Your Algebra Homework Can Now Be Easier Than Ever!

BASIC ALGEBRA TOPICS 3-4 REVIEW FOR EXAM

The exam covers concepts learned in Lessons 3.1, 4.1, and 4.2. The fol lowing objectives were introduced:

1. Identify the x-axis, y-axis, quadrants, and the origin of an xy plane
2. Identify the x- coordinate and the y -coordinate of an ordered pair .
3. Plot ordered pairs on the xy-plane.
4. Identify the signs of the coordinates in each quadrant.
5. Understand subscript notation.
6. Use the geometric inter pretation and the algebraic definition of rise and run.
7. Find the distance between two points using the Pythagorean Theorem or the distance formula
8. Find the equation of the circle given the center and radius.
9. State the center and radius of a circle given the equation.
10. Recognize a linear equation in two variables .
11. Identify solutions of linear equations in two variables.
12. Graph a linear equation by plotting ordered pairs.
13. Graph horizontal and vertical lines and recognize their equations.
14. Determine the intercepts of a linear equation.
15. Graph a linear equation using the intercepts.
16. Find the slope of a line given two points.
17. Define positive slope , negative slope , zero slope , and undefined slope.
18. Graph a line given a point and the slope.
19. Graph parallel and perpendicular lines and find their slopes
20. Find the equation of the line given a point on the line and the slope.
21. Use the point-slope form of the equation of a line.
22. Find the equation of the line given two points on the line.
23. Use the slope-intercept form of the equation of a line
24. Find the equations of horizontal or vertical lines.

To study for the exam:

1. review material on the CD
2. in your PAN for each lesson (3.1, 4.1, 4.2)
• review objectives (pages 223-225, 258-259, 279-280)
• read the EXPLAIN sections and do the sample problems for EXPLAIN and EXPLORE (pages 207-221, 241-256, 267-276)
• do the HOMEWORK (pages 226-228, 260-260, 281-282)
• review the APPLY practice problems you have d one (pages 229-233, 262-264, 283-285)
• do the EVALUATE practice test (pages 234-235, 265-266, 286) (note: answers to all questions for the EVALUATE practice test may be found at the back of your PAN)

PRACTICE PROBLEMS

1. Consider the points (-4, 3) and (5, 0), and find the slope of the line that joins these two points.

2. Find the rise and the run in moving from the point (-1, 2) to the point (4, -7).
rise=
run =

3. Use the distance formula to find the distance between the points (4, 2) and
(-3, 5). (Leave your answer in square root form.)

4. If a = 8 and b = 15, use the Pythagorean Theorem to find c, the length of the hypotenuse of
the right triangle shown below.

5. What is the equation of the circle whose center is at (2, -4) and whose radius is 5?

6. Circle all of the linear equations in two variables:

7. Circle the points below that lie on the line whose equation is x + 4y = 18.

8. Complete the table for the equation shown. Plot the ordered pairs and draw a line through the
points.

9. Graph the equation 2x + y = 3.

10. Graph the equation x = 2.

11. Find the x- and y-intercepts of the line 2x – 5y = 20.
x-intercept =
y-intercept =

12. Find the x- and y-intercepts of the line 3x + y = 6 and use them to graph the line.

13. Find the slope of the line through the points (2, -3) and (-5, 4).

14. What is the slope of the horizontal line y = 4?

15. Find the slope of a line parallel and perpendicular to the line that passes through the
points (2, -3) and (5, 9).
Parallel =
Perpendicular =

16. Graph the line with the slope of 3 that passes through the point (-1, 2).

17. Find the equation of the line that passes through the point (-4, 1) and has a slope
m =1/2. Write the equation in the form of y = mx + b.

18. Find the equation of the line that passes through the points (7, 2) and (-5, 4).

19. State the slope and the y-intercept of the line y = (-1/3)x – 7.

slope =
y-intercept =

20. Find the equation of the vertical line that passes through the point (-5, 7).

Answer Key:

Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of September 20th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:



Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath
Check out our demo!
 
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
 
 
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805
 

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2018, Algebra-Answer.Com.  All rights reserved.