Algebra: Solve & Simplify
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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 Summary
The solution provides step by step method for the simplification of algebraic expressions and solving equations. Detailed workings are also included.
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 ...
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