Download Math 1314 - Test 4 - Review

Math 1314 -
Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Identify the graph of the function.
A
B
D
E
2. Determine which ordered pair is a solution of the system.
A (–2, 1)
____
C
B (–4, –5)
C (2, 1)
D (–5, 4)
E (1, –2)
3. Determine which ordered pair is a solution of the system.
A (–7,–3)
B (–4, –6)
C (6, 4)
D (6, –4)
E (–7, 1)
Short Answer
4. Use the One-to-One Property to solve the following equation for x.
- Test 4 - Ch 5 to 6
5. Rewrite the logarithmic equation
in exponential form.
6. Rewrite the exponential equation
in logarithmic form.
7. Identify the x-intercept of the function
8. Solve the equation
9. Rewrite the logarithm
.
for x using the One-to-One Property.
in terms of the common logarithm (base 10).
10. Rewrite the logarithm
in terms of the natural logarithm.
11. Find the exact value of
without using a calculator.
12. Simplify the expression
13. Find the exact value of
14. Condense the expression
15. Condense the expression
.
without using a calculator.
to the logarithm of a single term.
to the logarithm of a single term.
16. Condense the expression
to the logarithm of a single term.
17. Put the expressions in the appropriate order:
.
18. Determine whether or not
.
is a solution to
19. Solve the system by the method of substitution.
20. Solve the system by the method of substitution.
21. Solve the system by the method of elimination.
22. Solve the system by the method of elimination.
23. Solve using any method.
24. During one performance of a local arts council's presentation of Fiddler on the Roof, the box office
sold 200 tickets and collected $1372. If adult tickets sold for $8 and children's tickets sold for $6,
how many of each type of ticket were sold?
25. Use back-substitution to solve the system of linear equations.
Math 1314 Ch 5 to 6
Review
- Test 4 -
Answer Section
MULTIPLE CHOICE
1. ANS: E
2. ANS: A
substitution
3. ANS: D
substitution
PTS: 1
PTS: 1
OBJ: Identify graph of exponential function
OBJ: Solve systems of equations in two variables by
PTS: 1
OBJ: Solve systems of equations in two variables by
SHORT ANSWER
4. ANS:
PTS: 1
5. ANS:
OBJ: Solve exponential equations using one-on-one property
PTS: 1
6. ANS:
OBJ: Express logarithmic equation in exponential form
PTS: 1
7. ANS:
OBJ: Express exponential equation in logarithmic form
PTS: 1
8. ANS:
OBJ: Identify x-intercept of logarithmic function
–9
PTS: 1
9. ANS:
PTS: 1
10. ANS:
OBJ: Solve logarithmic equations using the one-on-one property
OBJ: Convert logarithmic expression from one base to another
PTS: 1
11. ANS:
OBJ: Convert logarithmic expression from one base to another
PTS: 1
12. ANS:
OBJ: Evaluate logarithmic function using properties of logarithms
–12
PTS: 1
13. ANS:
OBJ: Simplify logarithmic functions
2
PTS: 1
14. ANS:
OBJ: Evaluate logarithmic function using properties of logarithms
PTS: 1
15. ANS:
OBJ: Condense logarithmic function using the properties of logs
PTS: 1
16. ANS:
OBJ: Condense logarithmic function using the properties of logs
PTS: 1
17. ANS:
OBJ: Condense logarithmic function using the properties of logs
PTS: 1
18. ANS:
OBJ: Arrange logarithmic expressions in ascending order
no
PTS: 1
19. ANS:
OBJ: Check the solution to an exponential equation
(4, –3)
PTS: 1
20. ANS:
OBJ: Solve systems of equations in two variables by substitution
(–4, 15), (5, 24)
PTS: 1
21. ANS:
OBJ: Solve systems of equations in two variables by substitution
PTS: 1
22. ANS:
OBJ: Solve systems of equations in two variables by elimination
(dependent)
PTS: 1
23. ANS:
OBJ: Solve systems of equations in two variables by elimination
PTS: 1
24. ANS:
OBJ: Solve systems of equations in two variables by any algebraic method
adult tickets sold = 86; children's tickets sold = 114
PTS: 1
25. ANS:
PTS: 1
OBJ: Solve systems of equations in two variables
OBJ: Solve systems of three equations using back-substitution