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# Basic Algebra

1. Find the value of c ( formula ) C = P/9 if p = 144.

2. Find the perimeter of a triangular postage stamp with sides 2.7, 2.7, and 1.7 centimeters long.Choose from the following.

3. Choose "<", "=", or ">" symbol to make a true statement.
|-5| ..... - (-19)

4. Evaluate the expression.
(9 + 8 . 5)^3

5. Find the area of a triangle with a base of 5.75 centimeters (cm) and a height of 1.5 cm.Choose the correct answer from the following.

6. Remove the parentheses.

- 6(t - 9)

7. Is the statement below true or false?

12^2 + 8(13X - X^2) + 3X = 4X^2 + 107X

8. Solve the formula D = 1/10 bw for the variable b and choose the correct answer from the following.

9. The carpenter in the figure below saws a board into two pieces. He wants one piece to be 4 feet longer than twice the length of the shorter piece. Find the length of each piece if y = 28.

10. Find the midpoint of the line segment PQ.
P(2, 7), Q(5, 11)

11. True or False:
The points (3, 7), (0, 6), and (3, 5) lie on the following line:

y = 1/3x + 6

12. Tell whether the line that passes through the two given points is parallel or perpendicular (or neither) to a line with a slope of -2. Match the points in the left column with the appropriate phrase in the right column. Which one is Parallel, neither parallel nor perpendicular, or perpendicular.

(5,9), (7,5)
(5,9), (7,10)
(5,9), (7,-9)

13. Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form.

(6,1), (7,7)

14. Determine the equation of the line that passes through the point (1,2) and is parallel to the line 6 y - 24 x = 5. Select the correct answer in slope-intercept form:

15. Simplify the expression.

(3x^7 n ^-3)^2

16. Evaluate the polynomial function.

f (x) = 4 x 2 - 4 x + 5 for x = 2

17. Do the subtraction.

(7 x 2 y 5 + 5 x y - 7 y 4 ) - (2 x 2 y 5 - 9 xy + 3 y 4 )

18. Find the product.

(3 x - 3)(-5 x + 4)

#### Solution Summary

Basic algebra problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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