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Basic Algebra Exercises

Example 1

Evaluate the expression 3x2 + 5xy – 2 for x = 3 and y = -2.

Example 2

The formula for the surface area of a cone is πrs + πr2, where r is the radius of the base and s is the length of the slant. Find the surface area of a cone with radius 10 cm and a slant of 12 cm (use 3.14 for π).

Example 3

Evaluate the expression x3 + x2 + x + 1 for x-values equal to -2, -1, 0, 1, and 2.

Example 4

Which of the following values of x make the equation x2 – 8x = -12 true?

x = 1, 2, 3, 4, 5, 6