Home » Test Prep » ACT Section 2: Math » When a = 8, b could be equal to:
If
, then when a = 8, b could be equal to:
A. -2
B. 4
C. 6
D. 7
E. 8
Correct Answer: C
Explanation/Reference: Explanation:
Substitute 8 for a:
. Rewrite 1 as 8/8 and add it to 4b/8, then cross multiply:
4b2 – 8b – 32 = 64 b2 – 2b – 8 = 16 b2 – 2b – 24 = 0 (b – 6) x (b + 4) = 0 b – 6 = 0, b = 6 b + 4 = 0, b + -4
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