Download Algebra Mid-Term Review 1. The formula for converting Celsius to

Algebra Mid-Term Review
1. The formula for converting Celsius to Fahrenheit can be found using C = —(F-32) . Solve
the formula for the variable F, degrees Fahrenheit.
2. Solve —2(x — 4) + 5x = -3(x - 2) .
3. The sum of the angle measures of a pentagon are 5400. The measures of three angles
of a pentagon are each 3 times the measure of the other two angles. What is the
measure of each angle of the pentagon? Round your answers to the nearest tenth of a
degree.
4. Anne is planning a trip to California. She has found a hotel that will charge $75 for
parking, $50 for unlimited WiFi, and $125 per night. If her goal is to keep the average
cost per night between $150 and $175, for how many nights must she book the hotel?
Write an inequality that represents the circumstance and solve.
5. Which compound inequality is represented by the graph?
-3 -2. -1 0 1 2 3 4 5
A. - 2 < 2x < 5
B. -2
< 2x + 1 < 5
C. -3 < 2x +1 < 11
D. —3 <2x + l< 11
The graph below shows the function f(x). Use the graph to answer numbers 6 - 9.
6. f(4)
7. the value(s) of x when f(x) = 0
8. the range of f(x)
9 . the domain of f(x)
10. The table shows the cost per hour for a local lawn service.
Time, h
(hours)
Charge, f
1
60
2
85
3
110
4
135
($)
Write a function rule that represents this situation.
11.Write the arithmetic sequence rule for the
7, 11, 15, 19
term of the following sequence:
12.The ordered pairs are on the graph of an inverse variation. Find the missing value.
(5, 8) and (4, m).
13.The time it takes you to get to campus varies inversely as your driving speed. Averaging
20 miles per hour in bad traffic, it takes you 1.5 hours to get to campus. How long would
the trip take averaging 50 miles per hour?.
14. The ordered pairs below are for the same direct variation. Find the missing value.
(3, 2) and (6 , y)
15.The amount of money raised at a charity fundraiser varies directly with the number of
attendees. The amount of money raised for five attendees was $100. How much money
will be raised for 60 attendees?
16. Use an equation to find the value of k so that the line that passes through the given
points has the given slope.
(4,
4), (k,
); ni
17. A brand new notebook has 1000 pages. On the 50th day of school, the notebook has
850 pages left. Assuming that the pages of the notebook go down at a constant rate,
what will be the decrease in pages from the beginning of school to the 150th day of
school?
A. 550
B. 500
C. 450
D. 400
18.
A software company started with 2 employees. In 6 months, the company
had 7 employees. The number of employees increased at a steady rate.
Which equation models the relationship between the number of
employees n and the number of months in since the company started?
= 2n +
A. n =
4. 2
Cn =
+2
D.m= n± 2
19. Write the equation of the line that passes through the points (3, 7) and (6, 19) in pointslope form, slope intercept form AND standard form.
20. The table shows the durations x (in minutes) of several eruptions of the geyser Old
Faithful and the times y (in minutes) until the next eruption. Use a graphing calculator to
find an equation oi the line of best fit and use that equation to approximate the duration of
the eruption if the time until the next eruption is 95 minutes. Round your final answer to
the nearest hundredth.
I Duration, x
Time, y
2,0 3.7 4.2 1.9 3.1 23 4.4 3.9
g3
5g 72
21. If (x, y) is a solution to the system of equations below, what is the value of x 2 ?
5x2+y 2 =84
y = 4x
A.2
B. 16
0.4
D.21
22. The indoor climbing gym is a popular field trip destination. This year Seaholm High
School and Groves High School both planned trips there. Seaholm rented and filled 7
vans and 14 buses with 798 students. Groves rented and filled 11 vans and 7 buses with
474 students. Each van and each bus carried the same number of students. Model this
situation with algebra in order to find the number of students in each van and in each bus.