Algebra 1
Final Exam Review Packet
The questions in this packet are a guide to help you prepare for the final exam. You should not
study ONLY this packet. You should also study your class notes, tests/quizzes, and homework
problems.
Topics:
Chapter 4 (4.1-4.4)
To graph equations in slope-intercept form
To write an equation of a line in slope-intercept form
To write equations that are parallel / perpendicular to a line
Chapter 5 (5.1-5.6)
To solve inequalities and graph
To solve compound inequalities and graph (and / or)
To solve absolute value inequalities and graph
To graph linear inequalities (dotted or dashed line and shading)
Chapter 6 (6.1-6.6)– Systems of Equations and Inequalities
To solve systems of linear equations by graphing, substitution, and elimination
To graph linear inequalities and systems of linear inequalities (dotted or dashed line and shading)
Chapter 7 (7.1-7.2, 7.4) – Exponents and Exponential Functions
To apply properties of exponents
To perform operations on numbers in scientific notation
Algebra I Final Exam Review Packet.
Sketch the Graph of each line.
1.
2.
3.
Write the slope-intercept form of the equation given the slope and y-intercept.
4a.
4b.
Write the slope-intercept form of the equation given the a point and slope.
5a..
5b.
Write the slope-intercept form of the equation given two points.
6a.
6b.
Write an equation in slope-intercept form for the line that passes through the given point and is
parallel to the graph of the equation
7a.
7b.
Write an equation in slope-intercept form for the line that passes through the given point and is
perpendicular to the graph of the equation
8a.
8b.
Graph the inequalities.
9a. 3 t + 1
9b.
1
9c. 5m < –25
9d.
6y – 8 > 4y + 26
10a. Write an inequality that best describes this graph?
11.
Solve |x – 3| 1 and graph.
12.
Solve 2| x +4| < 6 and graph.
13. Graph y 1 on a coordinate plane.
14. Graph y < –x + 2
15. Is (3, -1) a solution to 3y + x < 6
16. Solve and graph -5 < 2x + 1 < 9
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.
17. y = –5x + 3
y = –5x – 3
18. y = x + 6
y = –2x – 3
Solve the system of equations using substitution.
19. 3x + 2y = 7
y = –3x + 11
20. 𝑥 + 7𝑦 = 5
−2𝑥 − 14𝑦 = −4
Solve the system using elimination.
21. 5x + 8y = –29
7x – 2y = –67
22. 2x – 2y = –8
x + 2y = –1
Graph the inequality.
23.
Graph systems of linear inequalities.
24. 𝑦 > 𝑥 − 3
𝑥≥1
25. 𝑥 − 𝑦 < 1
𝑥+𝑦 ≥3
Write the linear inequality shown in the graph.
26.
y
4
2
–4
–2
O
–2
–4
2
4
x
Simplify the expression.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
Write the number in scientific notation.
39. 0.000344
Write the number in standard notation.
40.
Simplify the expression. Write the answer using scientific notation.
41.