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Which expression is NOT a linear equation in the form a x + b = c (with a ≠ 0)?
Solve x − 6 = 0 and present the final answer clearly.
Evaluate the following student's solution to 3x − 4 = 11: they added 4 to both sides to get 3x = 7, then divided by 3 and concluded x = 7/3. Determine whether the steps and final answer are correct, and if not provide the correct solution.
Solve 2x + 3 = 11.
Solve for x: (-2/5)x = 8.
A contractor charges a fixed deposit plus an hourly rate, which together equal the total cost. The model is (3/5)h + 120 = 420, where h is the number of hours worked. Solve for h and report the result as a whole number of hours.
Solve the following linear equation for :
Solve the following equation for :
Consider the equation . If you multiply both sides by to eliminate the fraction, does this operation preserve the original solution set? Justify your answer.
Which of the following best describes the fundamental difference between the solution to a linear equation (e.g., ) and a linear inequality (e.g., )?
A student solves the inequality and concludes that . Which statement correctly identifies the student's error and provides the proper solution?
Solve the inequality for .