End of Semester Test: Algebra 2B practice Questions and Correct Answers/ Latest Update / Already Graded

Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms.Walker starts the fund by depositing $5. Each week the balance of the fund is twice the balance of the previous week. Which equation can be used to find the number of weeks, x, after which the balance of the fund will reach 1,280, and how many weeks will it take to reach the class goal? Ans: 5(2)^x = 1,280; x = 8 Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. Ans: WRONG - 17,930 (0.81)^x _ 1900 Which expressions are equivalent to the given expression. Ans: log10(20x^5) - 1, log10 (10x) Match each logarithmic equation to its corresponding x-value Ans: log5x=4 — 625 log4x=2 — 16 All rights reserved © 2025/ 2026 | Page | 2 log10x=3 — 1,000 log2x=5 — 32 What value of x satisfies this equation? 1.5(4)^2x = 12 Ans: 0.75 What is the approximate solution to this equation? 4Inx - 8 = 12 Ans: x ≈ 148.4 If function f is the parent exponential function f(x) = e^x. What is the equation of transformed function g in terms Ans: g(x) = 3f(x) Consider the graph of the function f(x) = 10^x, what is the range of function g if g(x) = -2f(x) + 1 Ans: (- infinity, 1) Which statements are true about the graph of function f? Ans: PARTIALLY WRONG - The graph has a range of {y| - infinity x infinity} and decreases as x approaches 0 All rights reserved © 2025/ 2026 | Page | 3 (this is correct but it's not the only answer) Consider the graph of the function f(x) = In x, match each transformation of function f with a feature of the transformed function. Ans: j(x) = f(x) -1/2 — vertical asymptote of x = 0 h(x) = f(x - 1/2) — y-intercept at (0,-1/2) WRONG (should be x intercept at (1.5,0) by default but idk) g(x) = -1/2f(x - 2) — function decreases as x increases Determine the explicit for of the function that describes the sequence below, 16, 24, 36, 54... Ans: f(n) = 16(3/2)^(n - 1)