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.

x / -4 / -1 / 1 / 2 / 2
y / 8 / 4 / 1 / -1 / -2

1. Determine whether the relation is a function;

Also whether it is discrete or continuous;

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 through (6, -1)4. perpendicular to through (-2, 4)

MA.912.A.2.6 – Identify & graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).

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.

7. 8.

MA.912.A.2.5 – Graph absolute value equations and inequalities in two variables.

Graph.

9. 10.

MA.912.A.3.14 – Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

11. Graph 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 salesthe school sold 6 senior citizen tickets and 2 child ticket for a total of $76. The school took in $104 onthe second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizenticket 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. Thesenior class at High School A rented and filled 2 van and 12 buses with 744 students. High School Brented and filled 8 vans and 24 buses with 1560 students. Each van and each bus carried the samenumber 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 16. Solve for

MA.912.A.4.3 – Factor polynomial expressions.

Solve the quadratic equations by factoring:

17. 18.

MA.912.A.1.6 – Identify the real & imaginary parts of complex numbers and perform basic operations.

Simplify:

19. 20.

MA.912.A.7.3 – Solve the quadratic equations by completing the square.

21. 22.

MA.9.12.A.7.5 – Solve quadratic equations over the complex number system.

Name: ______Date: ______Period:______

Algebra II Honors Chapter 3 Systems of Linear Equations & Inequalities Post-Test

Use the Quadratic Formula in order to solve for the roots of following quadratic equations:

23. 24.

Name: ______Date: ______Period:______

Algebra II Honors Chapter 3 Systems of Linear Equations & Inequalities Post-Test

Name: ______Date: ______Period:______

Algebra II Honors Chapter 3 Systems of Linear Equations & Inequalities Post-Test

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. 26.

MA.912.A.2.10 – Describe and graph transformations of functions.

Name: ______Date: ______Period:______

Algebra II Honors Chapter 3 Systems of Linear Equations & Inequalities Post-Test

Describe the transformation (translation, dilation, reflection) or the following equations:

27. 28.

Name: ______Date: ______Period:______

Algebra II Honors Chapter 3 Systems of Linear Equations & Inequalities Post-Test

MA.9.12.A.4.11 – Solve a polynomial inequality by examining the graph with and without the use of technology.

Name: ______Date: ______Period:______

Algebra II Honors __ Chapter 5 (5.1 – 5.4) Quadratic Functions & Relations __Post-Test

Solve the inequalities by graphing:

29. 30.

Name: ______Date: ______Period:______

Algebra II Honors __ Chapter 5 (5.1 – 5.4) Quadratic Functions & Relations __Post-Test