# Math 095 Exam 2 Study Guide

1. The exam covers Sections 3.3-3.8, 4.1-4.5. The exam will be closed book, closed notes, and turned off cell phones. Calculators are allowed .

2. Practice doing problems without using the book or your notes. I will only test you on ideas that we have covered in class and on your homework.

3. Review the topics and do the problems listed below. Review homework and in-class worksheets. If a certain problem type is difficult for you, do some other problems like it in the book for more practice.

4. Do not wait until the night before the exam to begin studying.

5. Make sure to show all your work.

6. Do not skip an exam. Check my syllabus for exam policy.

subtract ing-multiplying.html">Add , subtract, multiply , divide fractions and mixed numbers:

1.

2.

3.

Solve Linear Equations

Solve linear equations :

4. -3x - 17 + 4x = 5

5. 2(2x - 5) = 3(x + 4)

6.

Section 3.3

Solve a formula for the specified variable :

7. for h

8. P = 2L + 2W for L

9. ax + by + c = 0 for x

Solve for y; put the resulting equation into y = mx + b form:

10. 2x + 5y = 10

11. 3x = 4y + 11

12. 3x - y = 5x + 3y

Section 3.4 and 3.5

Solve application problems: set up a variable, write an equation, solve the equation, and then answer the question.

13. A 6 foot board is cut into 2 pieces so one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

14. For a four number lottery, a person's first three picks were consecutive odd integers, and the fourth was the sum of the first three numbers. If the fourth number was 45, what are the first three numbers.

15. One angle of a triangular banner is 20 degrees greater than the first angle. The third angle is twice as large as the first angle. What are the measures of the three angles?

16. How much pure acid (100%) should be mixed with 2 gallons of a 50% acid solution in order to get an 80% acid solution.

17. The owners of a candy store want to sell, for \$6 per pound, a mixture of chocolate-covered raisins, which usually sells for \$3 per pound, and macadamia nuts, which usually sells for \$8 per pound. They have a 60-pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so they hit their target value of \$6 per pound for the mixture?

Section 3.6 and 3.7

Solve inequalities and compound inequalities. Graph the solution set AND write it in interval notation.

18. 7x + 1 ≥15

19. 5 -y > 0

20. 3 -2x ≥-2x + 1

21. 2x + 7 < 3 + 5x

22. 3(x + 4) > 2x -3

23. -2x + 18≤-2(5x ?3)

*24. - 7≤-2x + 3 < -3

25. x -2 > 3 and x -5 < 4

26. 2x + 3 ≥-1 and 3x + 6 < 21

27. -x -5 > 0 or 3x -2 ≥1

28. -x -6 ≥3 or 4x + 3 > 5

Section 3.8: *BONUS MATERIAL

Solve basic absolute value equations; graph basic absolute value inequalities.

(We will go over these in class on the review day.)

*29. | x | + 2 = 5

*30. | x | 2

*31. | x | 7

Sections 4.1, 4.2, and 4.3

1. Find slopes of given lines.

2. De termine the slope and y- intercept of given equations.

3. Determine if lines are parallel, perpendicular or neither.

4. Graph equations.

32. Complete the ordered pair so that it is a true solution of the given linear equation:

3x + y = 2 ( ___, 8 ), ( ___, -4 ), ( 0, ___)

Write each equation in slope intercept form and determine the slope and y-intercept:

33. 2x + 3y = 14 34. 13x+34y-9=0

Determine the slopes of the given equations:

35. 3x = 12

36.-y = -8

Two points of two lines are given; determine if the lines are parallel, perpendicular, or neither.

37.
L
1: (3, 5) and (-2, 1)
L2: (-6, 9) and (-1, 13)

38.
L
1
: (4, 8) and (1, -2)

L2: (-3, 5) and (2, 2)

The equations of two lines are given; determine if the lines are parallel, perpendicular, or neither.

39.
L
1: 3y = 5 -2x
L
2: y = 3/2x + 9

40.
L
1
: y = 5x -3
L2: y = -5x + 3

Use the slope-intercept form to graph the equations:

41. y = -4x -7

42. 5x + 4y = 20 43. x -3 = 4

44. y = -3x + 4

45. x + 3y -y = 0

Section 4.4

Write equations in slope-intercept form given information.

Try problems like:

Write the equation of the line in slope-intercept form given the fol lowing information .

46. m = - 3, (2, 5)

47. m = -1/3, (-6, 3)

48. m is undefined, (6, 8)

49. m is zero , (6, 8)

50. (4, 7) and (6, 11)

51. (4, 0) and (2, 5)

Section 4.5

1. Graph linear inequalities.

2. Graph compound linear inequalities.

Try problems like:

52. y ≤1/2x -5

53. 4x + 5y > 20

54. 2x -5y ≥10

55. y ≤-x + 3 and y ≤2x + 1

56. -x + 4y < 12 or x ≥2

Solutions:

Fraction Review:

1. 11/24

2. 7 1/18

3. 3/10

Solve Linear Equations:

4. x = 22 5. x = 22 6. x = -2

Section 3.3:

7.

8.

9.

10.

11.

12.

 Prev Next

Start solving your Algebra Problems in next 5 minutes!

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 February 19th 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!