Math III Sem 1 Final Review

Front

What is the result of dividing (x + 10) by (6x + 60)?

Back

1/6

Front

Factor the expression: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

What does the system of inequalities 2x - y > 4 and 4x + 2y < 6 represent graphically?

Back

The region that satisfies both inequalities.

Front

Find the difference: (3 - 2x + 2x²) - (4x - 5 + 3x²)

Back

-x² - 6x + 8

Front

What is the solution to the equation represented by the options: no solution, 6, 3, 4?

Back

6

Front

What is the formula for factoring a sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the process of completing the square?

Back

Rewriting a quadratic in the form (x - p)² = q to find its roots.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.