Question

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

Translate the word phrase into a variable expression:
2. the sum of 16 and 4 times a number
3. Write an equation for the following word problem. Use b for the number of boys and g for the number of girls.
There are eight fewer boys than girls in Mrs. Davis' class. How many boys are in the class?
4. Will the standard form 3.2 × 10–4 be more or less than 1? Explain what effect the negative exponent has.
5.Use a five-step plan to solve the following word problem. Show all five steps in your response:

Doug is twice Anne's age. Doug is 34 years old. How old is Anne?

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

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.