -2 \)

Substitute \( x = -2 \) into the expression \( 3 + 4x \), we get \( 3 + 4(-2) \).

Step 2: Calculate the multiplication

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

Step 3: Calculate the addition

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

Step 1: Substitute \( x = -1 \)

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

Step 2: Calculate the multiplication

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

Step 3: Calculate the addition

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

Step 1: Substitute \( x = -1 \)

Substitute \( x = -1 \) into the expression \( 6x + 4 \), we get \( 6(-1) + 4 \).

Step 2: Calculate the multiplication

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

Step 3: Calculate the addition

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

Answer:

\( -5 \)

Problem 2: Evaluate \( -6 + 5x \) when \( x = -1 \)