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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

8. rewrite the following without an exponent.

(9/2)^-2

9. Rewrite the following without an exponent.

(-5)^-3

10. Simplify.

(u^-6)^5

11. Write 1,477,000 in scientific notation

12. Calculate.

(-3 * 10^-2)^4

13. Perform the following multiplications.

8u^8z^6.2z^9.2u

14. Multiply.

(x + 3)(x - 1)

15. Rewrite without parentheses and simplify.

(6t + 6)^2

Solution Preview

1
Solve for .

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

That is, 4x = 16

Therefore, x = 16/4 = 4
2.Solve the inequality for .

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?