Download Precalculus Chapter 1 Quiz Part I (sections 1 – 6)

Precalculus Chapter 1 Quiz Part I (sections 1 – 6)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Perform the indicated operation.
a.
b.
c.
d.
e.
____
2. Perform the indicated operation.
a. 2
b. 6
c. 8
d. 10
e. 4
____
3. Express the interval in terms of inequalities.
a.
b.
c.
d.
e.
____
4. State the property of real numbers being used.
a.
b.
c.
d.
e.
____
5. Use properties of real numbers to write the expression 5( 8x ) without parentheses.
a.
b.
c.
d.
e.
____
Commutative property for multiplication.
Commutative property for addition.
Associative property for multiplication.
Distributive property.
Associative property for addition.
40 + 5x
13x
200x
8x + 5
40x
6. Perform the indicated operations.
a.
b.
c.
d.
e.
174
175
172
171
169
____
7. Select the correct statement.
a.
b.
c.
d.
e.
____
8. Simplify the expression. Assume the letters denote any real numbers.
a. 3|x|
b. 6|x|
c. 5|x|
d. 4|x|
e. 9|x|
____
9. Simplify the expression.
Assume that b is a positive number.
a.
b.
c.
d.
e.
____ 10. Simplify the expression.
Eliminate any negative exponents. Assume that all variables are positive numbers.
a.
b.
c.
d.
e.
____ 11. Write the number 0.06447 in scientific notation.
a.
b.
c.
d.
e.
____ 12. Use scientific notation, the Laws of Exponents, and a calculator to perform the operation.
a.
b.
c.
d.
e.
____ 13. Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State
your answer correct to the number of significant digits indicated by the given data.
a.
b.
c.
d.
e.
____ 14. State whether the polynomial is a monomial, binomial, or trinomial, then list its terms and state its degree.
a.
b.
c.
d.
e.
Monomial
Monomial
Binomial
Binomial
Monomial
____ 15. Perform the indicated operations and simplify.
a.
b.
c.
d.
e.
____ 16. Perform the indicated operations and simplify.
a.
b.
c.
d.
e.
____ 17. Perform the indicated operations and simplify.
a.
b.
c.
d.
e.
____ 18. Factor out the common factor.
a. (z + 6)(z – 3)
b. (z + 5)(z – 3)
c. (z + 5)(z – 2)
d. (z + 6)(z – 2)
e. (z + 6)(z + 2)
____ 19. Factor the expression completely. Begin by factoring out the lowest power of each common factor.
a.
b.
c.
d.
e.
____ 20. Find the domain of the expression.
a.
b.
c.
d. all real numbers
e.
____ 21. An expression is given. Evaluate it at the given value.
a. –10
b. –9
c. 9
d. 10
e. –12
____ 22. Simplify the expression.
a.
b.
c.
d.
e.
____ 23. Rationalize the denominator.
a.
b.
c.
d.
e.
____ 24. A large pond is stocked with fish. The fish population P is modeled by the formula
,
where t is the number of days since the fish were first introduced into the pond. How many days will it
take for the fish population to reach 416?
a.
b.
c.
d.
e.
49 days
98 days
50 days
42 days
7 days
____ 25. Solve the equation.
a.
b.
c.
d.
e.
8
6
–6
–8
9
____ 26. Find all real solutions of the equation.
a.
b.
c.
d.
e.
x = 3, x = 5
x = 0, x = 5
none of these
x = 0, x = –33
x = 6, x = 10
____ 27. Simplify the expression.
a.
b.
c.
d.
e.
____ 28. Solve the equation.
–4w + 32 = –8w
a. 8
b. 32
c. 9
d. –8
e. –9
____ 29. Find all real solutions of the equation.
2x 2 + 7x – 4 = 0
a. none of these
b.
c.
d.
e.
____ 30. Find all real solutions of the equation.
a. 4, 0
b. 0
c. –12
d. 0, 12
e. 12