# Solving Inequalities

Chapter 2.2 - 2.3 Linear Equations and Slope

Problems #1 – 4 are on the answer sheet.

Find the slope of the line that passes through each pair of points.
5. (6. 1), (8, -4)

6. (7, 8), (1, 8)

7. (-2, -3) , (0, -5)

8. (4, 1.5), (4, 4,5)

Give the slope of the line that is (A) parallel to and (B) perpendicular to the given line.
9.
A) _____ B) _____

10. 3x - 4y = 8
A) _____ B) _____

1. x = 2
A) _____ B) _____

12. Determine the value of r so that the line through (6, r) and (9, 2) is parallel to the line y = x - 2.

13. Determine the value of r so that the line through (6, r) and (9, 2) is perpendicular to 5x - 3y - 9.

14. Graph the line through (-3, -1)
with a slope of -1/5.

15. Graph the line through (2, -4) with a
slope of zero.

Problems from Chapter 2.7 and Chapter 3.1 through Chapter 3.3 are on the answer sheet.

Chapter 5.1 Monomials

Express in scientific notation.
1. 238,000
2. 0.00452
3. 13
4. 675,400,000

Simplify. Assume no variable equals zero.

Chapter 5.2 Polynomials

Simplify.

1. (3x2 - 4x + 6) + (2x2 - x + 9)

2. (7m2 + 5m - 9) - (3m2 - 6)

3. 4a (3a2 + b)

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

5. (b - 5) (b + 5)

6.

7. (2x + 3) (x2 - 3x + 4)

8. (3x - 2y) 2

Chapter 5.4 Factoring Polynomials

Factor.

1. 3x3 - 6x2 + 9x

2. 6a2b2 + 18ab3

3. x2 - 25

4. m2n2 - 100

5. x2 - 4x + 4

6. x2 - 7x + 10

7. p2 + 5p - 14

8. 25x2 - 16y2

9. x2 - 6xy + 9y2

10. 3x2 - 27y2

11. 2a2 + 3a + 1

12. 6c2 – 13c + 6

13. 12m2 – m – 6

14. 3x2 + 21x – 24

Place answers on this answer sheet. All work is to be done on separate paper. Work must be neat, legible and shown for every problem.

Chapter 1.1

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Chapter 1.2

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Chapter 1.3

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16exp sol 17exp sol

Chapter 1.5

 1 2 3 4 5 6 7 8 9 10

Chapter 2.1

 1 D= R= F? 2 D= R= F? 3 D= R= F? 4 D= R= F? 5 D= R= F? 6 D= R= F? 7 8 9 10

Chapter 5.1

 1 2 3 4 5 6 7 8 9 10 11 12

Chapter 5.2

 1 2 3 4 5 6 7 8

Chapter 5.4

 1 2 3 4 5 6 7 8 9 10 11 12 13 14