Algebra II Honors Semester 1 Exam Review

Study Notes

Algebra II Honors Semester 1 Exam Review

Exam Coverage: Chapters 1-5
Number of Questions: 50
Questions per Chapter: 10
Points per Question: 2
Time Allotted: Approximately 90 minutes (≈ 2 minutes per question)
Question Type: Multiple Choice
Calculator Allowed: Graphing calculators permitted (no sharing)
Review Similarity: Exam will be similar to the review. Successful review completion indicates exam preparedness.
Additional Review: Digital exam reviews are available on Canvas (Modules tab). Delta Math provides practice with new questions.

Exam Grading

Required Exam: Students requiring the exam (more than 10 absences or semester average below 92%) will have their grade calculated as:
- Semester Grade = (0.40 x Q1) + (0.40 x Q2) + (0.20 x Exam)
Exempt Exam: Students exempt from the exam (less than 10 absences and semester average above 92%) will have their grade calculated as:
- Semester Grade = (0.50 x Q1) + (0.50 x Q2)

Sample Questions (Algebraic Properties)

Problem 1: Represent "A number is subtracted from 4" as an algebraic expression. Answer: 4 - x
Problem 2: Use the distributive property to write an equivalent expression for 5(p + 5q). Answer: 5p + 25q
Problem 3: When solving 1(-3x) = -2, what property justifies the step (1-3)x=-2? Answer: Distributive Property of Multiplication over Addition
Problem 4: Gabrielle's first step when solving 5x - 5 = 4 is 5x =9. Which property justifies this? Answer: Addition property of equality
Problem 5: When solving -3(x + 1) = -4, Francesca simplifies the equation to -3x - 3 = -4. Which property justifies this step? Answer: Distributive Property of multiplication over addition

Sample Questions (Simplifying Expressions)

Problem 6: Simplify: t +t+t+t + v+v+v+v+v Answer: 4t + 4v
Problem 7: Simplify: f+f+f+f+g+g+g Answer: 4f + 3g
Problem 8: Simplify: 4n – 8(7n – 7) Answer: -52n + 56
Problem 9: Simplify: -2(0.5k + 0.1) - 5k Answer: -7k - 0.2

Sample Questions (Solving Equations/Inequalities)

Problem 11: Solve for x: -4(2x + 2) – x – 5 = 23 Answer: x = -6
Problem 12: Solve for x: 1/2*[10=(5x - 10)] Answer: x= 6
Problem 13: Solve for x: (x - 5 / 5) + 8/5 = 2/5 + 6/6 Answer: x = 6/5

Additional Topics (Review)

Problem 15: Benjamin is the middle child of three siblings with consecutive ages. The sum of the ages is 93. What is Benjamin's age? Answer: 31
Problem 16: Solve for a in 2B(F + a) = H Answer: a = (H-2BF) / 2B
Problem 17: Solve for n: 5-3(-6n-9)< -5n -3 +4. Answer: n >-1/3
Problem 18: Solve |x - 5| ≥ 6 Answer: x ≤ −1 or x ≥ 11
Problem 19: Solve for c in 15 = |c - 9| Answer: c= 24 or c = 6
Problem 20: Solve for x and graph the solution on a number line: 54 > -5x + 9 > -21 Answer: -3 < x < 11
Problem 21: Point that lies in the second quadrant Answer: (-7,-7)
Problem 22: Which point on the graph of y=f(x) could be used to find f(-5)? Answer: Depends on the graph.
Problem 23: Find the x- and y-intercepts of x+8y=29 Answer: x-intercept = 29 and y-intercept = 29/8
Problem 24: Find the equation represented by the graph. Answer: Depends on the graph
Problem 25: Find slope of a line perpendicular to 2x + 10y = 100 Answer: slope = -1/5
Problem 26: What does (1, 5.74) represent? Answer: Depends on the cost graph.
Problem 27: Graph y = 7. Answer: This is a horizontal line.
Problem 28: What is the equation of the line that passes through (-3, -4) with a slope of 5/2 Answer: Depends on the graph
Problem 29: What is the equation of a line passing through (-5, -7) and (5, -1)? Answer: y = -1/5x -6
Problem 30: Find a point in the solution set of y≥x+6 and y < -3x - 6 Answer: Depends on the graph
Problem 31 and 32: Solve systems of linear equations graphically or substitute Answers: Depends on the specific system shown
Problem 33: Solve by substitution x=9y and 2x-2y = -16 Answer: x=-36 and y = -4
Problem 34: Solve by substitution y = -6x-7 and 7x+y=-3 Answer: x=-2 and y=5
Problem 35-41 and 43-50: These problems deal with systems of equations (linear and non-linear - including matrix problems). The answers would depend on the numerical equations or matrix representations shown.