Question

Evaluate each expression for the given value of the variable.

Answer 1

$\frac{5(2k - 3)-3(k + 4)}{3k+2}$

• Substitute -2 for k into the expression.

$\frac{5[2(-2) - 3]-3[(-2) + 4]}{3(-2)+2}$

• Solve inside the parentheses first.
• Multiply 2 * (-2) in the first parentheses, and add (-2) + 4 in the second parentheses. Multiply 3 * (-2) on the bottom.

$\frac{5(-4 - 3) - 3(2)}{-6+2}$

• Solve inside the first parentheses.
• Add -6 + 2.

$\frac{5(-7) - 3(2)}{-4}$

• Multiply 5 * (-7) and 3 * (2).

$\frac{(-35) - (6)}{-4}$

• Subtract -35 and 6.

$\frac{(-41)}{-4}$

• -41/-4 is the same as 41/4, and 41/4 cannot be simplified further, so:

Your answer is 41/4.