ALLIED MAT105 MODULE 8 HOMEWORK ASSIGNMENT

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PART I: EXERCISES

Directions: Answer each of the following questions. When appropriate, please show work.

1. What are variables and coefficients?

2. Evaluate x + y when x = 5 and y = -7.

3. Evaluatewhen x = 18 and y = 2.

4. What law or property do we use to multiply a real number times an expression?

5. Multiply: 8(2 – n)

6. Multiply: -2(y – 1)

7. Recall from earlier what the GCF is and how to find it.

8. Factor: 28 – 35x

9. Factor: 9a + 27 + 45b

10. How do we know when we have like terms?

11. Collect like terms: 3x – 15y – 8x + y

12. Collect like terms: -4a + b + 6a – 12b

13. What is the Addition Principle?

14. Solve: t + 9 = 23

15. Solve: t – 7 = 21

16. What is the Multiplication Principle?

17. Solve: 7t = -42

18. Solve:

19. Solve: 6t + 4 = 7t - 1

20. How can we rewrite an equation so that it has no fractions?

21. Solve:

22. Solve: 5 – t = 14

23. Solve:

24. Solve: 2.4t + 4.5 = 3.6t – 1.9 – 0.4t

25. Solve: 6(t + 4) = 54

26. Solve: -3t – 2(t – 1) = 5

27. Translate to an algebraic expression: Three less than some number.

28. The perimeter of a rectangular piece of poster board is 96 in. The length is 8 in. greater than the width. Find the width and the length.

29. Joseph allocates $800 to hotel stays. This represents 36% of his expense budget. Find his expense budget.

30. A 19-ft board is cut into two pieces. One piece is 3 ft longer than the other. How long are the pieces?

31. What is the formula for finding the amount in an account after t years using simple interest?

32. Money is invested in a savings account at 5% simple interest. After 1 year, there is $262.50 in the account. How much was originally invested?

33. When 18 is subtracted from four times a certain number, the result is 5/2 the original number. What is the number?

34. What is the sum of all of the angles in a triangle?

35. The second angle of a triangle is three times as large as the first. The third angle is 20 degrees less than the sum of the other two angles. Find the measure of the first angle.

PART II: JOURNAL ACTIVITY

Directions:Write a page about how the previous Modules build a foundation for working problems in Algebra. Also, define and discuss what Algebra is and its origins. Please ensure to document all sources that you utilize and remember to use proper APA format. For APA formatting guidelines, please visit the Academic Resource Center (ARC).