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 Dependent Variable

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# Solving Inequalities

Chapter 1.1 Expressions and Formulas

Evaluate: 9. What is the sum of -14 and -7?

10. What is the difference of 4 and -7?

11. What is the product of -16 and 3?

12. What is the quotient of 16 and 4/3?

Solve for the indicated variable:
13. Solve for W: P = 2L + 2W

14. Solve for L: S = L - rL

15. Solve for C: P = R - C

16. Solve for A: Chapter 1.2 Properties of Real Numbers

Name the sets of numbers that contain each number listed below. Use natural (N), whole (W),
integers (Z), rational (Q), irrational (I), and real (R). State the property of real numbers that is illustrated in each equation. Write in decreasing order. Simplify:
17. 5 (x - 4) + 3

18. 10 - [ 8 (5 - x) + 2 ]

19. 8(r + 7t) - 4(13t + 5r)

20. 0.25(6 + 20y) - 0.5(19 - 8y)

Chapter 1.3 Solving Equations

Write an algebraic expression or equation to represent each verbal expression.

1. 7 more than the product of a number and 10
2. The cube of the difference of x and 7
3. 5 times the sum of a number and -6
4. 4 less than the square of a number
5. 3 times a number increased by 7 is one more than the number
6. The product of twice a number increased by 5 and the number squared is 18.

Solve these equations.
7. 8. 0.5x - 12 = 4

9. 5x - 4 = 2x + 6

10. 2 (3 - x) = 16 (x + 1)

11. 7 (x + 1) = 1 - 2 (5 - x)

12. - (x - 1) + 10 = - 3 (x - 2

13. Find the dimensions of the figure 4x + 1
given that the perimeter is 23. 14. The bill for the repair of your car was \$415. The cost for parts was \$265. The cost for
labor was \$25 per hour. How many hours did the repair take?

15. The maximum speed of a 1991 Case tractor is 19.6 miles per hour, which is 1.2 more
than 8 times the maximum speed of a 1917 tractor. What was the maximum speed
of the 1917 tractor?

First, find an algebraic expression for the area of the figure. Then determine the actual area using
the given value(s) of the variable(s).

16. a = 5, b = 4 17. x = 9 Chapter 1.5 Solving Inequalities

Write the correct inequality symbol between the numbers.
1. 2 __ -4
2. -18 __ -15
3. - 5 __ - 7/2

Graph on a number line.
4. x < 3
5. x ≥ -2
6. x ≥ 4 or x < - 4

Solve the inequality.
7. 3 - 2x ≥ 15
8. - x + 5 < 3x + 1
9. x - 1 ≤ 5 or x + 3 ≥ 10
10. Chapter 2.1 Relations and Functions

For each set of points, identify the domain, the range, and tell whether it is a function or not.
1. {(2,3), (3,7), (5,-1), (0, 0)}

2. {(1,2), (2, 3), (2, 5), (1, 6)}

3. {(4, 5), (5, 4), (6, 5), (5, 6)}

4. {(1, 4), (2, 8), (3, 12), (-1, -4), (1, 4)}

5. 6. Given the functions f (x) = 2x2 + 3x - 5 and g (x) = 4x - 2, evaluate the following:
7. f (3)
8. g (-2)
9. f (-2)
10. g (1/2)