Name:___________________________________________________________________ Date:_________________________ Period:____________
Algebra I First Semester Final Review
Below is an overall list of topics that you will find on your Algebra I Fall Final.
Topics:
1. Evaluating an Equations
a. Given an equation, substitute a value for a
variable and solve
2. Solving Equations
a. Solve for a variable
b. Solve for y
3. Find Slope (Rate of change)
a. From a graph, table, points, etc.
4. Write equations
a. Use point slope form
b. Parallel Lines
c. Perpendicular Lines
d. Find points to new lines
e. Write equations from tables
5.
6.
7.
f. Write equations from graphs
Identify parts of a linear function
a. Parent Function
b. Interpret Slope
c. Interpret y intercept
d. Interpret x intercept
Domain and Range
a. Find from tables, maps, and graphs
Linear Inequalities
a. Graph a linear inequality
b. Regular line/dashed line
c. Shade up/Shade down
d. Identify if a point is a solution or not
We have provided you with some sample multiple-choice questions that are similar to ones that you will see on your final.
However, that does not mean that everything on your final is covered here. You are responsible for all content that we have
covered during the first semester. If you have any questions, please speak with your Algebra teacher.
1. Which of the following lines is parallel to the graph of 5x + 2y = 8?
a. 2x + 5y = 3
b. 5x – 2y = 6
c. –10x – 4y = 7
d. –10x + 4y = 9
2. Which of the following is not true about vertical lines?
a. Vertical lines are perpendicular to the
b. Vertical lines have undefined slope.
x-axis.
c. Vertical lines have equations of the
d. Vertical lines are parallel to the y-axis.
form y = b.
3. What is the equation of the line shown in the graph below?
a.
b.
y=
x+
y=
x+
c.
y=
x–
y=
x–
d.
4. For which value of x is 9x + 22 = 3x?
a. –33
b.
c. 66
d.
–
–
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5. Find a formula for the nth term of a sequence that begins 14.5, 16, 17.5, 19, 20.5, …. Assume the first term
corresponds to n=1.
A. 𝑎𝑛 = 14.5 − 15𝑛
C. 𝑎𝑛 = 13 − 15𝑛
B. 𝑎𝑛 = 14.5 + 1.5𝑛
D. 𝑎𝑛 = 13 + 1.5𝑛
6. Solve 3x + 8 = 2x – 7.
a. x = 3
b. x = –15
c. x = 15
d. x = –3
7. Evaluate f(2) if 𝑓(𝑥) = 𝑥 − 𝑥 3
a. –4
b. 4
c. 6
d. –6
8. Which of the following is an equation of the horizontal line that passes through the point (10, 14)?
a. y = 10
b. y = 14
c. x = 10
d. x = 14
9. Which of the below examples represents a linear relationship?
a. The area of a circle
b. The volume of a prism
c. Calculating the interest of a loan
d. How much someone makes per hour
10. The daytime speed limit on interstate and state highways in Texas is 70 miles per hour. At night, the maximum speed
is 65 miles per hour. In what way would the graph showing the distance traveled at night differ from the one showing
daytime travel?
a. The slope would decrease.
b. The slope would increase.
c. The y-intercept would decrease.
d. The x-intercept would increase.
11. Suppose 𝑓(𝑥) =
a.
c.
–
𝑥+2
𝑥
. Find f(–3).
b.
d.
–
12. Which of the following represents the solution to the inequality y > 3 – 2x ?
c.
a.
b.
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d.
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13. Solve 10(y + 7) = 12y for y.
7
2
a. 7
b.
c. 70
d. 35
11
14. Which of the following lines is not parallel to the graph of line 6x – 8y = 5?
a. 9x – 12y = 11
b. 3x = 7 – 4y
c. –6x + 8y = 3
d. 16y = 13 + 6x
15. What is the range of the function represented by the table of values below?
a. –9 ≤ y ≤ 9
b. –9 < y < 9
c. {–5, –2, 1, 4}
d. {–9, –3, 3, 9}
16. What of the below options is not true about the parent linear function?
a. Has a y intercept of 0
c. Is parallel to the x axis
b. Has a slope of 1
d. Passes through the origin.
17. The graph shows the distance to the destination to be travelled by a car from the time the driver leaves home to the
time he reaches his destination. Which of the following best describes the slope of the line segment?
a. The car is travelling at 60 km/hr.
c. The car is travelling at 30 km/hr.
b. The car is travelling at 40 km/hr.
d. The car is travelling at 20 km/hr.
18. Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b, on her gift card after
n lattes. What is the meaning of the x-intercept?
a. Nevaeh’s card is depleted after 10 lattes.
c. Each latte is $2.50.
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b. Nevaeh has $25 on her gift card.
d. Nevaeh has no money left on her card after 25 lattes.
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19. A table of values for a function f(x) is given below.
Which of the following is equal to f(4)?
a. 3
b. 5
c. 7
d. 5 and 7
20. Daren is taking a road trip. His equation for how far he is going is written as D = 200 + 65h where D is the distance
driven and h is the total hours of the trip. How many hours would Daren have to drive to reach 687.5 miles?
a. 8 hours
b. 7 .5 hours
c. 5.5 hours
d. 6 hours
21. What is the slope of the line containing the points (6, –5) and (9, –5)?
a. 0
b. Undefined
c.
d.
–
–
22. Solve for t: 7(t + 2) + 4t = 2t – 4.
a.
c.
–
–
b.
–
d. –2
23. What is the range of the following function?
a. –4 ≤ y ≤ 5
c. –2 ≤ y ≤ 1
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b. –4 < y < 5
d. –2 < y < 1
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24. What is the domain of the following function?
a. –4 < x < 1.5
c. –5 < y < 6
b. –4 ≤ x ≤ 1.5
d. –5 ≤ y ≤ 6
25. Which of the below points would be a solution to y < 4 – 2x?
a. ( 3, 8 )
b. ( 4, - 4 )
c. ( -3, 2 )
d. ( -1, 7 )
26. Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has y-intercept
at (0, –2)?
a. y = –2x + 7
b. y = 5(x - 2)
c. y = 5x – 2
d.
y=–
x–2
27. Which equation has a y intercept of ( 0 , 5) and an x intercept of (10, 0)?
a. 𝑦 = 1 𝑥 + 5
b. . 𝑦 = − 2𝑥 + 5
2
c. . 𝑦 = 2𝑥 + 10
d. . 𝑦 = − 1 𝑥 + 5
2
28. Samuel runs around a 100-meter track. He uses the linear equation y = 200 + 5x to describe how far he runs after he
has already jogged two laps. Which of the following best describes the slope of the linear equation?
a. Samuel runs 5 meters in 2 seconds.
b. Samuel runs 5 meters in 1 second.
c. Samuel runs 7.5 meters in 1 second.
d. Samuel runs 10 meters in 1 second.
29. The graph below illustrates the movement of a gondola down from a mountain.
What would happen if the slope was changed to –40?
a. The gondola would increase in speed.
b. The gondola would decrease in speed.
c. The gondola would stop.
d. The gondola would reverse direction.
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30. A customer ordered several pounds of snacks for a party. Each pound of peanuts cost $4, and each pound of cashews
cost $10. Let p be the number of pounds of peanuts and c be the number of pounds of cashews. If the customer spent at
least $100, which of following graphs represents the inequality determined by these conditions?
c.
d.
a.
b.
31. Which equation represents the equation of the line passing through the point A, parallel to the given line?
a. 𝑦 = − 1 𝑥 + 7
b. y = –3x + 7
c. y = 3x + 1
d.
3
3
y=–
x+2
32. Which of the following lines is parallel to the graph of y = –6x + 3 and passes through the point (–1, 4)?
a. 𝑦 = 1 𝑥 + 25
b. 𝑦 = 1 𝑥 + 4
6
6
6
c. y = –6x – 2
d. y = –6x + 4
33. What is the range of the function 2x + y = 7 if the domain is {–4, –2, 0, 5, 7}?
a. {–4, –2, 0, 5, 7}
b. {7}
c. {3, 5, 7, 12, 14}
d. {–7, –3, 7, 11, 15}
34. What are the x- and y-intercepts of the linear function 2x – 3y = 12?
a. (–6, 0) and (0, 4)
b. (–6, 0) and (0, –4)
c. (6, 0) and (0, 4)
d. (6, 0) and (0, –4)
35. The distance from Abilene to Amarillo is about 285 miles. Which of the following equations describes the remaining
distance to Amarillo for a car that travels from Abilene at a rate of 50 miles per hour?
a. y = 285 + 50x
b. y = 285 – 50x
c. y = 50 + 285x
d. y = 50 – 285x
Answers:
8. B
16. C
24. B
32. C
1. C
9. D
17. B
25. C
33. D
2. C
10. A
18. A
26. C
34. D
3. D
11. B
19. A
27. D
35 B
4. D
12. A
20. B
28. B
5. D
13. D
21. A
29. B
6. B
14. D
22. D
30. B
7. D
15. D
23. A
31. A
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