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Basic Algebra

Complete and please show the work.
Please see attached file for full problem description.

1. Express 775% as a decimal.

A) 775 B) 77,500 C) 77.5 D) 7.75

2. Evaluate. | -7 | + | 13 |

A) 20 B) -20 C) 6 D) -6

3. Evaluate. 81 ÷ 9 - 16 ÷ 8

A) 7 B) 9 C) 6 D) 8

4. Express 9.41 as a percent.

A) 94.1% B) 941.0% C) 0.0941% D) 9.41%

5. Find the GCF for 14 and 21.

A) 7 B) 1 C) 42 D) 6

6. Subtract. 12.537 - 9.21

A) 3.327 B) 3.516 C) 1.1616 D) 11.616

7. Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible.
3(6 + 7)

A) 16 B) 39 C) 126 D) 25

8. Evaluate if m = -2, n = 4, and p = -1.

A) 16 B) -24 C) 24 D) -16

9. Multiply.
2y3  5y6

A) 10y18 B) 7y9 C) 10y9 D) 7y18

10. Use your calculator to evaluate the following expression if x = -3.07, and y = 8.77, and z = -6.66. Round your answer to the nearest tenth.
x - yz

A) 55.3 B) 54.0 C) 53.9 D) 56.4

11. Which property of the real numbers is illustrated by the following statement?
7 + 8 = 8 + 7

A) Distributive property C) Associative property of addition
B) Commutative property of addition

12. Add. -5.4 + 9.7

A) -15.1 B) 4.3 C) 15.1 D) -4.3

13. Solve. -8x + 8 + 10x = 2x + 1

A) No solution B) Identity C) 0 D) 1

14. Identify the base in the statement "20% of 500 is 100."

A) 500 B) 100 C) 20%

15. A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate?

A) 2.5% B) 2% C) 1% D) 1.5%

16. Solve. -7x = -14

A) -98 B) 98 C) 2 D) -2

17. Convert 0.32 to a percent.

A) 32% B) 3.2% C) 0.32% D) 0.0032%

18. A television is marked down from $350 to $308. What is the discount rate?

A) 12% B) 87% C) 11% D) 13%

19. Which of the ordered pairs is a solution for the equation 5x - 4y = 20?

A) (-4, -5) B) (0, 5) C) (0, -5) D) (-4, 0)

20. Find the slope of the graphed line.

A) 1 B) -2 C) Undefined D) 0

21. Find the slope of the graphed line.

A) B) 4 C) -4 D)

22. Give the coordinates of the point graphed below.

A) (-2, 3) B) (3, -2) C) (-3, 2) D) (2, -3)

23. Find the slope of the graphed line.

A) -2 B) - C) 2 D)

24. Rewrite the equation 4x - 10y = 11 as a function of x.

A) B) C) D)

25. Write the equation of the line that passes through point (1, -8) with a slope of 0.

A) x = -8 B) y = 1 C) y = -8 D) x = 1

26. One day, the temperature at 9:00 A.M. was 42°F, and by 2:00 P.M. the temperature was 57°F. What was the hourly rate of temperature change?

A) 3°F/h B) 4°F/h C) 5°F/h D) 2°F/h

27. Given f(x) = 5x2 - 3x + 1, find f(-2).

A) 15 B) 27 C) -13 D) -25

28. Write the equation of the line passing through (-6, -3) and (-6, 1).

A) y = 4x B) y = x - 6 C) x = -6 D) y = -6

29. The length of a rectangle is 1 in. more than twice its width. If the perimeter of the rectangle is 26 in., find the width of the rectangle.

A) 4 in. B) 5 in. C) 6 in. D) 3 in.

30. Solve the following system of linear inequalities by graphing.
x - 2y  4
x  4

A)
B)
C)
D)

31. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.

A) 7 B) 17 C) 34 D) 5

32. Solve the following system of linear inequalities by graphing.
x + 2y  3
2x - 3y  6

A) C)
B) D)

33. Janet invested $25,000, part at 5% and part at 2%. If the total interest at the end of the year is $980, how much did she invest at 5%?

A) $16,000 B) $9,000 C) $15,000 D) $17,000

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Basic algebra problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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