Question

What value of p would make the following equation true? 7 × p = 7

a. 0
b. 1
c. 7
d. 7 × p cannot be equal for any value of p.

Akhila thinks of a number, multiplies it by 2 and adds 3 to the product and gets 51. Which of these operations on 51 will give us Akhila’s number?
a. Multiply by 2 and then add 3
b. Divide by 2 and then subtract 3
c. Add 3 and then multiply by 2
d. Subtract 3 and then divide by 2

Answer 1

For the first equation, any value of p would make the equation true. For the second question, the correct operations on 51 to get Akhila's number are option b. Divide by 2 and then subtract 3.

Step-by-step explanation:

To find the value of p that would make the equation 7 × p = 7a true, we need to solve for p. Since both sides of the equation are already equal, we can conclude that any value of p would satisfy the equation.

Therefore, the correct answer is option d. 7 × p cannot be equal for any value of p.

In the second question, Akhila thinks of a number, multiplies it by 2 and adds 3 to the product to get 51. To find Akhila's original number, we need to reverse these operations. So, we need to subtract 3 from 51 and then divide the result by 2.

Therefore, the correct answer is option b. Divide by 2 and then subtract 3.