College Algebra CLEP Prep Practice Exam

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What is the solution of the equation x2 + 6x = 7?

–1
–1/2
1/2
1

The correct answer is: –1/2

The equation x2 + 6x = 7 can be rewritten as x2 + 6x - 7 = 0. This quadratic equation can be solved using the quadratic formula or factoring. Both methods will result in 2 solutions, one positive and one negative. However, only the negative solution of -1 will satisfy the equation given. Option A (-1) is the correct solution but in the positive form, which does not satisfy the equation. Option C (1/2) is the inverse of option B (-1/2), which would result in a positive solution that does not satisfy the equation. Option D (1) is also a positive solution that does not satisfy the equation. Therefore, option B (-1/2) is the only correct solution that satisfies the given equation.