Chapter R

MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C74152.E6AA9090" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C74152.E6AA9090 Content-Location: file:///C:/A51C0672/fiu_mac1105_R2.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Chapter R

Chapter R

indicated operations. Express= your answer as a single polynomial in standard form. Determine its degree a= nd give the value of its leading coefficient

&n= bsp; is div= ided by .
completely each polynomial. I= f the polynomial cannot be factored, say it is prime.

4. Perform indicated opera= tions and simplify the result. Leave your answer in factored form.

5. Simplify each expressio= n. Express your answer so that only positive exponents occur. Assume that the variables are all positive.

6. Write the expression as= a single quotient in which only positive exponents and/or radicals appear. As= sume x > -1.

7. Factor the expression. = Express your answer so that only positive exponents occur.

8. Simplify each expressio= n. Assume all variables are positive

9. Rationalize the denominator of each expression

Chapter 2

10. Given two points A =3D= (-1,0) and B =3D (2,4). Find

a) the exact distance betw= een A and B

b) the midpoint of the line segment joining A and B

11. The graph of an equati= on is given below. List the x- and y-intercepts of the graph.

12. Find the intercepts of= the graph of the equation y²⁼ =3D x² + 5x + 4 &nbs= p;

13. Based on the graph giv= en below, determine whether it is symmetric with respect to the x-axis, the y-axis, and/or origin.

a) = &nb= sp; = b) = &nb= sp; = &nb= sp; c) = &nb= sp; = d)

14. Test the equation for = symmetry

15. Write the standard for= m of the equation of the circle with center at C =3D (2,-3) and radius r =3D 4.

16. Find the center and th= e radius of a circle given by the equation

17. Find the slope of the = line passing through the points (-2,3) and (-1, -4).

18. Graph the line contain= ing the point P =3D (-1,2) and having the slope&nb= sp; . Write the equation of this line in the slope-intercept form.

19. Find the slope and y-i= ntercept of the line given by the equation -x + 3y =3D 6.

20. Find an equation of th= e line with the given properties. Express your answer in the slope intercept form<= /p>

a) containing the points (-1, 0) and = ( 2,4)

b) vertical; containing th= e point (6, -3)

c) horizontal; containing = the point (-1, 5)

d) slope undefined; contai= ning the point (2,4)

21. Find the equation of each line

a) = = b) = = c)

22. The equation of a line= L is 3x + 5y -10 =3D 0. Find the slope of a line that is

a) parallel to L

b) perpendicular to L

23. Find the equation for = the line with given properties. Express your answer in the slope-intercept form.

a) parallel to the line 2x= + y =3D 5; containing the point (2, - 1)

b) perpendicular to the li= ne y =3D 2x + 4; containing the point (2, -1)

c) parallel to the line x = =3D -2; containing the point (3, -1)<= /p>

d) perpendicular to the li= ne y =3D 3; containing the point (0,1).

24. Det= ermine whether the lines 2x +3y =3D -3 and 3x + 2y =3D 10 are parallel, perpendicular or neither. Explain.

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