Solve

1. Solve. 2x + 7 = 6

A. x = -1/2

B. x = –3

C. x =13/2

D. x =1/2

2. A clothing store offers a 10% discount on all purchases. What is the discount in dollars (before tax) for an item originally costing $27.00 dollars?

A. $29.70

B. $51.30

C. $24.30

D. $2.70

3. Select the expression that is equivalent to -3(x - 9).

A. -3X – 9

B. -3X +9

C. -3X – 27

D. -3X + 27

4. A taxi company charges $2.40 for the first mile and $1.20 per mile for each additional mile. How much would the bill be for a 15 mile trip?

A. $19.20

B. $20.40

C. $34.80

D. $54.00

5. A team needs to save up at least $400 for new uniforms and currently has $210. They decide to hold a fundraiser where they can earn $7 in profits for each item sold. What inequality could be solved to determine the minimum number, n, of items to be sold?

A. 210 + 7n > 400

B. 210 + 7n < 400

C. 210 + 7n ≤ 400

D. 210 + 7n ≥ 400

6. The temperature on a summer day is degrees Fahrenheit. The formula to covert temperature to degrees Celsius is C = 5/9(F-32). What is the corresponding temperature in degrees Celsius?

A. 60.6 °C

B. 81.0 °C

C. 25.0 °C

D. 196.2 °C

7. A family travels at an average rate of 41 miles per hour for a given road trip. How long will it take them to reach their destination 246 miles away?

A. 4 hours

B. 5 hours

C. 6 hours

D. 7 hours

8. Solve. (2x - 2) = 3

A. x = 8.00

B. x = 11.00

C. x = –8.00

D. x = 10.00

9. Solve the inequality. - x - 4 > -1

A. x < 15

B. x > 15

C. x < –9

D. x > –9

10. Solve the inequality. 0.5(0.1x + 0.3) -0.5

A. x≤ 13

B. x ≥ 13

C. x≤ -13

D. x ≥ -13

11. In the equation y = 4 x, if the value of x is increased by 2, what is the effect on the value of y ?

A. It is 8 more than the original amount.

B. It is 2 more than the original amount.

C. It is 6 more than the original amount.

D. It is 16 times than the original amount.

E. It is 8 times than the original amount.

12. An airplane climbs at a rate of 66.8 feet per minute. It descends at twice the rate that it climbs. Assuming it descends at a constant rate, how many feet will the airplane descend in 30 minutes?

A. 4008

B. 2004

C. 96.8

D. 133.6

E. 1002

13. Which of the following equations has the same solution as the equation 2 x + 6 = 32 ?

A. 2(x - 3) = 16

B. 2x = 38

C. x + 6 = 16

D. x - 3 = 16

E. 2(x + 3) = 32

14. What are the four steps for solving an equation? Should any of other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation? Explain your answer.

15. Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

16. What resources are available to help you do well in this math class (college algebra)? Which resources do you think will help you the most? Why? How do you plan to use the resources available to optimize your learning over the next four weeks?

17.