Mathematics Final Exam Review

These flashcards cover key concepts, problems, and solutions from the mathematics final exam review notes.

What is the solution for the equation 3x - 4 = 8?

x = 4

What is the discriminant for the equation 3x² - 6x + 0?

D = 36 - 0 = 36, which indicates 2 real solutions.

How do you determine if a relation is a function using the vertical line test?

If a vertical line intersects the graph of the relation more than once, it is not a function.

What is the first step to solve the quadratic equation 2x² + 11x - 121 = 0?

Calculate the discriminant: D = 121 - 4(2)(-121).

What must the solution format be for complex expressions?

Answers must be in the form a + bi.

If f(x) = 2x + 3 and g(x) = x² - 4, what is f(1) + g(2)?

f(1) + g(2) = 5 + 0 = 5.

What system of equations represents Brenda and Jaidee's purchases of hostas and geraniums?

5h + 7g = 84 and 12h + 13g = 175.

What is the key outcome from the equation 6x² + 7x - 3 = 0?

Factor or use the quadratic formula to find x values.

Solve for x: 1 + 4x - 32 = 0.

x = 7.75.

For the equation 2 + 8x = 64, what is the value of x?

x = 7.

How do you set up an inequality for the van and bus problem?

6v + 11b ≤ 705 for high school B; v = students per van, b = students per bus.