Math 32, Fall 2001, Tracy Hall
Pre-test, 16 January Name
UGSI Section
This test is not for credit and will not be collected. It is a review of some basic
calculation and algebra skills which are expected background for the rest of what
we will do this semester, including some concepts from the first chapter of the text
for this course: Precalculus, David Cohen, fifth edition. Don’t worry if you don’t
have time to finish; this is just a chance to get you thinking about math.
Instructions: In the next 30 minutes, answer as many of the following questions
as you can. Work out your answers on scratch paper, if you like. No calculators,
notes, or other references may be used.
1. Add the following fractions and simplify your result:
7
15 +5
6+1
10
2. Multiply out the following expression and simplify the result:
3 + √7
2!2
3. Multiply out (78)(347) (remember, no calculators).
4. Using long division, find how many times 37 goes into 15947.
5. Circle the inequalities which are true, and cross out those which are false:
4≤7 3 ≤3 (2 −4)2<(4 −2)2
−7<−3 (−7)2<(−3)2| − 7|<| − 3|
6. Six years ago I was twice my youngest brother’s age, but right now the ratio
of his age to mine is 3 : 5. How old am I?
7. Write an expression which gives the distance between aand bon the real
number line.
8. Write an expression for the number which is halfway between aand bon the
real number line.
9. What natural numbers are included in the unbounded interval (−∞,5)?
(Natural numbers are whole numbers greater than zero.)
10. How many integers are included in the interval [3,13]? How about the
interval (3,13)?
