Chapter 8.2 Equation Representation Quiz

Which equation represents the following statement? When 8 is added to a number, the answer is 3.

Answer explanation

The correct equation is n + 8 = 3 because the statement says 'When 8 is added to a number, the answer is 3.' So, the number (n) plus 8 equals 3.

Which equation represents the following statement? When 8 is multiplied by a number, the answer is 3.

Answer explanation

The equation that represents the statement 'When 8 is multiplied by a number, the answer is 3' is 8n = 3, where n is the unknown number being multiplied by 8.

Which equation represents the following statement? When 8 is divided by a number, the answer is 3.

Answer explanation

The correct equation is 8 divided by a number 'n' equals 3, so the equation is 8 divided by 'n' equals 3, represented as 8/n = 3.

Which equation represents the following statement? When 8 is subtracted from a number, the answer is 3.

Answer explanation

The correct equation is n - 8 = 3 because the statement says 'When 8 is subtracted from a number, the answer is 3.'

• A) 7

• B) 6

• C) 5

• D) 4

Answer explanation

By subtracting 6 from both sides of the equation, we find that b = 13 - 6 = 7. Therefore, the correct value of the pronumeral is 7, which corresponds to answer choice A).

• A) 10

• B) 9

• C) 8

• D) 7

Answer explanation

By adding 7 to both sides of the equation, we find x = 10. Therefore, the value of the pronumeral is 10, which corresponds to answer choice A.

• A) 2

• B) 3

• C) 4

• D) 5

Answer explanation

By dividing both sides of the equation by 4, we find that m = 3. Therefore, the correct value of the pronumeral is 3, which corresponds to answer choice B.

• A) 80

• B) 90

• C) 100

• D) 110

Answer explanation

By multiplying both sides of the equation by 10, we get t = 90. Therefore, the value of the pronumeral t is 90. Hence, the correct answer is B) 90.

• A) 8

• B) 9

• C) 10

• D) 11

Answer explanation

By using guess, check, and improve, we find that when p = 10, the equation 2p - 3 = p + 7 holds true. Therefore, the correct value of p is 10, making option C) 10 the correct choice.

• A) 6

• B) 7

• C) 8

• D) 9

Answer explanation

By using guess, check, and improve, we find that x = 8 satisfies the equation 2x + 6 = 4x - 10. Therefore, the correct value of the pronumeral is 8, which corresponds to option C.