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Algebra 2 Exam Review

Authored by Tonya LeCour

Mathematics

KG - University

CCSS covered

Used 1K+ times

Algebra 2 Exam Review
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This Algebra 2 exam review covers advanced algebraic concepts appropriate for 11th and 12th grade students. The quiz comprehensively addresses function transformations, logarithmic and exponential equations, complex numbers, rational expressions, and composition of functions. Students need a solid foundation in algebraic manipulation, an understanding of function behavior and transformations, proficiency with exponent rules and radical expressions, and the ability to work with logarithmic and exponential relationships. The problems require students to apply multiple algebraic techniques simultaneously, such as completing the square, factoring polynomials, simplifying complex rational expressions, and converting between exponential and logarithmic forms. This level of mathematical reasoning demands strong computational skills combined with conceptual understanding of how different algebraic structures behave and interact. Created by Tonya LeCour, a Mathematics teacher in US who teaches grade 13. This comprehensive review quiz serves as an excellent tool for pre-assessment, cumulative review, or exam preparation in advanced algebra courses. Teachers can use this resource as a warm-up activity to gauge student readiness before introducing new topics, assign it as homework to reinforce previously taught concepts, or implement it as a formative assessment to identify areas requiring additional instruction. The variety of problem types makes it particularly valuable for spiral review, allowing students to practice connecting different algebraic concepts within a single assessment. This quiz aligns with Common Core standards A-SSE.1, A-SSE.2, A-CED.1, A-REI.2, F-IF.2, F-IF.3, F-BF.3, and F-LE.4, supporting student mastery of essential algebraic reasoning and function analysis skills that form the foundation for advanced mathematics courses.

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26 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

 Which function represents the graph of f(x) = ι x ι translated 3 units to the right?

g(x) = ι x - 3 ι
g(x) = ι x + 3 ι
g(x) = ιxι - 3
g(x) = ιxι + 3

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the domain of g(x) = -½ x2 - 4 ?

x > 0
All real numbers
x > -4
x < -4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which equation represents log2(1/32) = -5

2-5 = (1/32)
2-5 = -32
2-5 = 32
2-5 = - (1/32)

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which value would you add to x2 - 10x to complete the square?

5
-5
25
-25

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Simplify     (- 1/125)-2/3

1/25
- 1/25
25
-25

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If f(x) = 2x -6 and g(x) = 12 - 6x, which statement is true?

f ₒ g = g ₒ f
2 ( f ₒ g) = g ₒ f
-2 ( f ₒ g ) = g ₒ f
none of these

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve 4y2 + 7 = 0

y = 7i/2
y = - √7 /4
y = - √7 / 4
y = √7 / 4
y = ± i√7/4

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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