College Algebra Quiz
Questions: 16 · 10 minutes
1. What is the product (3 + 2i)(1 - i)?
Real part 1 with imaginary coefficient negative one
Real part 5 with imaginary coefficient negative one
Real part 5 with imaginary coefficient positive one
Real part 3 with imaginary coefficient negative two
2. For the function f(x) = x² - 3x + 2, what output is produced by the input x = 4?
18
2
10
6
3. For nonzero x and y, which expression is equivalent to (x³y⁻²)²?
x to the fifth power divided by y to the fourth power
x to the sixth power divided by y to the fourth power
x to the sixth power multiplied by y to the fourth power
x to the sixth power divided by y to the second power
4. Which value solves √(x + 1) = x - 1?
x = 0
Both x = 0 and x = 3
x = 3
There is no real solution
5. Compared with the graph of y = x², how is the graph of y = (x + 2)² - 5 shifted?
Right 2 units and down 5 units
Left 2 units and up 5 units
Right 2 units and up 5 units
Left 2 units and down 5 units
6. Which ordered pair solves the system x + y = 7 and x - y = 1?
(3, 4)
(5, 2)
(4, 3)
(6, 1)
7. What is the remainder when P(x) = x³ - 2x + 5 is divided by x - 2?
9
7
5
13
8. Solve the equation 3(2x - 1) = 5x + 7.
The solution is positive ten
The solution is positive seven
The solution is positive four
The solution is negative ten
9. Solve log₂(x - 1) = 3.
x = 8
x = 7
x = 9
x = 10
10. What are the solutions of x² - 5x + 6 = 0?
Negative one and negative six
Negative two and negative three
Positive one and positive six
Positive two and positive three
11. A taxi ride costs a $4 base fare plus $2.50 per mile. If the total fare is $19, how many miles were traveled?
5 miles
6 miles
5.5 miles
7.6 miles
12. A population begins at 500 and grows by 4% each year. Which function models the population after t years?
P(t) = 500(1.04)ᵗ
P(t) = 500(0.04)ᵗ
P(t) = 500(0.96)ᵗ
P(t) = 500 + 0.04t
13. A linear rule subtracts 4 from an input and then divides the result by 3. Which rule reverses that process?
Divide x by three, then subtract four
Triple x, then add four
Add four to x, then divide by three
Triple x, then subtract four
14. Let f(x) = 2x + 1 and g(x) = x². What is f(g(3))?
13
37
19
49
15. Which set of values satisfies the inequality -2x + 5 > 11?
Values less than negative three
Values greater than negative three
Values less than positive three
Values greater than positive three
16. What is the domain of h(x) = (x + 1)/(x² - 9)?
All real numbers except 3
All real numbers except -1, -3, and 3
All real numbers greater than or equal to 3
All real numbers except -3 and 3