Additional FALL FINAL REVIEW Questions
Specific skills to review 
1. The dimensions of a rectangle are shown below. Write an expression to represent the perimeter of the
rectangle in simplest form.
2. In scatter plots, if the data displays a trend where all data points seem to follow a path, then there exists a
correlation. It is positive if the slope of the trend is positive, negative if the slope of the trend is negative, and
no correlation if the data points do not follow a trend, such as stars in the sky (points all over the coordinate
plane)
3. Evaluate |𝟗(𝒙 − 𝟑) − 𝟐(𝟐 + 𝒚)| 𝒘𝒉𝒆𝒏 𝒙 = 𝟒 𝒂𝒏𝒅 𝒚 = 𝟖
4. Evaluate
𝟕𝒂+𝟓
𝟒−𝒃
𝒘𝒉𝒆𝒏 𝒂 = 𝟑 𝒂𝒏𝒅 𝒃 = −𝟗
5. Solve 𝟓𝒙 − (𝒙 + 𝟒) = 𝟏𝟎 − 𝟐(𝒙 − 𝟖)
6. For a new customer, a video store charges $10 for a rental card plus $2 per movie. Write a variable equation
relating the cost for a new customer based on the number of movies rented. Identify the dependent and
independent variable. If the customer spent $18, how many movies did he rent?
7. A caterer is designing a wedding cake with f number of tiers that will have a cake topper measuring 4 inches
tall. Each tier of the cake will be 5 inches high. Write a function, h(t), that can be used to calculate the total
height of the cake in terms of the number of tiers, t, the cake will have, including the cake topper.
8. Identify the domain and the range of the following function.
D: ________________________
R: ________________________
9. Identify the domain and the range of the following relation and state whether it is a function or not.
10. Which of the following represent functions?
Yes
No
Yes
No
Yes
No
11. In the problem below, which line contains an error?
Line 1:
Line 2:
Line 3:
Line 4:
A. Line 1
−2𝑥 − 3(𝑥 − 5) = 10
−2𝑥 − 3𝑥 + 15 = 10
−𝑥 + 15 = 10
−𝑥 = −5
𝑥=5
B. Line 2
C. Line 3
Given
Distributive Property
Combining Like Terms
Subtraction Property of Equality
Division Property of Equality
D. Line 4
12. Simplify the following expression 𝟕(𝟏 − 𝟗𝒌) − 𝟓(𝟒𝒌 + 𝟕)
Yes
No
13.
14. What is the slope of 𝟏𝟎𝒙 + 𝟖𝒚 = −𝟒𝟎? 𝑾𝒉𝒂𝒕 𝒊𝒔 𝒕𝒉𝒆 𝒚 − 𝒊𝒏𝒕𝒆𝒓𝒄𝒆𝒑𝒕? 𝑾𝒉𝒂𝒕 𝒊𝒔 𝒕𝒉𝒆 𝒙 − 𝒊𝒏𝒕𝒆𝒓𝒄𝒆𝒑𝒕?
15. What is the slope of the y-axis? ___________ Write an equation parallel to the y-axis ________________
What is the slope of the x-axis? ___________ Write an equation parallel to the x-axis ________________
16. Sketch a graph of the following equations:
𝟏
17. The graph of 𝒇(𝒙) = − 𝟐 𝒙 − 𝟏 is graphed below. If this line is translated 4 units down, which equation best
represents the new line?
𝟐
18. What is the x-intercept of the following line: 𝒚 = − 𝟓 𝒙 + 𝟑
19. Compare the following two functions: 𝒇(𝒙) =
𝟐
𝒙
𝟑
𝟑
− 𝟑 𝒂𝒏𝒅 𝒇(𝒙) = 𝟐 𝒙 − 𝟑
Slope: ____________
Is the first line steeper or flatter? __________________
Y-intercept: ________________
X-intercept: ________________
Parallel, perpendicular, or neither: _____________________
20. The slope of a line is the same as the rate of change that the variables represent. Slope =
𝒓𝒊𝒔𝒆
𝒓𝒖𝒏
Which segment shows the greatest rate of change?
Positive or negative?
After 10 months:
As the loan response decreases, the
unemployment rate response
_________________
As the securities response increases, the loans
response ________________
21. For the graph shown, if the x-intercept was changed to +2 and the slope remain unchanged how will the graph
change?
Parallel, perpendicular, neither? ________________
Will lines intersect? ____________
Will they have the same y-intersect? _____________
22. Anna earns money by making bracelets. She spent $155 in supplies and will sell each bracelet for $7. Her
profit, p, can be represented by 𝒑(𝒃) = 𝟕𝒃 − 𝟏𝟓𝟓, where b is the number of bracelets she sells. What is the
minimum number of bracelets Anna must sell to make a profit?
23. The total earnings is a function of hours worked. IV _____________________ DV _______________________
C=.10m+30 is a function representing a cell calling plan. IV ___________________ DV ___________________
The gas left in the tank is a function of miles driven. IV ____________________ DV _____________________
L(d)=2+.15d describes the late fee for a library book in terms of # of days late. IV _______________________
DV ______________________