Texas A&M University Mathematics Practice Placement Exam
1. Find the xand yintercepts for the function f(x)=x3−9x.
2. Find the domain of:
(a) f(x)=√−x2−4x+5
(b) g(t)=ln(4t−3)
(c) h(x)= 1
x3+3x2−x−3
3. Simplify the expression. Write your answer using positive rational expo-
nents. 2
√x53
√4x
4. If we begin with the graph of f(x)=√x, shift 4 units to the right, shrink
vertically by a factor of 1
2, and shift upward 10 units, write an equation
for the transformed graph.
5. Solve for x:log(x+2)+log(x−1) = 1.
6. Factor completely: 3x2(4x2+1)
8+64x4(4x2+1)
7.
7. How far from the base of an 18 foot tall pole must a person be standing
if the angle of elevation from the ground to the pole is 41◦?
8. Find f◦gif f(x)= x
x+1 and g(x)=2
x. Simplify.
9. Perform the indicated operation and simplify: 8
x+1−y
z+2÷y−4
w
10. Solve for x:e2x−2ex−3=0.
11. Find the equation of the line passing through the point (5,1) with slope
7. Next, find ywhen x=−4.
12. If f(x)=√x+ 4, find and simplify f(2 + h)−f(2)
h.
13. Simplify (x2y4)5(x3y)−3
xy .
14. Simplify 3
√a3b3
√64a4b2.
15. Perform the operations and simplify.
x2
x2−x−2−4
x2+x−6+x
x2+4x+3
.
