Name: _______________________________
Math 120 Final Exam Review
This will be a cumulative exam.
This is NOT an exhaustive list of exercise problems. Please use the worksheet packet, the homework, and quizzes
to study for the test.
1. One angle of a triangle is four times the measure of a second angle. The third angle measures 5 degrees more
than twice the second angle. Find the measure of the angles.
2. If Joe invested $4,000 into a CD (certificate of deposit) at a simple interest rate of 2% for 10 years. What is the
total amount of money (principal + interest) will he have at the end of the contract period of 10 years?
3. Solve the equation for the given variable.
4. Simplify the following exponential expression. Simplified form must contain only positive exponents.
a. b. c.
,5. Graph the equation by plotting points. Show your work by making a table of values.
a. 𝑦𝑦 = 3𝑥𝑥 + 2 b. 𝑦𝑦 = 2|𝑥𝑥| − 3 c. 𝑦𝑦 = 𝑥𝑥 2 + 1
6. Determine the DOMAIN AND RANGE of the function. Write your answer in interval notation. If the graph goes
off of the grid assume that it continues in that direction indefinitely.
a. b. c.
7. Determine if the following are functions:
a. b. c. 𝑥𝑥 + 𝑦𝑦 3 = 4
8. Determine the domain of the function. Use interval notation.
3𝑥𝑥−1 4𝑥𝑥+2
a. 𝑓𝑓(𝑥𝑥) = √3𝑥𝑥 − 1 b. 𝑔𝑔(𝑥𝑥) = 2 −9 c. ℎ(𝑥𝑥) =
𝑥𝑥 √4𝑥𝑥−2
9. Find the equation of a line that is perpendicular to 𝑦𝑦 = 4𝑥𝑥 − 2 and goes through the point (2,-3)
, 10. Find the equation of a line that is parallel to 2𝑥𝑥 + 3𝑦𝑦 = 12 and goes through the point (4,-2).
11. Determine the x and y intercepts of the graph of 2𝑥𝑥 − 3𝑦𝑦 = 12. Write your answer as coordinate points.
𝑓𝑓
12. Find the sum 𝑓𝑓 + 𝑔𝑔, difference 𝑓𝑓 − 𝑔𝑔, product 𝑓𝑓 ⋅ 𝑔𝑔 and quotient of the functions:
𝑔𝑔
𝑓𝑓(𝑥𝑥) = 𝑥𝑥 + 4 𝑔𝑔(𝑥𝑥) = 𝑥𝑥 2 + 1
13. Is the point (-4,-1) a solution to the following system of linear equations?
2𝑥𝑥 − 3𝑦𝑦 = −5
�
4 + 3𝑦𝑦 = 2𝑥𝑥
14. Solve the following systems of equation via elimination or substitution. Show your work.
15. Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the
speed of the plane in still air and the speed of the wind.
Math 120 Final Exam Review
This will be a cumulative exam.
This is NOT an exhaustive list of exercise problems. Please use the worksheet packet, the homework, and quizzes
to study for the test.
1. One angle of a triangle is four times the measure of a second angle. The third angle measures 5 degrees more
than twice the second angle. Find the measure of the angles.
2. If Joe invested $4,000 into a CD (certificate of deposit) at a simple interest rate of 2% for 10 years. What is the
total amount of money (principal + interest) will he have at the end of the contract period of 10 years?
3. Solve the equation for the given variable.
4. Simplify the following exponential expression. Simplified form must contain only positive exponents.
a. b. c.
,5. Graph the equation by plotting points. Show your work by making a table of values.
a. 𝑦𝑦 = 3𝑥𝑥 + 2 b. 𝑦𝑦 = 2|𝑥𝑥| − 3 c. 𝑦𝑦 = 𝑥𝑥 2 + 1
6. Determine the DOMAIN AND RANGE of the function. Write your answer in interval notation. If the graph goes
off of the grid assume that it continues in that direction indefinitely.
a. b. c.
7. Determine if the following are functions:
a. b. c. 𝑥𝑥 + 𝑦𝑦 3 = 4
8. Determine the domain of the function. Use interval notation.
3𝑥𝑥−1 4𝑥𝑥+2
a. 𝑓𝑓(𝑥𝑥) = √3𝑥𝑥 − 1 b. 𝑔𝑔(𝑥𝑥) = 2 −9 c. ℎ(𝑥𝑥) =
𝑥𝑥 √4𝑥𝑥−2
9. Find the equation of a line that is perpendicular to 𝑦𝑦 = 4𝑥𝑥 − 2 and goes through the point (2,-3)
, 10. Find the equation of a line that is parallel to 2𝑥𝑥 + 3𝑦𝑦 = 12 and goes through the point (4,-2).
11. Determine the x and y intercepts of the graph of 2𝑥𝑥 − 3𝑦𝑦 = 12. Write your answer as coordinate points.
𝑓𝑓
12. Find the sum 𝑓𝑓 + 𝑔𝑔, difference 𝑓𝑓 − 𝑔𝑔, product 𝑓𝑓 ⋅ 𝑔𝑔 and quotient of the functions:
𝑔𝑔
𝑓𝑓(𝑥𝑥) = 𝑥𝑥 + 4 𝑔𝑔(𝑥𝑥) = 𝑥𝑥 2 + 1
13. Is the point (-4,-1) a solution to the following system of linear equations?
2𝑥𝑥 − 3𝑦𝑦 = −5
�
4 + 3𝑦𝑦 = 2𝑥𝑥
14. Solve the following systems of equation via elimination or substitution. Show your work.
15. Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the
speed of the plane in still air and the speed of the wind.
