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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

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Solution Preview

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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.

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