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linear equation and inequalities in one variable

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1.

2. 6u+

3. w + 10>13

4. 3z + 1 < -14

5. -5w-9

6. Customers of a phone company can choose between two service plans for long distance calls. The first plan has a one-time activation fee and charges cents a minute. The second plan has no activation fee and charges cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

7. Juan rented a truck for one day. There was a base fee of , and there was an additional charge of cents for each mile driven. Juan had to pay when he returned the truck. For how many miles did he drive the truck?

8. The area of a trapezoid is given by
,
where is the height of the trapezoid, and and are the lengths of the upper and the lower base, respectively.
Solve for .
9.

10. The length of a rectangle is three times its width. If the area of the rectangle is , find its perimeter.
11. The perimeter of a rectangular field is yards. If the length of the field is yards, what is its width?
12. The sum of two numbers is less than . The second number is more than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by .

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This post showcases linear equations and inequalities in one variable.

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1.

2. 6u+

3. w + 10>13

4. 3z + 1 < -14

5. -5w-9

Dividing by -5 on both the sides, changes the inequality sign to less than or equal to, hence we get

6. Customers of a phone company can choose between two service plans for long distance calls. The first plan has a one-time activation fee and charges cents a minute. The second plan has no activation fee and charges cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
If the customer uses a plan for x minutes, his cost for the first plan is given by , as we converted15 cents into dollars which is equal to dollars.
In ...

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