Question

1. Translate the variable expression into a word phrase: 4b – 2

Answer 1

1. 4b - 2 : the product of 4 and a number (b) decreased by 2

2. the sum of 15 and 4 times a number......15 + 4x

3. 8 fewer boys then girls...how many boys.......b = g - 8

4. It will be less then 1 because of the negative exponent....a negative exponent will mean the number is less then 1...I dont really know how else to explain it.

5. Doug is twice Anna's age...doug is 34 years old
   I dont know the 5 step plan...but I am putting what I do know

   d = doug's age
   a = anna's age
   
   d = 2a
   d = 34
   
   34 = 2a
   34/2 = a
   17 = a....so anna is 17

   check..
   d = 2a
   d = 2(17)
    d = 34 (correct)

Answer 2

Answer:

1) The difference between four times the number b and 2.

2) 16 + 4*x

3) if there are 8 fewer boys than girls in the class, then g - b = 8, so the number of boys is: b = g - 8

4) 3.2*$10^{-4}$ is less than 1 because of the negative exponent, the expression is equivalent to 3.2/10000 = 0.00032 < 1

5) Ok, Dough is twice Anne's age. so if D is Dough's age, and A is Anne's age:

D = 2*A

and D = 34

then 34 = 2*A

if we divide both sides by 2, we get

34/2 = 2*A/2

17 = A

Anne is 17 years old.