Algebra Common Core Regents Quiz

What is the total cost function for a kayak tour package if the company charges $35 per person and $245 for the tour guide?

• c(x) = 35x - 245

• c(x) = 245x + 35

• c(x) = 35x + 245

• c(x) = 245x - 35

How do you simplify the expression 3(x + 4) - (2x + 7)?

• 5x + 5

• 5x - 5

• x - 5

• x + 5

What is the simplified form of the expression 4(x - 2) + 3?

• 4x - 8

• 4x - 8 + 3

• 4x + 5

• 4x - 5

Which of the following expressions is equivalent to 5(x + 1) - 2x?

• 5x - 2

• 3x + 1

• 5x + 3

• 3x + 5

What is the value of k(-3) if k(x) = 2x^2 - 5x + 3?

• 9

• 18

• 15

• 36

If a function is defined as f(x) = 3x + 7, what is f(2)?

• 17

• 7

• 10

• 13

What is the value of the function g(x) = x^2 - 4x + 4 at x = 2?

• 2

• 0

• 4

• 8

Which of the following is not a function?

• 1 -> A, 2 -> B, 3 -> C

• 6 -> 10, 6 -> 12

• 2 -> 12, 4 -> 8, 6 -> 10

• A -> 3, B -> 4, C -> 3

What is the result of applying the vertical line test to a function?

• The line does not cross the graph.

• The line crosses the graph at two points.

• The line crosses the graph at exactly one point.

• The line crosses the graph at multiple points.

Which of the following is a characteristic of a function?

• y-values can repeat with different x-values.

• x-values can repeat with different y-values.

• Each y-value is paired with exactly one x-value.

• Each x-value is paired with exactly one y-value.