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Math 1010-2 Practice Midterm 1 1. Simplify the following expression: 3[(x − 1)2 + 2x(2x + 1) − x3 ] 2. Suppose f (x) = x2 + 1. Evaluate f (a + 1) − f (a) 3. Solve the following inequality for x. Then graph your solution on the real number line. x−3 x +3≤ 3 8 4. Plot (3, 1) and (2, −2) on a rectangular coordinate system. Find the distance between them. 5. Solve the following system of equations for (x, y): ( x + 7y = −6 x − 5y = 18 6. An appliance repair store charges $20 for the first half hour of a service call. The bill for a 3-hour service call is $45. What was the charge per hour after the first half hour? 7. Solve the following equation for x: |2x + 5| = 4 8. Find the equation of the line through (1, 1) which is parallel to y = −2x + 5 Write your answer in slope-intercept form. 9. Graph the solution of the following linear inequality: 2y > x + 4 10. Describe the relation between the graph of f (x) = x2 and the graph of h(x) = −(x + 1)2 . The problems of the real midterm will not necessarily come from this practice problem list.