Question

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4

Answer 1

First simplify the right side: 6.5p − 0.01p = 6.49p, so
2.3p − 10.1 = 6.49p − 4 (option 2).

Multiplying that equation by 100 gives
230p − 1010 = 649p − 400, and option 3 is written as 650p − 400 − p = 649p − 400, so it is equivalent.

Answers: 2.3p − 10.1 = 6.49p − 4 and 230p − 1010 = 650p − 400 − p.