Algebra II practice questions

Original questions for every topic, Part I style multiple choice with worked answers, and constructed-response questions where each step you type is checked.

Topics	Ten, from rational exponents and complex numbers to probability
Question types	Part I style multiple choice and Parts II to IV style constructed response
Timed checks	Two Part I style checks of 24 questions

Try 4 questions

Question 1Part I style

Values of p(x): at x = −2, p(x) = −28; at x = −1, p(x) = 0; at x = 0, p(x) = 6; at x = 1, p(x) = 2; at x = 2, p(x) = 0.
$x$	$p(x)$
−2	−28
−1	0
0	6
1	2
2	0

The table shows some values of a cubic polynomial function

p(x)

whose leading coefficient is 2. What is the third zero of

p(x)

Question 2Part I style

The graph of the linear function

f

is shown. Which equation represents

f^{-1}

Question 3Part I style

What is the radian measure of an angle of

225^\circ

Question 4Part I style

Lunch choices of 190 students. Grade 10: hot lunch 46, packed lunch 38, cafe 16, total 100. Grade 11: hot lunch 31, packed lunch 27, cafe 32, total 90. Totals: hot lunch 77, packed lunch 65, cafe 48, total 190.
Grade	Hot lunch	Packed lunch	Cafe	Total
Grade 10	46	38	16	100
Grade 11	31	27	32	90
Total	77	65	48	190

The table shows the lunch choices of 190 students. A student in grade 11 is chosen at random. What is the probability that the student brings a packed lunch?

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Questions people ask

Are these past exam questions?

No. Every question is written for this course, with its own graphs and numbers.