Question

Choose all of the equations that are equivalent to 8k = 20.
A. 8k – 4 = 20 + 4
B. 8k ÷ 4 = 20 ÷ 4
C. 8k × 3 = 20 × 3
D. 8k + 10 = 20 + 10
E. 8k × 5 = 20 ÷ 5

Answer 1

B, C, and D.

Reason: You may add/subtract the same number to both sides or multiply/divide both sides by the same nonzero number and keep equivalence.
- B: divide both sides by 4 — equivalent.
- C: multiply both sides by 3 — equivalent.
- D: add 10 to both sides — equivalent.

A and E are not equivalent (A changes sides differently; E multiplies one side and divides the other).