Question

Translate the verbal phrases into mathematical phrases. Shade A if the translation is correct and B if not:

a. 6.6 increased by b = 6 + b
b. The product of 8 and b = 8b
c. Twice a number b decreased by 7 = 2b - 7
d. Half of the sum of b and e = 1/2(b + e)
e. The square of the difference of b and e = (b - e)^2

Answer 1

Translations a, b, c, d, and e are 6.6 + b, 8b, 2b - 7, 1/2(b + e), and (b - e)^2 respectively. Only translation a, '6.6 increased by b = 6 + b', is incorrect and should be '6.6 + b', therefore it should be shaded B.

Step-by-step explanation:

The student has asked to translate verbal phrases into mathematical phrases and determine if the translations are correct or not. Here are the correct translations and whether they should be shaded A (correct) or B (not correct):

• a. 6.6 increased by b = 6.6 + b (The translation should be A)
• b. The product of 8 and b = 8b (The translation should be A)
• c. Twice a number b decreased by 7 = 2b - 7 (The translation should be A)
• d. Half of the sum of b and e = 1/2(b + e) (The translation should be A)
• e. The square of the difference of b and e = (b - e)^2 (The translation should be A)

Note that in item a, the original phrase '6.6 increased by b' should correctly translate to 6.6 + b, not 6 + b. Therefore, the initial translation should be marked as B (not correct).