Algebra 2 6.1,6.2,6.3,6.6 Review
True/False
Indicate whether the statement is true or false.
____1.The radical can be written in rational form as 45.
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.
a. / / b. / / c. / / d. /____3.
a. / / b. / / c. / / d. /____4.
a. / / b. / / c. / / d. /Multiply and simplify if possible.
____5.
a. / / b. / / c. / / d. / not possible____6.
a. / –3 / b. / 3 / c. / / d. / not possible____7.Simplify . Assume that all variables are positive.
a. / / c. /b. / / d. / none of these
____8.Simplify . Assume that all variables are positive.
a. / / c. /b. / / d. / none of these
Divide and simplify. Assume that all variables are positive.
____9.
a. / / b. / / c. / / d. /____10.
a. / / c. /b. / / d. / none of these
Add if possible.
____11.
a. / / c. /b. / / d. / not possible to simplify
____12.
a. / / c. /b. / / d. / not possible to simplify
Subtract if possible.
____13.
a. / / c. /b. / / d. / not possible to simplify
____14.
a. / / c. /b. / / d. / not possible to simplify
Solve the equation.
____15.
a. / 14 / b. / –8 / c. / 4 / d. / –6____16.3
a. / 83 / b. / 11 / c. / 27 / d. / 64____17.
a. / 25 / b. / 14 / c. / 34 / d. / 16____18.
a. / 11 / b. / 15; –1 / c. / –3 / d. / 1; –1____19.
a. / –2 / b. / 14; –14 / c. / 10 / d. / 2; –14Solve. Check for extraneous solutions.
____20.
a. / / b. / / c. / and / d. /____21.
a. / / b. / / c. / / d. /____22.Let and . Find f(x) + g(x).
a. / 2x – 4 / b. / –8x – 8 / c. / –8x – 4 / d. / 2x – 8____23.Let and . 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. Find f(g(2)).
a. / 6x + 3 / c. / 8x + 3b. / 16x + 3 / d. / 4x + 3
Algebra 2 6.1,6.2,6.3,6.6 Review
Answer Section
MULTIPLE CHOICE
1.ANS:FPTS:1
2.ANS:CPTS:1DIF:L2REF:7-1 Roots and Radical Expressions
OBJ:7-1.1 Roots and Radical ExpressionsSTA:MS AII 6b
TOP:7-1 Example 3KEY:simplifying a radical expression
4.ANS:BPTS:1DIF:L3REF:7-1 Roots and Radical Expressions
OBJ:7-1.1 Roots and Radical ExpressionsSTA:MS AII 6b
TOP:7-1 Example 3KEY:simplifying a radical expression
3.ANS:APTS:1DIF:L3REF:7-1 Roots and Radical Expressions
OBJ:7-1.1 Roots and Radical ExpressionsSTA:MS AII 6b
TOP:7-1 Example 3KEY:simplifying a radical expression
5.ANS:APTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical Expressions
OBJ:7-2.1 Multiplying Radical ExpressionsSTA:MS AII 6b
TOP:7-2 Example 1
KEY:multiplying radical expressions | simplifying a radical expression
6.ANS:DPTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical Expressions
OBJ:7-2.1 Multiplying Radical ExpressionsSTA:MS AII 6b
TOP:7-2 Example 1
KEY:multiplying radical expressions | simplifying a radical expression
8.ANS:APTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical Expressions
OBJ:7-2.1 Multiplying Radical ExpressionsSTA:MS AII 6b
TOP:7-2 Example 2
KEY:multiplying radical expressions | simplifying a radical expression
7.ANS:APTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical Expressions
OBJ:7-2.1 Multiplying Radical ExpressionsSTA:MS AII 6b
TOP:7-2 Example 2
KEY:multiplying radical expressions | simplifying a radical expression
9.ANS:BPTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical ExpressionsOBJ:7-2.2 Dividing Radical Expressions
STA:MS AII 6bTOP:7-2 Example 4
KEY:simplifying a radical expression | divide radical expressions | rationalize the denominator
10.ANS:APTS:1DIF:L2
REF:7-2 Multiplying and Dividing Radical ExpressionsOBJ:7-2.2 Dividing Radical Expressions
STA:MS AII 6bTOP:7-2 Example 4
KEY:simplifying a radical expression | divide radical expressions | rationalize the denominator
11.ANS:CPTS:1DIF:L2REF:7-3 Binomial Radical Expressions
OBJ:7-3.1 Adding and Subtracting Radical ExpressionsSTA:MS AII 6b
TOP:7-3 Example 1
KEY:binomial radical expressions | adding radical expressions | like radicals
12.ANS:DPTS:1DIF:L2REF:7-3 Binomial Radical Expressions
OBJ:7-3.1 Adding and Subtracting Radical ExpressionsSTA:MS AII 6b
TOP:7-3 Example 1
KEY:binomial radical expressions | adding radical expressions | like radicals
14.ANS:CPTS:1DIF:L2REF:7-3 Binomial Radical Expressions
OBJ:7-3.1 Adding and Subtracting Radical ExpressionsSTA:MS AII 6b
TOP:7-3 Example 1
KEY:binomial radical expressions | adding radical expressions | like radicals
13.ANS:CPTS:1DIF:L2REF:7-3 Binomial Radical Expressions
OBJ:7-3.1 Adding and Subtracting Radical ExpressionsSTA:MS AII 6b
TOP:7-3 Example 1
KEY:binomial radical expressions | adding radical expressions | like radicals
16.ANS:APTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 1
KEY:radical equation |
15.ANS:DPTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 1
KEY:radical equation |
17.ANS:CPTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 1
KEY:radical equation |
18.ANS:BPTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 2
KEY:radical equation | rational exponent
19.ANS:DPTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 2
KEY:radical equation | rational exponent
20.ANS:DPTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 4
KEY:radical equation | extraneous solutions
21.ANS:APTS:1DIF:L2REF:7-5 Solving Radical Equations
OBJ:7-5.1 Solving Radical EquationsSTA:MS AII 6cTOP:7-5 Example 5
KEY:extraneous solutions | radical equation | rational exponent
23.ANS:DPTS:1DIF:L2REF:7-6 Function Operations
OBJ:7-6.1 Operations with FunctionsSTA:MS AII 4dTOP:7-6 Example 1
KEY:addition and subtraction of functions | operations with functions
22.ANS:APTS:1DIF:L2REF:7-6 Function Operations
OBJ:7-6.1 Operations with FunctionsSTA:MS AII 4dTOP:7-6 Example 1
KEY:addition and subtraction of functions | operations with functions
24.ANS:CPTS:1