1. No category

Algebra 2 Lesson 6.5-6.7 Pre-Quiz
1.
(4pts each)Put
2.
c.
√16𝑎5 𝑏12
4
7𝑥 3
e. √ 4𝑏2
4
√𝑎7
(4pts each)Perform
the indicated radical operations. Place your final answers in simplest radical form.
a. 2√24𝑎3 𝑏5 ∙ √8𝑎7 𝑏 2
d. (12√10 − 6√5)(12√10 + 6√5)
b. 9√12 + 5√32 − √72
e.
6
√3−√2
f.
𝑥+1
√𝑥−1
(2pts each)Write
a. 2
4.
3
d. √81𝑎20 𝑏15
√27𝑎15 𝑏8
c. (7√2 − 3√3)(4√6 + 3√12)
3.
Name:__________________Per#____
each expression in simplest radical form:
a. √36𝑎6 𝑏11
b.
𝟏𝟎𝟐
3
4
(2pts each)Write
a. √4𝑥 − 7
each expression in radical form. You do not have to simplify the expression.
2
b. (𝑥 − 6)3
each expression in exponential form. You do not have to simplify the expression.
5
b. √3𝑥 3 𝑦 4
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5.
(2pts each)Evaluate
a. 125
6.
a. 𝑛 ∙ 𝑛
7.
1
b. 16−4
(4pts each)Simplify
4
9
each expression
2
3
each expression. Put your final answer in simplest form using exponent form.
3
4
(4pts each)Simplify
8.
c.
√27
4
√3
3
1
−
7𝑎5 ∙𝑎 2
4
c. √18√183
3
b. √ √64
(4pts each)Solve
each radical equation. Put your final answer in solution set brackets.
1
a. √2𝑥 + 5 − 4 = 3
c. (5𝑥 − 7)3 + 3 = 5
1
b. √𝑥 − 15 + √𝑥 = 3
9.
𝑎4
each expression. Put your final answer in simplest form using radical form.
4
a.
1
2
b. 𝑚−7
1
d. (𝑥 2 − 3𝑥 − 12)2 − (𝑥 + 9)2 = 0
(6pts each)Solve
each radical inequality. Graph your final answer on a number line.
a. √𝑥 + 3 + √𝑥 + 7 < 4
b. √𝑥 + 9 − √𝑥 > √3
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