## MATH 20 SAMPLE QUESTIONS

The following questions are a small sample of the material covered in Math 20. You will find the answers at the bottom of the page. If you wish to print this sheet, click on the pdf icon to view a printable version.

1. Simplify the expression: $$(2x^{4} - 3x^{2} + 4) + (-5x^{4} + 7x^{2} + 3)$$

 A. $$-3x^{8} + 4x^{4} + 7$$ B. $$-3x^{4} + 4x^{2} + 7$$ C. $$-3x^{4} + 4x^{2} + 4$$ D. $$-x^{4} + 10x^{2} + 7$$

2. Simplify the expresssion: $$(8y^{3} - 11y + 7) - (-5y^{3} + 4y - 6)$$

 A. $$3y^{3} - 7y + 1$$ B. $$13y^{3} - 7y + 1$$ C. $$3y^{3} - 15y + 1$$ D. $$13y^{3} - 15y + 13$$

3. Solve the equation: $$4x + 9 = 3-(x - 2)$$

 A. $$\dfrac{4}{3}$$ B. $$-\dfrac{8}{5}$$ C. $$-\dfrac{4}{5}$$ D. $$2$$

4. Solve the equation: $$3(x + 5) - 1 + 2x = 2 - (3 - 2x)$$

 A. $$-5$$ B. $$-2$$ C. $$\emptyset$$ D. $$-\dfrac{15}{7}$$

5. Solve the equation: $$\dfrac{x}{4} - 4 = \dfrac{3x}{2} + \dfrac{3x}{4}$$

 A. $$-\dfrac{1}{2}$$ B. $$2$$ C. $$0$$ D. $$-2$$

6. Solve the equation: $$\dfrac{1}{2}(4x + 3) - 1 = 2x - 3$$

 A. $$0$$ B. $$-6$$ C. $$\emptyset$$ D. $$-3$$

7. Determine the greatest common factor: $$60x^{8} + 72x^{5} + 36x^{4}$$

 A. $$4x^{4}$$ B. $$6x^{8}$$ C. $$3x$$ D. $$12x^{4}$$

8. Factor out the greatest common factor: $$8x^{3}y^{2} + 24xy^{3}$$

 A. $$4xy^{2}(2x^{2} + 6y)$$ B. $$8xy^{2}(x^{2} + 3y)$$ C. $$8xy(x^{2}y + 3y^{2})$$ D. $$4xy(2x^{2}y + 6y^{2})$$

9. The complete factored form of $$5a^{2} + 15ab - 2ac - 6bc$$, is:

 A. $$(5a - 2c)(a + 3b)$$ B. $$(5a + 2c)(a + 3b)$$ C. $$(5a + 2c)(a - 3b)$$ D. $$(5a - 2c)(a - 3b)$$

10. One factor of $$x^{2} - 13x - 30$$, is:

 A. $$x - 6$$ B. $$x - 3$$ C. $$x + 10$$ D. $$x + 2$$

11. One factor of $$6x^{2} + 11x - 10$$, is:

 A. $$3x - 2$$ B. $$6x + 5$$ C. $$3x + 2$$ D. $$2x - 5$$

12. One factor of $$2x^{2} - 5xy - 3y^{2}$$, is:

 A. $$x + 3y$$ B. $$2x - y$$ C. $$x - 3y$$ D. $$2x - 3y$$

13. One factor of $$16x^{2} - 81$$, is:

 A. $$4x - 9$$ B. $$2x - 3$$ C. $$4x + 3$$ D. $$8x + 9$$

14. One factor of $$25x^{2} - 9y^2$$, is:

 A. $$5x + 9y$$ B. $$5x - 3y$$ C. $$5x - 9y$$ D. $$5x + 3$$

15. Choose the answer below that best describes the type of equation: $$9x^{2} + 12x = -4$$

16. Choose the answer below that best describes the type of equation: $$\dfrac{1}{x + 4} + \dfrac{x}{x - 4} = \dfrac{-8}{x^{2} - 16}$$

17. Solve the equation: $$9x^{2} + 12x = -4$$

 A. $$\dfrac{2}{3}$$ B. $$\dfrac{3}{2}$$ C. $$-1$$, $$\dfrac{4}{9}$$ D. $$-\dfrac{2}{3}$$

18. Solve the equation: $$\dfrac{1}{x + 4} + \dfrac{x}{x - 4} = \dfrac{-8}{x^{2} - 16}$$

 A. $$-4$$ B. $$-1$$ C. $$2$$ D. $$1$$

19. Graph the line $$5x + 2y = -10$$ and identify the slope of the line

 A. $$m = 5/2$$ B. $$m = -5/2$$ C. $$m = -2/5$$ D. $$m = -5/2$$

20. Graph the line $$4x - 3y = 12$$ and identify the slope of the line

 A. $$m = 3/4$$ B. $$m = 4/3$$ C. $$m = -4/3$$ D. $$m = 4/3$$

21. Graph the line $$y = -\frac{4}{5}x + 3$$ and identify the slope.

 A. $$m = -4/5$$ B. $$m = 4/5$$ C. $$m = -4/5$$ D. $$m = -5/4$$

22. Graph the line $$y = 2$$ and identify the slope.

 A. $$m = 0$$ B. $$m = -2$$ C. slope is undefined D. $$m = 2$$