Algebra 2 Quiz
Questions: 16 · 10 minutes
1. At a school event, 30 tickets were sold. Adult tickets cost $12, child tickets cost $8, and total sales were $296. How many adult tickets were sold?
14 adult tickets
16 adult tickets
12 adult tickets
18 adult tickets
2. What are the solutions of x² - 5x + 6 = 0?
The roots are 1 and 6.
Both roots are negative: -2 and -3.
The roots are 2 and 3.
Both roots are negative: -1 and -6.
3. What is the real solution of 1/(x - 2) = 3/(x + 2)?
The valid solution is x = 4.
x = -2, although it makes the second denominator zero.
x = 2, although it makes the first denominator zero.
Cross-multiplication gives x = -4.
4. An account starts with $500 and grows by 6% each year. Which function models its balance after t years?
B(t) = 500(0.94)^t
B(t) = 500(1.06)^t
B(t) = 500 + 1.06t
B(t) = 500(6)^t
5. Solve log₂(x - 1) = 3.
x = 7
x = 9
x = 4
x = 10
6. What is the remainder when P(x) = x³ - 2x² + 4x - 5 is divided by x - 2?
A remainder of negative five
A remainder equal to the divisor's zero, 2
A remainder of positive five
A remainder of three
7. Let f(x) = 2x + 1 and g(x) = x². What is f(g(-3))?
-5
-17
49
19
8. Which sequence of transformations changes y = x² into y = -(x + 2)² + 3?
Shift right 2, reflect across the x-axis, then shift up 3.
Shift left 2, reflect across the y-axis, then shift up 3.
Shift left 2, reflect across the x-axis, then shift down 3.
Shift left 2, reflect across the x-axis, then shift up 3.
9. For y = 2(x - 3)² - 5, what is the vertex of the parabola?
(-3, -5), from treating the horizontal shift as negative
(3, -5), read from the function's vertex form
(3, 5), from reversing the vertical shift
(-3, 5), from reversing both shift directions
10. Solve √(x + 5) = x - 1 over the real numbers.
x = -1 only
x = -1 and x = 4
x = 4 only
There is no real solution.
11. If f(x) = 3x - 7, which expression gives f⁻¹(x)?
3x + 7, which adds before multiplying
(x - 7)/3, which keeps the original subtraction sign
(x + 7)/3, which reverses the original operations
1/(3x - 7), which takes the reciprocal of the function
12. What does the discriminant reveal about the solutions of x² + 4x + 7 = 0?
There are two distinct real solutions.
There is one repeated real solution.
The equation is true for every real number.
There are two nonreal complex solutions.
13. The arithmetic sequence 7, 12, 17, 22, ... continues with the same pattern. What is its 20th term?
102
100
107
95
14. Simplify (3 + 2i)(1 - i).
1 - 5i, obtained by combining the real terms incorrectly
5 + i, obtained by using the wrong sign for the imaginary term
5 - i, after applying i² = -1
3 - 2i, from distributing only part of the product
15. A ball's height in feet is modeled by h(t) = -16t² + 64t + 5, where t is time in seconds. When does the ball reach its maximum height?
After 2 seconds
After 4 seconds
After 5 seconds
After 1 second
16. Which interval is the solution to |2x - 3| < 5?
x < -1 or x > 4
-1 < x < 4
-4 < x < 1
-5 < x < 5