Algebra 2 Practice Test: answer key

Every answer, with a link to its step-by-step solution

#	Answer	Lesson	Solution
1	h(4) = 6	Functions	Solved step by step
2	B No	Is it a function?	Solved step by step
3	x = 5 or x = −5	Solving f	Solved step by step
4	A 52	Dividing functions f/g	Solved step by step
5	4	Average rate of change	Solved step by step
6	(7 − x)/2	Composition and inverse functions	Solved step by step
7	∛(x + 2)	Inverses of non-linear functions	Solved step by step
8	3x − 1	Dividing polynomials	Solved step by step
9	a_25 = 86	Sequences	Solved step by step
10	a_n = 4n + 4	Sequences from two terms	Solved step by step
11	35	Sigma notation	Solved step by step
12	S = 40	Series	Solved step by step
13	x³ − 3x² + 3x − 1	The binomial theorem	Solved step by step
14	log_2(18) = −3	Exponential equations and logarithms	Solved step by step
15	x ≈ 1.359	Natural logarithms	Solved step by step
16	B x = 2	Log equations with false answers	Solved step by step
17	A ≈ $1624.92	Compound and continuous interest	Solved step by step
18	t ≈ 8.88	Half-life and time with logs	Solved step by step
19	B PMT = $254.40	Loan payments	Solved step by step
20	x ≥ −4	Domain and range	Solved step by step
21	−(x + 3)² + 13	Vertex form by completing the square	Solved step by step
22	points = (−3, 0) and (1, 0)	Which form shows what	Solved step by step
23	x + 2x + 3	Rational expressions	Solved step by step
24	2	Complex fractions	Solved step by step
25	12x	x and a bracket at the bottom	Solved step by step
26	x < −1 or x ≥ 12	Rational inequalities	Solved step by step
27	x = −4	Square root equations	Solved step by step
28	2 − 4i	Complex numbers	Solved step by step
29	x = −1, 3	Equations in quadratic form	Solved step by step
30	x ≤ 0 or x ≥ 3	Quadratic inequalities	Solved step by step
31	(7, 2, −3, 5)	Multiplying matrices	Solved step by step
32	D = −5	Determinants	Solved step by step
33	(x, y) = (1, 2)	Systems with the inverse matrix	Solved step by step
34	(x, y, z) = (1, −2, 1)	Cramer's rule with three equations	Solved step by step
35	(x, y) = (3, 4)	Augmented matrices	Solved step by step
36	(0, −5) and (4, 3)	Nonlinear systems	Solved step by step
37	f(3) = 8	Piecewise functions	Solved step by step
38	3 crosses, −1 touches	Polynomial graphs	Solved step by step
39	y = 3x − 4, x = −2	Slant asymptotes of rational functions	Solved step by step
40	B x = −1 or x = 2 or x = 3	Finding all zeros	Solved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.