Algebra 1
Semester 1 Final Exam Review (Midterm Review) 30 Questions (16 pages)
The correct answer with an explanation is shown below the question.
All image and table credit and goes to Microsoft Copilot
Question 1: In one week, Michael worked 3 times as many hours as Ryan. In total, they worked
80 hours. How many hours did Michael work?
A: 40
B: 60
C: 20
D: 50
Correct Answer:
B: 60
Explanation:
The equation that can be used to describe this scenario is 3x+x=80, with 3x showing how much
Michael worked and x describing how much Ryan worked.
Combine like terms: 4x=80
Divide both sides by 4: x=20; this shows how much Ryan worked. Since Michael worked 3 times
the amount of hours Ryan worked, we can figure out that Michael works 60 hours.
Question 2: Which real-world situation could the graph be describing?
,Y-Axis = distance above/below ground level, X-Axis = Time Elapsed
(Image Credit: Copilot, made by AI)
A: The distance from the ground of a roller coaster (that goes underground).
B: The distance from the ground of a skydiver jumping off of a plane.
C: The distance from the ground of a hot air balloon during flight.
D: The distance from the ground of a rescue helicopter
Correct Answer:
A: The distance from the ground of a roller coaster (that goes underground).
, Explanation:
The roller coaster is the only option that would have the movements of going up and down while
also going below ground. Here is the problem with all the other options:
B: The distance from the ground of a skydiver jumping off of a plane
A graph showing this would have a negative slope the entire time and would have only one
straight line.
C: The distance from the ground of a hot air balloon during flight
The hot air balloon would go straight up at an even slope (with no curves) and straight down at
an even slope (with no curves) and would not be going underground
D: The distance from the ground of a rescue helicopter.
Very similar to the hot air balloon.
Question 3: A town has implemented several water conservation methods, which have resulted
in a steady reduction in water usage in the town. In 2015, the town used 90 million gallons of
water. Because of this, the town's water usage decreases by 10 million gallons each year. If you
modeled this situation with a linear function for ten more years, which of the following
statements is false?
A: Water usage is the dependent variable
B: The scale for water usage should include values less than 100 million
C: The scale for years should include values between 2015 and 2025
D: The y-axis should be labeled years.
Correct Answer:
D: The y-axis should be labeled years.
Explanation:
In a linear model, the independent variable should be plotted on the x-axis. In this situation, the
amount of years is the independent variable. Because of this, the y-axis should be labeled with
water usage, and the x-axis should be labeled with years. Statement D is false because it
incorrectly assigns which axis is labeled years.
Question 4: Which of the following expressions represents the phrase “16 less than the quotient
of 6 and a number.”
A: x/6-16
B: 16-x/16
C: 6/x-16
D: 16-6/x
Correct Answer:
C: 6/x-16
Semester 1 Final Exam Review (Midterm Review) 30 Questions (16 pages)
The correct answer with an explanation is shown below the question.
All image and table credit and goes to Microsoft Copilot
Question 1: In one week, Michael worked 3 times as many hours as Ryan. In total, they worked
80 hours. How many hours did Michael work?
A: 40
B: 60
C: 20
D: 50
Correct Answer:
B: 60
Explanation:
The equation that can be used to describe this scenario is 3x+x=80, with 3x showing how much
Michael worked and x describing how much Ryan worked.
Combine like terms: 4x=80
Divide both sides by 4: x=20; this shows how much Ryan worked. Since Michael worked 3 times
the amount of hours Ryan worked, we can figure out that Michael works 60 hours.
Question 2: Which real-world situation could the graph be describing?
,Y-Axis = distance above/below ground level, X-Axis = Time Elapsed
(Image Credit: Copilot, made by AI)
A: The distance from the ground of a roller coaster (that goes underground).
B: The distance from the ground of a skydiver jumping off of a plane.
C: The distance from the ground of a hot air balloon during flight.
D: The distance from the ground of a rescue helicopter
Correct Answer:
A: The distance from the ground of a roller coaster (that goes underground).
, Explanation:
The roller coaster is the only option that would have the movements of going up and down while
also going below ground. Here is the problem with all the other options:
B: The distance from the ground of a skydiver jumping off of a plane
A graph showing this would have a negative slope the entire time and would have only one
straight line.
C: The distance from the ground of a hot air balloon during flight
The hot air balloon would go straight up at an even slope (with no curves) and straight down at
an even slope (with no curves) and would not be going underground
D: The distance from the ground of a rescue helicopter.
Very similar to the hot air balloon.
Question 3: A town has implemented several water conservation methods, which have resulted
in a steady reduction in water usage in the town. In 2015, the town used 90 million gallons of
water. Because of this, the town's water usage decreases by 10 million gallons each year. If you
modeled this situation with a linear function for ten more years, which of the following
statements is false?
A: Water usage is the dependent variable
B: The scale for water usage should include values less than 100 million
C: The scale for years should include values between 2015 and 2025
D: The y-axis should be labeled years.
Correct Answer:
D: The y-axis should be labeled years.
Explanation:
In a linear model, the independent variable should be plotted on the x-axis. In this situation, the
amount of years is the independent variable. Because of this, the y-axis should be labeled with
water usage, and the x-axis should be labeled with years. Statement D is false because it
incorrectly assigns which axis is labeled years.
Question 4: Which of the following expressions represents the phrase “16 less than the quotient
of 6 and a number.”
A: x/6-16
B: 16-x/16
C: 6/x-16
D: 16-6/x
Correct Answer:
C: 6/x-16
