# Algebra - Equations

1. Solve. Then graph x+7>2 The solution set is Which of the following is the graph of the solution?

-7 -6 -5 -4 -3 -7 -6 -5 -4 -3

-7 -6 -5 -4 -3 -7 -6 -5 -4 -3

2. Solve. Then graph. The solution is Which of the following is the graph of the solution?

-17 -16 -15 -14 -13 -17 -16 -15 -14 -13

-17 -16 -15 -14 -13 -17 -16 -15 -14 -13

3. Solve using the addition principle. The solution set is

4. Solve using the multiplication principle. Choose the correct answer.

5. Solve using the multiplication principle. Give the answer in set-builder notation.

Choose the correct answer.

or or or

6. Solve using the addition and multiplication principles. 6x-12< -42 The solution is { x x }.

7. Solve using the addition and multiplication principles. 2.4 x + 17.8 > 44.5 - 6.5x The solution set is { x x > }.

8. Solve using the addition and multiplication principles. The solution is

9. Solve. 4 (2x-3) < 20 The solution set is

10. Solve. 4 (3+4x) - 8 ≥ 100 The solution set is .

11. Solve. Use set-builder notation to describe the complete solution. {y y }

( Simplify your answer. Type an inequality symbol; then type an improper fraction )

12. Translate to an inequality. A number is at least 7. The answer is ( Use x as the variable ).

13. Translate to an inequality. Use the variable x. The number of people in the chess club is less than or equal to 23.

The answer is

14. Translate to an inequality. The average speed, s, was between 70 and 140 mph. Translation: 70 s 140

15. Translate to an inequality. Use the variable x. The price of a baseball glove is at most $36.49. The answer is $

16. Translate to an inequality. Use the variable x. My salary next year will be at least $ 28000.

Choose the correct inequality: x ≥ $28000, x < $28000, x > $28000, or $28000 ≥ x

17. You are taking an English course in which there will be four tests, each worth 100 points. You have scores of 93, 93, and 93 on the first

three tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A.

The solution is ( Simplify your answer. Type an integer or a decimal )

18. The metal stays solid at Fahrenheit temperatures below 1545.4°. Determine ( in terms of an inequality) those Celsius temperatures for which

the metal stays solid. Use the formula F=9/5C+32. The solution set is { C C < °} ( Round to the nearest tenth )

19. The formula R = - 0.075t + 3.85 can be used to predict the world record in the 1500 meter run, t years after 1930. Determine an

Inequality that identifies the years in which the world record will be less than 3.4 minutes.

Solve for t. t > (round to the nearest whole number) This translates to

20. A car rents for $50 per day plus 20¢ per mile. You are on a daily budget of $88. What mileage will allow you to stay within

your budget? The solution is

21. Miranda's financial aid stipulates that her tuition not exceed $1000. If her college charges a $55 registration fee plus $275 per

course, what is the greatest number of courses for which Miranda can register?

Miranda can register for at most _____courses. ( Your answer should be a whole number )

22. The length of a rectangle is fixed at 11 cm. What widths will make the perimeter greater than 90 cm?

The width must be greater than _____cm.

23. A reduced fat cookie contains 5g of fat per serving. In order for food to be termed " reduced fat". It must have at least 20% less

fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie?

How much fat does a serving of regular cookies contain?

A. Less than 6.2g of fat

B. At least 25g of fat

C. At least 6.2g of fat

D. More than 6.2g of fat

24. A certain kind of animal weighs about 77 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine

those days for which the animal's weight is more than 129 pounds. The animal's weight is more than 129 pounds when the animal is more

than _____ days old.

25. Joe's Electric made 17 customer calls last week and 22 calls this week. How many calls must be made next week in order to maintain an

Average of at least 21 calls for the three week period?

- 8 -7 - 6 -5 - 4 - 3 - 2

[See the atttached questions file for formatting.]

#### Solution Summary

Neat, step-by-step soltions using graphs are provided.