# Solving Equations and Inequalities

1. Solve for X: 12 - 3(x+1) = x+17

The value of x is

a. A number less than -2

b. At least -2 but less than 0

c. At least 0 but less than 2

d. At least 2 but less than 4

e. At least 4

2. Solve for P: 7(3P+4) = 8(2P+5) + 13

The value of P is

a. a number less than 0

b. at least 0 but less than 3

c. at least 3 but less than 6

d. at least 6 but less than 8

e. at least 8

3.The length of a rectangle is 6 ft longer than its width. The perimeter is 84 ft. What is the length?

a. less than 20 ft

b. at least 20 but less than 22 ft

c. at least 22 ft but less than 25 ft

d. at least 25 ft but less than 29 ft

e. at least 29 feet

4. 500 people showed up at your open house. There were 24 more males than females. How many males were there?

a. fewer than 240

b. at least 240 but fewer than 250

c. at least 250 but less than 260

d. at least 260 but less than 270

e. at least 270

5. It took you 6 hrs to travel to town, and it took you 8 hrs to travel back, because your return trip speed was 10 mph less than the outgoing speed. What was your return trip speed?

a. less than 35 mph

b. at least 35 but less than 38 mph

c. at least 38 but less than 42 mph

d. at least 42 but less than 48 mph

e. at least 48 mph

6. Solve for X: 1 - .02X <= .72

a. none of the following

b. X < 14

c. X <= 14

d. X > 14

e. X >= 14

7. This year, your expenses were $32,000. This is an 8% increase over last year's expenses. What were last year's expenses?

a. less than $29,500

b. at least $29,500 but less than $29,600

c. at least $29,600 but less than $29,700

d. at least $29,700 but less than $29,800

e. at least $29,800

8. Express in math symbols: X cannot exceed 12

a. none of the following is correct here

b. 12 < X

c. X < 12

d. 12 <= X

e. X <= 12

9. Express in math symbols: The maximum value for B is 8

a. none of the following is correct here

b. B <= 8

c. B < 8

d. B >= 8

e. B > 8

10. Express in math symbols: H is at least 120

a. none of the following is correct here

b. H <= 120

c. H < 120

d. H >= 120

e. H > 120

#### Solution Summary

Solving equations and inequalities is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.