# Algebra: Solve & Simplify

Problems in math 209.

1. Solve for x.

2(x - 5) = 6x - 26

2.Solve the inequality for u.

14 < -4 - 2u

3. A total of 511 tickets were sold for the school play. There were 61 more student tickets sold than adult tickets. How many adult tickets were sold?

4. Graph the line.

y = -3x + 3

5. Find the values of x and y that solve the following system of equations:

-8x + 5y = 24

6x - 7y = 8

6. Simplify.

w^2.w^4.w

7. Simplify.

(-3u^2/v)^2

Write your answer without parentheses.

8. rewrite the following without an exponent.

(9/2)^-2

9. Rewrite the following without an exponent.

(-5)^-3

10. Simplify.

(u^-6)^5

Write your answer without using negative exponents

11. Write 1,477,000 in scientific notation

12. Calculate.

(-3 * 10^-2)^4

Write your answer in scientific notation

13. Perform the following multiplications.

8u^8z^6.2z^9.2u

Simplify your answer as much as possible.

14. Multiply.

(x + 3)(x - 1)

Simplify your answer

15. Rewrite without parentheses and simplify.

(6t + 6)^2

#### Solution Preview

Please see the attachment.

1

Solve for .

Answer

That is, 2x - 10 = 6x - 26

That is, 4x = 16

Therefore, x = 16/4 = 4

2.Solve the inequality for .

Answer

That is, 18 < -2u

That is, 9 < -u

That is, -9 > u

Or u < -9

3. A total of tickets were sold for the school play. There were more student tickets sold than adult tickets. How many adult tickets were sold?

Answer

Let x be the number of adult tickets sold. Then the number of student tickets sold ...

#### Solution Summary

The solution provides step by step method for the simplification of algebraic expressions and solving equations. Detailed workings are also included.