Download Pre-Calculus 11 Chapter 2 Exam Review

Pre-Calculus 11
Chapter 2 Exam Review
Short Answer
1. Which point on the number line has an absolute value of 4?
Z
–10
–8
–6
–4
–2
Y W
X
0
2
4
6
8
10
2. Evaluate:
3. Evaluate: | 3 + (
4. Evaluate
1
2
) | – | ( 3) – (1 ) |
3
5
when
.
5. Write this mixed radical as an entire radical:
6. Write this mixed radical as an entire radical:
7. Write this entire radical as a mixed radical:
8. Write this entire radical as a mixed radical:
9. Arrange these radicals in order from greatest to least. Write each as an entire radical to help you compare. [Do
not use a calculator]
i)
ii)
iii)
iv)
10. For which values of the variable, x, is this radical defined?
11. Write this radical in simplest form:
Then state the values of the variables, a and b, for which the radical is defined.
12. Simplify this radical, if possible:
13. Simplify by adding or subtracting like terms:
14. Simplify by adding or subtracting like terms:
15. Simplify by adding or subtracting like terms:
16. Simplify by adding or subtracting like terms:
17. Identify the values of the variable for which each radical is defined, then simplify.
18. Expand and simplify this expression:
19. Expand and simplify this expression:
20. Rationalize the denominator:
21. Expand and simplify this expression:
22. Simplify this expression:
23. Simplify this expression:
24. Solve this equation:
25. Solve this equation:
26. Solve this equation:
27. Solve this equation:
28. Solve this equation:
Pre-Calculus 11
Answer Section
Chapter 2 Exam Review
SHORT ANSWER
1. ANS:
Z
PTS: 0
LOC: 11.AN1
2. ANS:
–86
DIF: Easy
REF: 2.1 Absolute Value of a Real Number
TOP: Relations and Functions
KEY: Conceptual Understanding
PTS: 0
DIF: Moderate
REF: 2.1 Absolute Value of a Real Number
LOC: 11.AN1
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
3. ANS:
11
1
15
PTS: 1
DIF: Moderate
REF: 2.1 Absolute Value of a Real Number
LOC: 11.AN1
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
4. ANS:
7259
PTS: 0
DIF: Moderate
REF: 2.1 Absolute Value of a Real Number
LOC: 11.AN1
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
5. ANS:
PTS: 0
LOC: 11.AN2
6. ANS:
DIF: Easy
REF: 2.2 Simplifying Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
7. ANS:
DIF: Moderate
REF: 2.2 Simplifying Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
8. ANS:
DIF: Easy
REF: 2.2 Simplifying Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
9. ANS:
ii, iii, i, iv
DIF: Moderate
REF: 2.2 Simplifying Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
10. ANS:
DIF: Moderate
REF: 2.2 Simplifying Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
DIF: Moderate
REF: 2.2 Simplifying Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
11. ANS:
PTS: 0
DIF: Difficult
REF: 2.2 Simplifying Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
12. ANS:
cannot be simplified
PTS: 0
DIF: Easy
REF: 2.3 Adding and Subtracting Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Procedural Knowledge | Conceptual Understanding
13. ANS:
PTS: 0
LOC: 11.AN2
14. ANS:
DIF: Easy
REF: 2.3 Adding and Subtracting Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
DIF: Moderate
REF: 2.3 Adding and Subtracting Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
15. ANS:
PTS: 0
DIF: Moderate
REF: 2.3 Adding and Subtracting Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
16. ANS:
PTS: 0
DIF: Easy
REF: 2.3 Adding and Subtracting Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
17. ANS:
PTS: 0
DIF: Moderate
REF: 2.3 Adding and Subtracting Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
18. ANS:
PTS: 0
LOC: 11.AN2
19. ANS:
DIF: Easy
REF: 2.4 Multiplying and Dividing Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
20. ANS:
DIF: Moderate
REF: 2.4 Multiplying and Dividing Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN2
21. ANS:
DIF: Easy
REF: 2.4 Multiplying and Dividing Radical Expressions
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
DIF: Moderate
REF: 2.4 Multiplying and Dividing Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
22. ANS:
PTS: 0
DIF: Moderate
REF: 2.4 Multiplying and Dividing Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
23. ANS:
PTS: 0
DIF: Moderate
REF: 2.4 Multiplying and Dividing Radical Expressions
LOC: 11.AN2
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
24. ANS:
16
x=
81
PTS: 0
LOC: 11.AN3
DIF: Easy
REF: 2.5 Solving Radical Equations
TOP: Relations and Functions
KEY: Procedural Knowledge
25. ANS:
PTS: 0
LOC: 11.AN3
26. ANS:
DIF: Easy
REF: 2.5 Solving Radical Equations
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
LOC: 11.AN3
27. ANS:
x= 2
DIF: Moderate
REF: 2.5 Solving Radical Equations
TOP: Relations and Functions
KEY: Procedural Knowledge
PTS: 0
DIF: Moderate
REF: 2.5 Solving Radical Equations
LOC: 11.AN3
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge
28. ANS:
x=4
PTS: 0
DIF: Moderate
REF: 2.5 Solving Radical Equations
LOC: 11.AN3
TOP: Relations and Functions
KEY: Conceptual Understanding | Procedural Knowledge