What is the value of z in the equation 3z + 5 = 4z − 8? (4 points) a
−13

b
−1

c
1

d
13

Question 2 (4 points)
(07.05)

Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y? (4 points)

a
5y = 2

b
5y = 10

c
11y = 2

d
11y = 10

Question 3 (4 points)
(07.05)

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)

a
−4

b
−2

c
2

d
4

Question 4 (4 points)
(07.05)

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points)

a
None

b
One

c
Two

d
Infinitely many

Question 5 (4 points)
(07.05)

The work of a student trying to solve the equation 2(2x − 3) = 6 + 2x + 4 is shown below:

Step 1: 2(2x − 3) = 6 + 2x + 4
Step 2: 4x − 3 = 10 + 2x
Step 3: 4x − 2x = 10 + 3
Step 4: 2x = 13
Step 5: x = 6.5

In which step did the student first make an error and what is the correct step? (4 points)

a
Step 2: 4x − 6 = 10 + 2x

b
Step 2: 4x − 3 = 2 + 2x

c
Step 3: 4x + 2x = 10 + 3

d
Step 3: 4x − 2x = 10 - 3

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?

5. (04.07)which of the following exponential functions goes through the points (1, 12) and (2, 36)? (2 points)f(x) = 3(4)^xf(x) = 4(3)^-xf(x) = 3(4)^-xf(x) = 4(3)^x

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10