Name: 
 

Chapter 1 Post Test



 1. 

Identify any intercepts and test for symmetry. Then sketch the graph of the equation.

mc001-1.jpg
a.
x-intercept : mc001-2.jpg
y-intercept : mc001-3.jpg
No symmetry

mc001-4.jpg
b.
x-intercept : mc001-5.jpg
y-intercept : mc001-6.jpg
No symmetry
mc001-7.jpg
c.
x-intercept : mc001-8.jpg
y-intercept : mc001-9.jpg
No symmetry

mc001-10.jpg
d.
x-intercept : mc001-11.jpg
y-intercept : mc001-12.jpg
No symmetry

mc001-13.jpg
e.
x-intercept : mc001-14.jpg
y-intercept : mc001-15.jpg
No symmetry

mc001-16.jpg
 

 2. 

You purchase a jet ski for $10,000. The depreciated value, y, after x years is given by mc002-1.jpg. Sketch the graph of the equation given mc002-2.jpg.
a.
mc002-3.jpg
d.
mc002-6.jpg
b.
mc002-4.jpg
e.
mc002-7.jpg
c.
mc002-5.jpg
 

 3. 

Justify each step of the solution.

mc003-1.jpg
a.
Original equation.
Divide each side by mc003-2.jpg.
Simplify.
Subtract mc003-3.jpg from each side.
Simplify.
b.
Original equation.
Subtract mc003-4.jpg from each side.
Simplify.
Divide each side by mc003-5.jpg.
Simplify.
c.
Simplify.
Original equation.
Subtract mc003-6.jpg from each side.
Divide each side by mc003-7.jpg.
Simplify.
d.
Original equation.
Subtract mc003-8.jpg from each side.
Divide each side by mc003-9.jpg.
Simplify.
Simplify.
e.
Original equation.
Simplify.
Subtract mc003-10.jpg from each side.
Divide each side by mc003-11.jpg.
Simplify.
 

 4. 

The price of item is given for 2000 and 2007. Find the percent change for the item.

         mc004-1.jpg
a.
mc004-2.jpg decrease
b.
mc004-3.jpg decrease
c.
mc004-4.jpg increase
d.
mc004-5.jpg increase
e.
mc004-6.jpg increase
 

 5. 

Solve the following percent equation.

70 is mc005-1.jpg of what number?
a.
275
b.
225
c.
250
d.
300
e.
200
 

 6. 

Solve the quadratic equation by factoring.

mc006-1.jpg
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
e.
mc006-6.jpg
 

 7. 

Solve the equation by extracting square roots.

mc007-1.jpg
a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
mc007-5.jpg
e.
mc007-6.jpg
 

 8. 

Find real numbers a and b such that the equation is true.

mc008-1.jpg
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
e.
mc008-6.jpg
 

 9. 

Perform the addition or subtraction and write the result in standard form.

mc009-1.jpg
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
d.
mc009-5.jpg
e.
mc009-6.jpg
 

 10. 

Describe the error.

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
e.
mc010-6.jpg
 

 11. 

Select the equation which has the given solutions.

mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
d.
mc011-5.jpg
e.
mc011-6.jpg
 

 12. 

The temperature (in degrees Fahrenheit) of saturated steam increases as pressure increases. This relationship is approximated by the model

mc012-1.jpg

where x is the absolute pressure (in pounds per square inch).
Complete the table.

Absolute pressure, xmc012-2.jpgmc012-3.jpgmc012-4.jpgmc012-5.jpgmc012-6.jpg
Temperature, T     
a.
mc012-7.jpg
b.
mc012-8.jpg
c.
mc012-9.jpg
d.
mc012-10.jpg
e.
mc012-11.jpg
 

 13. 

Find the interval(s) on the real number line for which the radicand mc013-1.jpg is nonnegative.
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
e.
mc013-6.jpg
 

 14. 

The numbers of eggs mc014-1.jpg  (in billions) produced in the United States from 1990 through 2006 can be modeled by

                                   mc014-2.jpg

where t represents the year, with  mc014-3.jpg corresponding to 1990.
If this relationship between salary and time continues, when was the annual egg production mc014-4.jpg billion, but no more than mc014-5.jpg billion?
(Round the answer to two decimal places.)
a.
mc014-6.jpg
b.
mc014-7.jpg
c.
mc014-8.jpg
d.
mc014-9.jpg
e.
mc014-10.jpg
 

 15. 

The side of a square is measured as mc015-1.jpg inches with a possible error of mc015-2.jpg  inch. Using
these measurements, determine the interval containing the possible areas of the square.
Round your answers to three decimal places.
a.
mc015-3.jpg
b.
mc015-4.jpg
c.
mc015-5.jpg
d.
mc015-6.jpg
e.
mc015-7.jpg
 

 16. 

You stop at a self-service gas station to buy 15 gallons of 87-octane gasoline at $mc016-1.jpg a gallon. The gas pump is accurate to within mc016-2.jpg of a gallon. How much might you be undercharged or overcharged?
Round your answer to two decimal places.
a.
mc016-3.jpg
b.
mc016-4.jpg
c.
mc016-5.jpg
d.
mc016-6.jpg
e.
mc016-7.jpg
 

 17. 

Michael Kasha of Florida State University used physics and mathematics to design a new
classical guitar. The model he used for the frequency of the vibrations on a circular plate was

mc017-1.jpg,

where mc017-2.jpg is the frequency (in vibrations per second), t is the plate thickness (in millimeters), d is the diameter of the plate, mc017-3.jpg is the elasticity of the plate material, and mc017-4.jpg is the density of the plate material. For fixed values of d, mc017-5.jpg and mc017-6.jpg the graph of the equation is a line (see figure).

mc017-7.jpg
Estimate the frequency when the plate thickness is mc017-8.jpg millimeters.
a.
Around mc017-9.jpg
b.
Around mc017-10.jpg
c.
Around mc017-11.jpg
d.
Around mc017-12.jpg
e.
None of these
 

 18. 

Solve the inequality and graph the solution on the real number line.

mc018-1.jpg
a.
mc018-2.jpg
mc018-3.jpg
b.
mc018-4.jpg
mc018-5.jpg
c.
mc018-6.jpg
mc018-7.jpg
d.
mc018-8.jpg
mc018-9.jpg
e.
mc018-10.jpg
mc018-11.jpg
 

 19. 

Use a graphing utility to graph the equation. Use the graph to approximate the values of mc019-1.jpg that satisfy the inequality.

Equation:
mc019-2.jpg

Inequality:
mc019-3.jpg

a.

mc019-4.jpg
mc019-5.jpg
d.

mc019-10.jpg
mc019-11.jpg
b.

mc019-6.jpg
mc019-7.jpg
e.

mc019-12.jpg
mc019-13.jpg
c.

mc019-8.jpg
mc019-9.jpg
 

 20. 

Find the domain of mc020-1.jpg in the expression.

mc020-2.jpg
a.
mc020-3.jpg
b.
mc020-4.jpg
c.
mc020-5.jpg
d.
mc020-6.jpg
e.
mc020-7.jpg
 



 
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