Math 1010-2 Midterm 1A
Name:
Instructions: There are TEN problems in this exam. Answer the questions
in the spaces provided on the question sheets. If you need more space, use
the bottom of the last page, but remember to indicate which problem you are
doing. Partial credit will be awarded. Calculators are NOT allowed. This
exam is closed book and closed notes. Show you work on each problem.
1. (10 points) Suppose f (x) = (x + 1)2 + 2x − 1. Evaluate
f (y + 1) − f (1)
2. (10 points) Simplify the following expression:
−(a + 2)2 + (−a)[−(a − 2) + 2a]
1
3. (10 points) Solve the following inequality for x. Then graph your solution on the real number line.
4x − 3 < 10 − 2(x − 1)
4. (10 points) Plot (−1, 3) and (2, 4) on a rectangular coordinate system. Find the slope of the line
passing through these two points.
5. (10 points) Graph the solution of the following linear inequality:
3y ≥ 2x + 12
2
6. (10 points) Solve the following equation for x:
| − x + 3| = 6
7. (10 points) Find the equation of the line through (−1, 1) which is perpendicular to the line
3x + 4y = 5
Write your answer in slope-intercept form.
8. (10 points) One eighth of a number equals the number plus 14. What is the number?
3
9. (10 points) Solve the following system of equations for (x, y):
(
4x − y = 1
2x + y = 0
10. (10 points) Describe the relation between the graph of f (x) = |x| and the graph of h(x) = |x−1|−1.
4
Math 1010-2 Midterm 1B
Name:
Instructions: There are TEN problems in this exam. Answer the questions
in the spaces provided on the question sheets. If you need more space, use
the bottom of the last page, but remember to indicate which problem you are
doing. Partial credit will be awarded. Calculators are NOT allowed. This
exam is closed book and closed notes. Show you work on each problem.
1. (10 points) Suppose f (x) = (x + 1)2 + 2x − 1. Evaluate
f (y + 1) − f (1)
2. (10 points) Simplify the following expression:
−(a + 2)2 + (−a)[−(a − 2) + 2a]
1
3. (10 points) Solve the following inequality for x. Then graph your solution on the real number line.
4x − 3 < 10 − 2(x − 1)
4. (10 points) Plot (−1, 3) and (2, 4) on a rectangular coordinate system. Find the slope of the line
passing through these two points.
5. (10 points) Graph the solution of the following linear inequality:
3y ≥ 2x + 12
2
6. (10 points) Solve the following equation for x:
| − x + 3| = 6
7. (10 points) Find the equation of the line through (−1, 1) which is perpendicular to the line
3x + 4y = 5
Write your answer in slope-intercept form.
8. (10 points) One eighth of a number equals the number plus 14. What is the number?
3
9. (10 points) Solve the following system of equations for (x, y):
(
4x − y = 1
2x + y = 0
10. (10 points) Describe the relation between the graph of f (x) = |x| and the graph of h(x) = |x−1|−1.
4