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

Beginning Algebra

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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)

body preview (8 words)

Here are xxx solutions xxx you (a+ xxxxx

file1.rtf preview (1342 words)

[INSERT TITLE HERE] x

Running xxxxx xxxxxxx xxxxx HERE]

[INSERT TITLE HERE]

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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## solution in word and pdf file.

body preview (7 words)

xxxxxxx xx for xxxx xxxx xxx quires.

file1.docx preview (1249 words)

Is xx a solution xx the xxxxxxxx 7 – x = 5?

Solution:

Check whether xxxx xxxx satisfy xxx given xxxxxxxx xx xxxxxxxxxxxx x=12 xx xxx

xx xxx getting x result .

xx is xxx xxxxx

Hence xx xxx x solution of

xx –x x xxxxxxxx to xxx equation 9 – xx x xxx

xxxxxxxxx

Check whether will xxxxxxx the given xxxxxxxx by xxxxxxxxxxxx xx xxx

We are xxxxxxx a result

It is true.

xxxxx xx x xxxxxxxx of

Solve -2x+7>=9

Solution:

xxxxxxxxx

xxxxxxxx xx xx on xxxx xxxxxx

Divide xx xxx xxx xxxxxxxxxx changes as it xxxxxxxx negative sign,

xxxxx the xxxxxxxx set is

xxxxx 3(x-5)<2(2x-1)

xxxxxxxxx

xxxxx that ,

xxx -2 on both sides,

Subtract xx on xxxx xxxxxx

xxxxx the xxxxxxxx xxx xxxx xx

xxxxxx xx + 2 = xx

xxxxxxxxx

xx is xxxxx xxxxx

Subtract 2 on both sides,

Subtract 7x on xxxx xxxxxx

Hence xxx solution for xxx xxxxxxxx xx

Solve. 7x – xxxx x 6(x – xxxxx

Solution:

xx is given that,

xxxxxxxxx

xxx by xxxx on both xxxxxx

Subtract xx 6x xx xxxx xxxxxx

Hence the

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file2.pdf preview (1415 words)

1. Is xx x solution to the xxxxxxxx 7 – x = xx

xxxxxxxxx

xxxxx xxxxxxx x=12 will xxxxxxx the xxxxx xxxxxxxx xx xxxxxxxxxxxx x=12 xx it.

7 − � = 5 x − 12 x 5 −5 x x

We xxx xxxxxxx a xxxxxx −5 = 5. It is xxx xxxxx

xxxxx xxx x 12 is xxx a xxxxxxxx xx x − xxx = 5.

xx xx –9 x xxxxxxxx to the equation x – 8x = 81?

Solution:

xxxxx whether � = −9 will xxxxxxx xxx xxxxx equation by xxxxxxxxxxxx xxx = −9 in xxx 9 − 8� x xxx − 8�−9 x 819 x xx x 8181 x 81

xx are xxxxxxx a result xx = 81 It is true.

xxxxx � x −9 xx a xxxxxxxx of x − 8� x 81

3. Solve -2x+7>xx

xxxxxxxxx

Consider,

xx −xxxx x 7 ≥ 9 xxxxxxxx xx -7 xx xxxx sides,

b) −xxxx + x − x ≥ x − 7 c) −2� ≥ 2

Divide by xxx the xxxxxxxxxx xxxxxxx as xx xxxxxxxx negative sign,

xx � ≤ −1

Hence the xxxxxxxx set is xxxxxxxxxxxx ≤ −1�

4. xxxxx xxxxxx<xxxxxxx

Solution:

Given that ,

a) 3�� − 5 < xxxxxxxx − 1 xx xxxx − 15 < 4� − 2

xxx -2 on xxxx xxxxxx

xx

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