Question

2. Evaluate the following.

(a) 3x + 12y
(b) 3x2
(c) 2x² + xy
(d) x² + y²
(e) (x + y)²
and y = -2
when x = 8
when x = -3
when x = 2 and y=-3
when x = 3 and y = 4
when x = 4 and y = -3

Answer 1

The expressions are evaluated by substituting the given values for x and y.

Step-by-step explanation:

(a) To evaluate 3x + 12y when y = -2 and x = 8, substitute the values in the expression:
3(8) + 12(-2) = 24 - 24 = 0

(b) To evaluate 3x², substitute the value of x:
3(8)² = 3(64) = 192

(c) To evaluate 2x² + xy when y = -2 and x = 2:
2(2)² + 2(-2) = 2(4) - 4 = 8 - 4 = 4

(d) To evaluate x² + y² when y = -2 and x = 3:
(3)² + (-2)² = 9 + 4 = 13

(e) To evaluate (x + y)² when y = -2 and x = 4:
(4 + (-2))² = (2)² = 4

Learn more about Evaluating expressions with given values