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Algebra: Week 5 Problems

Please see attachment.

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 (see the attached file).
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) =.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 . ; 3y = .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 . 2y = 14
2x + 4y = 4

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

.7x + y = 2
21x . 3y = 4.

Attachments

Solution Preview

Please see the attachment.

1. Perform the indicated operation:

2 −(−3 )
3 5

Answer

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

Answer
25 - 3(22 + 1) = 25-3(4+1)=25-3*5=25-15=10

3. Simplify: 5(2a - 3b) + 3(4a - b) =
Answer
5(2a - 3b) + 3(4a - b) =(10a-15b)+12a-3b
= 10a+12a-15b-3b
=22a-18b

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

Answer

2(5*2 + 1)=2(10+1)=2*11=22

For problems 5 and 6, solve for x:
5. 6x + 3 = 15
Answer
6x+3=15
6x=15-3=12
x=12/6=2

6. 4(x + 3) = −3(x - 2)

Answer
4(x + 3) = −3(x - 2)
4x+4*3= -3x+(-3)*(-2)
4x+12= -3x+6
4x+3x= -12+6
7x=-6
X=-6/7

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

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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