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# Algebra: Week 5 Problems

I've been working on this for the last few days. Some of the problems I understand and some I do not.

1. Perform the indicated operation:

2 &#61485;&#61480;&#61485;3&#61472;&#61481;
3 5

2. Use order of operations to simplify: 25 - 3(22 + 1) =

3. Simplify: 5(2a - 3b) + 3(4a - b) =

4. Evaluate 2(5x + 1) when x = 2.

For problems 5 and 6, solve for x:
5. 6x + 3 = 15

6. 4(x + 3) = &#61485;3(x - 2)

7. Solve the inequality 5(x + 2) > 25

8. Solve the proportion:

9. Determine if the ordered pair (1,3) is a solution of 5x + y = 8.

For the equation 6x + 3y = 12,

10. Solve it for y.

11. Identify the slope.

12. Identify the y intercept.

13. Solve the system by the substitution method.

2x + y = 4
4x &#61485; 3y = &#61485;2

Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state.

14. x + 3y = 2
4x + 12y = 8

15. 3x &#61485; 2y = 14
2x + 4y = 4

Solve the system by any method. If there is no solution or an infinite number of solutions, so state.

&#61485;7x + y = 2
21x &#61485; 3y = 4

#### Solution Summary

The solution provides step by step method for solving equations and inequalities using substitution method. Formula for the calculation is also included.

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