Algebra 2 Practice Test
40 questions from 40 lessons · 80 minutes · percent score and grade · step-by-step answers
How it works
- 40 questions, about 80 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Algebra 2 formula sheet.
1 Question 1
Solve h(x) = 10 − x, h(4)Type the answer.
2 Question 2
Is x = y2 a function- A) Yes
- B) No
3 Question 3
f(x) = x2 + 2, find x when f(x) = 27Type the answer.
4 Question 4
f(x) = x2 + 1, g(x) = x + 1, find (fg)(3)- A) 52
- B) 10
- C) 9
- D) 4
5 Question 5
Find the average rate of change of f(x) = x3 from x = 0 to x = 2.Type the answer.
6 Question 6
Solve f(x) = 7 − 2x, inverseType the answer.
7 Question 7
Find the inverse of f(x) = x3 − 2.Type the answer.
8 Question 8
Divide (3x2 − 10x + 3) ÷ (x − 3)Type the answer.
9 Question 9
−10, −6, −2, 2, ..., find the 25th termType the answer.
10 Question 10
Arithmetic sequence a_4 = 20, a_8 = 36, find the nth termType the answer.
11 Question 11
Find the sum from i = 1 to 5 of (2i + 1).Type the answer.
12 Question 12
Find the sum 20 + 10 + 5 + 52 + ...Type the answer.
13 Question 13
Expand (x − 1)3Type the answer.
14 Question 14
Calculate log_2(18)Type the answer.
15 Question 15
Solve ln(2x) = 1Type the answer.
16 Question 16
Solve log_2(x + 6) − log_2(x) = 2- A) x = 3
- B) x = 2
- C) x = 4
- D) x = 6
17 Question 17
$1500 is invested at 4% interest compounded daily. How much is in the account after 2 years?Type the answer.
18 Question 18
$2000 grows by 3% a year. How many years until it is $2600?Type the answer.
19 Question 19
A loan of $8,000 at 9% for 3 years is paid monthly. Find the monthly payment.- A) $222.222222
- B) PMT = $254.40
- C) PMT = $0.0912
- D) PMT = $9
20 Question 20
Find the domain of f(x) = √(x + 4).Type the answer.
21 Question 21
Write −x2 − 6x + 4 in vertex formType the answer.
22 Question 22
y = (x + 3)(x − 1): which form shows where it crosses the x axisType the answer.
23 Question 23
Simplify x2 − x − 6x2 − 9Type the answer.
24 Question 24
Simplify 4 − 121 + 34Type the answer.
25 Question 25
Simplify 3/(x(x + 1)) × (x + 1)/6Type the answer.
26 Question 26
Solve 2x − 1x + 1 >= 0Type the answer.
27 Question 27
Solve √(5 − x) = 3Type the answer.
28 Question 28
Simplify (4 − i) − (2 + 3i)Type the answer.
29 Question 29
Solve x6 − 26x3 − 27 = 0Type the answer.
30 Question 30
Solve x2 >= 3xType the answer.
31 Question 31
Calculate [1, 0; 0, 1] × [7, 2; −3, 5]Type the answer.
32 Question 32
Det [3, −2; −4, 1]Type the answer.
33 Question 33
Solve 3x + y = 5, x + y = 3 using the inverse matrixType the answer.
34 Question 34
Solve 3x + y = 1, 2x + 2y + z = −1, 3x + 2y + z = 0 by Cramer's ruleType the answer.
35 Question 35
Solve 3x + y = 13, x + y = 7 with a matrixType the answer.
36 Question 36
Solve x2 + y2 = 25 and y = 2x − 5Type the answer.
37 Question 37
f(x) = 2x if x < 0, x + 5 if x >= 0, find f(3)Type the answer.
38 Question 38
Zeros of f(x) = (x − 3)(x + 1)2Type the answer.
39 Question 39
Asymptotes of f(x) = 3x2 + 2x − 1x + 2Type the answer.
40 Question 40
Find all zeros of f(x) = x3 − 4x2 + x + 6- A) x = −1
- B) x = −1 or x = 2 or x = 3
- C) x = 1 or x = −2 or x = −3
- D) x = 1 or x = 2 or x = 3