Solving Inequalities Function - Advanced Algebra - Practice Problems, Exercises of Calculus

This lecture is from Advanced Algebra. Key important points are: Solving Inequalities Function, Polynomial Problems, Complex Equations, Operatives, Formulas

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Honors Advanced Algebra Chapter 1 Review
Name________________________________
The following types of problems might show up on the NON calculator portion of the
Chapter 1 Test.
Solve the following equations.
1.
3 41 5
8 62 4
bb−= +
2.
31
25
53
xx −=
3. 4 2(x 4) + 5 3(x + 5) = -(x 1) 4. 4 2(x 5) 5 3(x + 1) = -(x + 1) 2x
5.
2 5 3 12xx−=
6.
3 2 5 6 24xx −=
Learning Targets for questions (#1 4):
1. You will be able to solve equations/inequalities. (1.3,1.4, 1.5)
2. You will use the properties of real numbers to evaluate expressions.(1.2)
3. You will be able to solve absolute value equations. (1.6)
pf3
pf4
pf5

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Name________________________________ The following types of problems might show up on the NON calculator portion of the Chapter 1 Test.

Solve the following equations.

1. 3 4 1 5 8 6 2 4

b − = b + 2. 3 1 2 5 5 3

x − = x

3. 4 – 2(x – 4) + 5 – 3(x + 5) = -(x – 1) 4. 4 – 2(x – 5) – 5 – 3(x + 1) = -(x + 1) – 2x

5. 2 x − 5 = 3 x − 12 6. −3 2 x − 5 = 6 x − 24

Learning Targets for questions (#1 – 4):

**1. You will be able to solve equations/inequalities. (1.3,1.4, 1.5)

  1. You will use the properties of real numbers to evaluate expressions.(1.2)
  2. You will be able to solve absolute value equations. (1.6)**

7. 4 − 2 5( y + 2 ) ≤ − ( 2 y − 4 )

The following problems will be similar to ones on the Calculator Portion of the Chapter 1 Test.

3 2 9 − 3 6 ÷ 3 + − 7 9.

( )^3

 ÷ + 

10. Evaluate: x + y 2 (2 + x) if x = 3 and y = -1 11. Evaluate ( 5 a^2 + 7 ab^2 ) − 3 14( x + 2 y )^2 if

a = 5, b = 3, x = 2, and y = -

Learning Targets for questions (#8 – 12):

**1. You will be able to use the order of operations to evaluate expressions. (1.1)

  1. You will use the properties of real numbers to evaluate expressions. (1.2)
  2. You will know how to manipulate formulas.(1.1)**

19. 4(r – 4) – 8 = 5 – 2(3r + 1) 20. 1 6 3 17 3

x + = −

21. 3 4 x − 1 = 2 x + 5 22. 7+ 2(-3m + 4) ≤ 12

Solve and graph the following compound sentences.

23. − 9 < 6 x − 3 < 15 + x 24. (^3) − 4 p ≤ − 1 OR 5 p − 3 ≤ − 2

25. 5 − 2 x ≤ 3 26. 5 x − 7 ≤ − 9

Write algebraic expressions for the following and solve. 27. The sum of three consecutive odd numbers is fifteen.

28. Twice the difference of a number and 11 is 40.

29. the product of negative 7 and x is at least 56.

30. a number is no more than 5 units from one.

1.^46 − (^3) 2.^70 39 3.^1 4 4.^7 2 5. (^) 7 6.^13 4 7.^1 y ≥ − (^2) 8. -194 9.^40 − (^41) 10. 8 11. -328 12. a. (^) r^3 V = (^) π h b. V = 5.24 13. R, Q 14. R, Q, Z, W 15. R, I 16. R, Q, Z, W, N 17.^3 7 18.^26 − (^5) 19.^27 10 20. {8, -9} 21.^4 ,^1 5 7

 (^) −   

22.^1 m ≥ (^2) **23. 24.

  1. 26.** No Solution 27. 3, 5, 7 28. 31 29. x ≤ − 8 30. x − 1 ≤ 5

Are there any learning targets that I am still unclear about? If so, which ones? Write questions here to ask teacher before test:

-1 185 15 1

1 4

Learning Targets for questions (#27 – 30):

1. You will be able to translate verbal expressions into algebraic expressions/equations.

-4 6