# Is 12 a solution to the equation 7 – x = 5?

Beginning Algebra

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All problems must have work shown

Must be done by 12pm EST. on 2/15/2014

1. Is 12 a solution to the equation 7 – x = 5?

2. Is –9 a solution to the equation 9 – 8x = 81?

3. Solve -2x+7>=9

4. Solve 3(x-5)<2(2x-1)

5. Solve. 8x + 2 = 7x

6. Solve. 7x – 0.96 = 6(x – 0.67)

7. Solve for x. 4x = –8

8. A company estimates that 5% of the parts they manufacture are defective. If 8 defective parts are found one week by the quality assurance testers, how many parts were manufactured that week?

9. Solve for x. 35 – 7x = 35

10. Solve for x. – 5 = 5

11. Solve for x. 4(x – 2) + 4x = 5x + 4

12. Solve for x. 7x – 3 + 3x = 10x – 3

13. Solve for x. –10x + 1 – 7x = –17x + 7

14. Solve the literal equation for y. x + 5y = 25

15. A rectangular solid has a base with length 5 cm and width 2 cm. If the volume of the solid is 100 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]

16. Translate the following statement into an algebraic equation. Let x represent the number. 1 less than 15 times a number is 9 times that same number.

17. The sum of three consecutive odd integers is 201. Find the integers.

18. At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 35 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 70 mi/hr. When will the second truck catch up to the first?

19. The base of an isosceles triangle is 1 in. less than the length of one of the equal sides. If the perimeter of the triangle is 20 in., find the length of each of the sides.

20. Identify the amount in the statement "318 is 53% of 600."

21. Elaine was charged $126 interest for 1 month on a $1800 credit card balance. What was the monthly interest rate?

22. A broach was marked up $150 from cost, which amounts to a 50% increase. Find the original cost of the broach.

23. Solve the solution set. 8x + 3 < 4x – 13

24. Solve the solution set. 5x + 12 > 10x – 8

25. An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 76, 69, and 84 on the first three exams. Write a simplified inequality representing the score she must get on the last test to receive credit for the course.

26. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 28 in., find the width of the rectangle.

27. Solve and check: 6x=4(x-5)

28. Solve 1/4x<=3/8

29. Solve 8x-7<=7x-5

30. Solve -5x>23.5

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## Here are the solutions for you (a+ work)

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Here are xxx solutions xxx you (a+ xxxxx

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Student Name

xxxxxx American University

xxxxxx Note

xxxxx xxxxx xxx prepared xxx [INSERT xxxxxx NAME], [INSERT COURSE ASSIGNMENT] xxxxxx xx xxxxxxx xxxxxxxxxx’S NAME].

**xxxxxxxxxx**: xxxxxx xxxx all of your work xxx each xxxxxxxx xx applicable, you xxx xxxx xxxxxxxxx Word’x equation editor xxxxxxx in creating mathematical expressions in Word. There is a xxxxxxxx xx xxxxx xxxx xxxxxxxx editor xx Module x xxxxxxx Notes. xxx xxxx have xxx xxxxxx of xxxx writing your work and xxxxxxxx xxx

1. Is xx x solution xx xxx equation x – x = 5?

xx – x x x

If x = 12 xx a xxxxxxxx then, xx xxxx xxxx left xxxx x xxxxx side, when we xxxx x x xx

xx x 12 makes xxxx xxxxxx – xx x xx

makes right xxxx = 5

since left xxxx is xxx equal to right side

xxx xx is xxx a xxxxxxxx xx the xxxxxxxxx

2. Is –x a solution xx xxx xxxxxxxx 9 – 8x x 81?

9 – 8x x xx

xxx x = -9 xx x solution then, it xxxx make xxxx xxxx = xxxxx

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