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# Algebra Problems....!!!

I am having problems understanding just a few of these Algebra problems, Please explain, could you also please verify if the ones answered are correct

Thanks

Understanding Algebra

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

A) -0.69 B) -1.24 C) -0.89 D) -1.03

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

It is 50% or 0.5, or half of 300 is 150. So the base is 300.

A) 300 B) 150 C) 50% D) None of the Choices

3. Identify the rate in the statment " 260 is 52% of 500."
The only rate is 52%. It is the same as 52% of 500 is 260.

A) 500 B) 260 C) 52%

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.
Assume the base is xcm, then the length one of the equal leg is 4x-8. So the perimeter of the triangle is 2(4x-8)+x = 29

Then length of one of the equal legs is 4x- 8 = 4 * 5 - 8 = 20 - 8 = 12 cm. B is correct.
A) 11 cm B) 12 cm C) 5 cm D) 4 cm

5. Solve. = -10

A) -25 B) 25 C) -4 D) 4

6. Solve. 4x + 8 = -4

A) -3 B) -9 C) 1 D) 7

7. Solve. + 3 = 9

A) 51 B) 36 C) -36 D) -51

8. Graph the solution set of x &#61500; -4.

A)
-4 0
B)
-4 0

C)
-4 0
D)
-4 0

9. An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.

A) x &#61619; 41 B) x &#61619; 38 C) x &#61619; 34 D) x &#61619; 36

10. Is 15 a solution to the equation 8 - x = 7?
Substitute 15 into the equation , so 15 is not the solution.
Or

So 1 is the only solution of the equation.

A) No B) Yes C) It cannot be determined D) None of the Choices

11. 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?

A) \$278,000 B) \$272,000 C) \$274,000 D) \$276,000

12. Solve for x. 3x - 2y = 6

A) 2 + 2y B) C) D)

13. Elaine was charged \$195 interest for 1 month on a \$1000 credit card balance. What was the monthly interest rate?

A) 20.5% B) 20% C) 19% D) 19.5%

14. Which label describes the following?
3x + 6 = 10
First of all, it is an equation. Secondly, it is an equation of the first order of x. so it is a linear equation.
A) Linear equation B) Equation which is not linear
C) Expression D) None of the Choices

15. Is 4 a solution to the equation x + 7 = 11?
Substitute 4 into equation . So 4 is a solution, and it is the only solution

A) No B) Yes C) It cannot be determined D) None of the Choices

16. Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.
Assume the first integer is n, then its consecutive interger is n+1. so

A) 9, 11 B) 7, 8 C) 24, 25 D) 109, 110

17. Solve. -3(10x - 3) + 10(3x - 3) = x - 7

A) 14 B) -14 C) 21 D) 37

18. Convert to a percent.

A) 39.14% B) 45.35% C) 56.25% D) 54019%

19. The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
A) W = 9 Cm L = 19 Cm B) W = 6 Cm L = 16 Cm
C) W = 7 Cm L = 17 Cm D) W = 8 Cm L = 18 Cm

20. Convert to a percent.

A) 55% B) 45% C) 50% D) 90%

21. Find the mean.
1, 6, 10, 11, 12
The total number of numbers is 5. Then the mean is the sum of all numbers divided by 5.

A) 5 B) 7 C) 8 D) 9

22. Solve and graph the solution set. 3(x - 4) > 7x - 9

A) -3/4 0
B) No Solution
C) None of the Choices
D)

23. The sum of a number and -11 is 4. Find the number.
A) -13 B) -25 C) 11 D) 15

24. Solve. 31x - 8(3x - 0.745) = 6x + 0.205
A) -5.755 B) 5.755 C) 4.577 D)7.457

25. Find the length of each side of the rectangle so that it has the given perimeter.

A) 14 in., 21 in. B) 11 in., 22 in.
C) 10 in., 15 in. D) 9 in., 16 in.

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