Reference no: EM131139773

1. What is the degree of x³ + 2x² - x + 3?

2. Simplify the expression 4a - 2a[5 - 3(a + 2)] completely.

3. Simplify the expression (2x - 1)² - (3x + 2)(3x - 2) completely.

4. Factor the polynomial expression y⁴ - 3y² - 4 completely.

5. Reduce the following expression to lowest terms.

(x/y - 2 + y/x)/(x/y - y/x)

6. Simplify the expression (-5/2x³)^-2 completely. Your final answer should contain positive exponents.

7. Write the following expression in the form ax^p + bx^q + cx^r, where a, b, and c are real numbers and p, q, and r are integers.

5x⁴ - 3x² + 8/2x²

8. Find a rational number representation for (8/27)^2/3. Be sure to show your work for full credit.

9. Simplify the expression (8x)^-1/3/12x^1/4 completely.

10. Solve the equation 8x² + 20x = 12 using any method.

11. Write the equation of the line through the point (-3, 2) with slope m = -(2/3). Express your answer in slope-intercept form.

12. Solve the inequality 3(2 - x) - 2 ≤ 2x - 1. Express your answer using interval notation and graph it on the real number line.