Question

Which expression has a value greater than the given expression when a = 2?

2(a + 6)




A 2a + a²

B 4a + 8

C 2a + 12

D a4+2

Answer 1

2(a + 6) → 2(2 + 6) = 2(8) = 16

A. 2a + a² → 2(2) + 2² = 4 + 4 = 8

B. 4a + 8 → 4(2) + 8 = 8 + 8 = 16

C. 2a + 12 → 2(2) + 12 = 4 + 12 = 16

D. a⁴ + 2 = 2⁴ + 2 = 16 + 2 = 18

18 > 16

Answer: D.

Answer 2

D

Explanation:

the value of the given expression when a = 2 is

2(2 + 6) = 2 × 8 = 16

calculating the values of the expressions when a = 2

A (2 × 2 ) + 2² = 4 + 4 = 8 ← less than 16

B (4 × 2) + 8 = 8 + 8 = 16 ← not greater than 16

C (2 × 2) + 12 = 4 + 12 = 16 ← not greater than 16

D
`2^(4)` + 2 = 16 + 2 = 18 ← greater than 16