II. Evaluate each expression for the given values of the variables. (Show your solution)
Answer:
16. A², when A=0.3 → 0.09
17. 4(a+b)² + 4a -3b, when a = 2 and b=-3 → 21
18. 3(x+y)² + 4(x+y) - 6, when x = 4 and y=-1 → 33
19. x³(y+z)², when x=-3, y = 2 and z = -2 → 0
20. 6p² + 3pq-q², when p = 2 and q = -3 → -3
Solution:
#BY SUBSTITUTION METHOD#
16) A², when A=0.3
→ A²
→ (0.3)²
→ 0.09
17) 4(a+b)² + 4a -3b, when a = 2 and b=-3
→ 4(a+b)²+4a-3b
→ 4(2+(-3))²+4(2)-3(-3)
→ 4(-1)²+17
→ 4(1)+17
= 4+17
= 21
18) 3(x+y)² + 4(x+y) - 6, when x = 4 and y=-1
→ 3((4)+(-1))² + 4((4)+(-1)) - 6
→ 3(3)² + 4(3)-6
→ 3(9) + (12) - 6
→ (27) + 6
→ 33
19) x³(y+z)², when x=-3, y = 2 and z = -2
→ x³ (y+z)²
→ (-3)³ ((2)+ (-2))²
→ -27 (0)²
→ -27 (0)
→ 0
20) 6p² + 3pq-q², when p = 2 and q = -3
→ 6p² + 3pq-q²
→ 6(2)² + 3(2)(-3)-(-3)²
→ 6(4) + 3(-6) - (-3)²
→ 24 + (-18) - (9)
→ 24 + (-27)
→ -3
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