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.