1. The price of a book decreased from #25 to #20. By how many percent did the price decrease?

a. 5
b. 10
c. 20
d. 25

2. After taking several practice tests, Brian improved the results of his GRE test by 30%. Given that the first time he took the test Brian had answered 150 questions correctly, how many correct answers did he answer in the second test?

a. 105
b. 120
c. 180
d. 195

3. A number is increased by 2 and then multiplied by 3. The result is 24. What is this number?

a. 4
b. 6
c. 8
d. 10

4. My father’s age divided by 5 is equal to my brother’s age divided by 3. My brother is 3 years older than me. My father’s age is 3 less than 2 times my age. How old is my father?

a. 34
b. 45
c. 56
d. 61

5. (x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?

a. 6
b. 7
c. 10
d. 13

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

Simplify the expression 10/11(22z) + (a+5) -1

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?