# algebra equation and word problems

See attached file for full problem description.

1. Solve. 6x - 0.37 = 5(x - 0.28)

2. Identify the base in the statment "50% of 300 is 150."

3. Identify the rate in the statment " 260 is 52% of 500."

4. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.

5. solve 2/5x = - 10

6. Solve. 4x + 8 = -4

7. solve x/6 + 3 = 9

8. Graph the solution set of x < -4.

9. Is 15 a solution to the equation 8 - x = 7?

10. A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year?

11. solve for x: 3x - 2y = 6

12. Which label describes the following?

3x + 6 = 10

13. Is 4 a solution to the equation x + 7 = 11?

14. Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.

15. solve -3(10x - 3) + 10(3x - 3) = x - 7

16. convert 9/16 to a perect

17. convert 1/2 to a percet

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#### Solution Summary

The solution shows how to solve the linear equations in detail. It also explains how to set up the equations to solve word problems. The response received a '5/5' rating from the student who originally posted the questions.

Solving Word Problems

1. Write out the 2 equation for this.

If a sofa and a chair cost $850.00 as a set. The sofa cost $100.00

more than twice as much as the chair.

2. A boat travels 24 miles upstream in 3 hours. It takes 3 hours to go 36 miles down stream.

What are the to equations?

what is the speed of the boat in still water?

what is the speed of current?