Name: ________________________
Class: ___________________
Date: __________
ID: A
Algebra 2 - TAKE HOME TEST- Unit 7A - Radical Functions
Test Information:
* Work must be shown on this test (when appropriate) in order to receive full credit.
* Circle your final answer, so that it can clearly be found.
* Each question will be worth 2.5 questions.
* This test will not be accepted late, it must be submitted to Mrs. Waddell at the start of class on
Monday, November 26th.
* Be a “smart” test taker. You may use your resources to help you - that does not mean copy a friend’s
work or have someone else to do this test for you. This is an opportunity for you to better learn the
material, and thus prepare for future assessments (such as the EOC and ACT).
6.1 I can...
* Find nth roots.
* Simplify radical expressions.
1. Find all the real square roots of 0.0025.
2. Simplify
3. Simplify
3
3
135a 10 b 15 . Assume that all variables are positive.
108a 13 b 12 . Assume that all variables are positive.
6.2 I can...
* Multiply, divide, and simplify radical expressions.
4. Multiply and simplify the following, if possible:
5. Multiply and simplify
3
5x 2 ⋅
3
10 ⋅
2
4x 5 . Assume that all variables are positive.
1
Name: ________________________
ID: A
6.3 I can...
* Add and subtract binomial radical expressions.
* Multiply binomial radical expressions.
* Rationalize expressions with radicals in the denominator.
6. Multiply.
7. Simplify −
ÊÁ
ÁÁ −8 −
ÁË
ˆÊ
7 ˜˜˜˜ ÁÁÁÁ 6 +
¯Ë
6 +5
Ê
8. Simplify. ÁÁÁÁ −4 −
Ë
4 +3
7
ˆ
7 ˜˜˜˜
¯
6 .
2
˜ˆ˜
˜˜
¯
9. Add the following if possible:
5
2x + 3
2x
10. Rationalize the denominator of the given expression:
3
11.
3
7
2
2
3 −
6
3 +
6
Name: ________________________
12.
ID: A
168x 14
7x
13. A garden has width
2 and length 4
2 . What is the perimeter of the garden in simplest radical form?
6.4 I can...
* Convert radicals to rational exponents, and vice versa.
* Rationalize espressions with radicals in the denominator.
3
14. Write the exponential expression 3x 7 in radical form.
15. Write the radical expression
8
7
in exponential form.
x 15
6.5 I can...
* Solve radical equations involving one or more radicals.
16. Solve the following equation:
1
17. ( −10x + 7 )
5
x + 7 − 10 = −6
1
= ( 9 − 6x)
5
3
Name: ________________________
ID: A
6.8 I can...
* Graph radical functions.
* Translate radical functions.
18. Graph the given function: y =
x −2
19. Rewrite y =
16x + 32 + 3 to make it easy to graph using a translation. Then, describe the
transformation of the parent function.
20. Describe the transformations of the parent function y = 0.5
y = −0.5
x+3 +2
4
x for the given function: