Name: _________________________________ Date: _____________________ Period:____________
Algebra II Honors
Semester 1 Exam Review
MA.912.A.10.3 – Decide whether a given statement is always, sometimes, or never true (statements involving
linear or quadratic expressions, equations or inequalities, rational or radical expressions, or logarithmic or
exponential functions.
1. Determine whether the relation is a function;
x
-4
-1
1
2
2
Also whether it is discrete or continuous;
y
8
4
1
-1
-2
2. Find the slope of the line that goes through the two points (4, 7) & (-3, 5)
MA.9.12.3.10 – Write an equation of a line given any of the following information: two points on the line, its
slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line,
or perpendicular to a given line, through a given point on the new line.
3. slope
1
through (6, -1)
3
4. perpendicular to y 
1
x  4 through (-2, 4)
4
MA.912.A.2.6 – Identify & graph common functions (including but not limited to linear, rational, quadratic,
cubic, radical, absolute value).
 4y 
3
x6
5
5. Rewrite the equation in standard form.
6. Identify the x- & y- intercepts
MA.912.A.2.9 – Recognize, interpret, and graph functions defined piece-wise, with and without technology.
Graph.
 x  1ifx  2
2 xifx  2
7. y  
8. y  x  4
MA.912.A.2.5 – Graph absolute value equations and inequalities in two variables.
Graph.
9. y  3 x  4
10. y  x  3
MA.912.A.3.14 – Solve systems of linear equations and inequalities in two and three variables using graphical,
substitution, and elimination methods.
x  y  4
x  3 y  9
11. Graph 
3x  y  5
6 x  4 y  16
12. Solve the system of equations 
MA.9.12.A.3.15 – Solve real-world problems involving systems of linear equations and inequalities in two and
three variables.
13. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the
school sold 6 senior citizen tickets and 2 child ticket for a total of $76. The school took in $104 on the second day
by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
14. The senior classes at High School A and High School B planned separate trips to New York City. The senior
class at High School A rented and filled 2 van and 12 buses with 744 students. High School B rented and filled 8
vans and 24 buses with 1560 students. Each van and each bus carried the same number of students. How many
students can a van carry? How many students can a bus carry?
MA.912.A.7.6 – Identify the axis of symmetry, vertex, domain, range, & intercepts of a given parabola.
15. Give the vertex of y  2 x 2  16 x  24
16. Solve for x 2  6 x  7  0
MA.912.A.4.3 – Factor polynomial expressions.
Solve the quadratic equations by factoring:
17. x 2  16  0
18. 2 x 2  16 x  24  0
MA.912.A.1.6 – Identify the real & imaginary parts of complex numbers and perform basic operations.
Simplify:
19. i 43
20. (4  3i )(3  2i )
MA.912.A.7.3 – Solve the quadratic equations by completing the square.
21. x 2  4 x  5  0
22. x 2  8 x  37  0
MA.9.12.A.7.5 – Solve quadratic equations over the complex number system.
Use the Quadratic Formula in order to solve for the roots of following quadratic equations:
23. 0   x 2  7 x  19
24. 0  x 2  5 x  16
MA.9.12.A.7.4 – Use the discriminant to determine the nature of the roots of a quadratic equation.
Find the discriminant of the following quadratic equations. Then, describe the roots of the equation.
25. y  x 2  4 x  2
26. y  7 x 2  3x  8
MA.912.A.2.10 – Describe and graph transformations of functions.
Describe the transformation (translation, dilation, reflection) or the following equations:
27. y   x  2
28. y  x 2  3x  2
MA.9.12.A.4.11 – Solve a polynomial inequality by examining the graph with and without the use of
technology.
Solve the inequalities by graphing:
29. 0  x 2  4 x  3
30. 0  x 2  7 x  10