Algebra 2 6 - Clinton Public School District
Algebra 2 6.1,6.2,6.3,6.6 Review
True/False
Indicate whether the statement is true or false.
____ 1. The radical [pic] can be written in rational form as 45[pic].
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the radical expression. Use absolute value symbols if needed.
____ 2. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 3. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 4. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
Multiply and simplify if possible.
____ 5. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |not possible |
____ 6. [pic]
|a. |–3 |b. |3 |c. |[pic] |d. |not possible |
____ 7. Simplify [pic]. Assume that all variables are positive.
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |none of these |
____ 8. Simplify [pic]. Assume that all variables are positive.
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |none of these |
Divide and simplify. Assume that all variables are positive.
____ 9. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 10. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |none of these |
Add if possible.
____ 11. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |not possible to simplify |
____ 12. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |not possible to simplify |
Subtract if possible.
____ 13. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |not possible to simplify |
____ 14. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |not possible to simplify |
Solve the equation.
____ 15. [pic]
|a. |14 |b. |–8 |c. |4 |d. |–6 |
____ 16. 3[pic]
|a. |83 |b. |11 |c. |27 |d. |64 |
____ 17. [pic]
|a. |25 |b. |14 |c. |34 |d. |16 |
____ 18. [pic]
|a. |11 |b. |15; –1 |c. |–3 |d. |1; –1 |
____ 19. [pic]
|a. |–2 |b. |14; –14 |c. |10 |d. |2; –14 |
Solve. Check for extraneous solutions.
____ 20. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] and [pic] |d. |[pic] |
____ 21. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 22. Let [pic] and [pic]. Find f(x) + g(x).
|a. |2x – 4 |b. |–8x – 8 |c. |–8x – 4 |d. |2x – 8 |
____ 23. Let [pic] and [pic]. Find f(x) + g(x).
|a. |10x + 12 |b. |10x – 2 |c. |–2x + 12 |d. |–2x – 2 |
____ 24. If f(x) = 2x + 3 and g(x) = 4x[pic]. Find f(g(2)).
|a. |6x[pic] + 3 |c. |8x[pic] + 3 |
|b. |16x[pic] + 3 |d. |4x + 3 |
Algebra 2 6.1,6.2,6.3,6.6 Review
Answer Section
MULTIPLE CHOICE
1. ANS: F PTS: 1
2. ANS: C PTS: 1 DIF: L2 REF: 7-1 Roots and Radical Expressions
OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b
TOP: 7-1 Example 3 KEY: simplifying a radical expression
4. ANS: B PTS: 1 DIF: L3 REF: 7-1 Roots and Radical Expressions
OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b
TOP: 7-1 Example 3 KEY: simplifying a radical expression
3. ANS: A PTS: 1 DIF: L3 REF: 7-1 Roots and Radical Expressions
OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b
TOP: 7-1 Example 3 KEY: simplifying a radical expression
5. ANS: A PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions
OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b
TOP: 7-2 Example 1
KEY: multiplying radical expressions | simplifying a radical expression
6. ANS: D PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions
OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b
TOP: 7-2 Example 1
KEY: multiplying radical expressions | simplifying a radical expression
8. ANS: A PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions
OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b
TOP: 7-2 Example 2
KEY: multiplying radical expressions | simplifying a radical expression
7. ANS: A PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions
OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b
TOP: 7-2 Example 2
KEY: multiplying radical expressions | simplifying a radical expression
9. ANS: B PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions
STA: MS AII 6b TOP: 7-2 Example 4
KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator
10. ANS: A PTS: 1 DIF: L2
REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions
STA: MS AII 6b TOP: 7-2 Example 4
KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator
11. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions
OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b
TOP: 7-3 Example 1
KEY: binomial radical expressions | adding radical expressions | like radicals
12. ANS: D PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions
OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b
TOP: 7-3 Example 1
KEY: binomial radical expressions | adding radical expressions | like radicals
14. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions
OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b
TOP: 7-3 Example 1
KEY: binomial radical expressions | adding radical expressions | like radicals
13. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions
OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b
TOP: 7-3 Example 1
KEY: binomial radical expressions | adding radical expressions | like radicals
16. ANS: A PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1
KEY: radical equation |
15. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1
KEY: radical equation |
17. ANS: C PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1
KEY: radical equation |
18. ANS: B PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 2
KEY: radical equation | rational exponent
19. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 2
KEY: radical equation | rational exponent
20. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 4
KEY: radical equation | extraneous solutions
21. ANS: A PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations
OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 5
KEY: extraneous solutions | radical equation | rational exponent
23. ANS: D PTS: 1 DIF: L2 REF: 7-6 Function Operations
OBJ: 7-6.1 Operations with Functions STA: MS AII 4d TOP: 7-6 Example 1
KEY: addition and subtraction of functions | operations with functions
22. ANS: A PTS: 1 DIF: L2 REF: 7-6 Function Operations
OBJ: 7-6.1 Operations with Functions STA: MS AII 4d TOP: 7-6 Example 1
KEY: addition and subtraction of functions | operations with functions
24. ANS: C PTS: 1
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