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

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

8k = 20

Determine the equation that is equivalent to the given:

Choices:

A. 8k – 4 = 20

8k = 20 + 4

8k = 24

Not equivalent

B. 8k ÷ 4 = 20 ÷ 4

2k = 5

Equivalent since it is proportional to the given.

C. 8k × 3 = 20 × 3

24k = 60

Equivalent since it is proportional to the given.

D. 8k + 10 = 20 + 10

18k = 30

Not equivalent since it is not proportional.

E. 8k × 5 = 20 ÷ 5

40k = 4

Not equivalent since different signs are used on both sides of the equation and it is not proportional.

Final answer:

B. 8k ÷ 4 = 20 ÷ 4

C. 8k × 3 = 20 × 3