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CPM Chapter 2 Test Review Algebra 2 Honors

Authored by Eric Goldsman

Mathematics

9th - 11th Grade

CCSS covered

Used 22+ times

CPM Chapter 2 Test Review Algebra 2 Honors
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This quiz targets Algebra 2 Honors at the 11th-grade level, covering multiple algebraic and function concepts essential for advanced high school mathematics. Students need mastery of exponential equations and the ability to convert between different bases to solve problems like 3^(2x) = (1/27)^(x-5), requiring them to recognize that 1/27 = 3^(-3) and apply properties of exponents. The quiz demands proficiency in completing the square or using vertex formulas to find parabola vertices, simplifying rational expressions with negative exponents, and working with quadratic functions in vertex form to identify transformations like stretches and translations. Students must solve systems of linear equations through substitution or elimination methods, apply exponential growth models with compound formulas, determine function symmetry by testing even/odd properties, and analyze polynomial behavior. The mathematical reasoning spans algebraic manipulation, function transformations, optimization problems, and the connections between algebraic and graphical representations. Created by Eric Goldsman, a Mathematics teacher in the US who teaches grades 9 and 11. This comprehensive review quiz effectively supports test preparation by combining conceptual understanding with computational skills across multiple Algebra 2 topics. Teachers can use this as a cumulative review before chapter assessments, assign it as homework to reinforce key concepts, or implement it as a formative assessment tool to identify areas needing additional instruction. The variety of question formats—from multiple choice exponential equations to short answer word problems—allows students to demonstrate mastery across different mathematical domains. This quiz aligns with Common Core standards A-SSE.1, A-SSE.3, A-CED.3, F-IF.4, F-IF.7, F-BF.3, and A-REI.7, providing comprehensive coverage of algebraic reasoning, function analysis, and problem-solving skills essential for success in advanced mathematics courses.

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13 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve.

 32x  = (127)x 53^{2x\ }\ =\ \left(\frac{1}{27}\right)^{^{x-\ 5}}  

x = -3

x = 3

x = -5

x = 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for y.  16(2y + 1) = 8(y  1)16^{\left(2y\ +\ 1\right)}\ =\ 8^{\left(y\ -\ 1\right)}  

y = 0

y = -2

y = 7/5

y = -7/5

y = -5/7

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f(x) = 3x2  24x + 3f\left(x\right)\ =\ -3x^2\ -\ 24x\ +\ 3  

What is the vertex?

(-4, 51)

(-4, 147)

(4, -141)

(4, 51)

(-12, 141)

Tags

CCSS.HSA.REI.B.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 3x2y4z315x3y7z3\frac{-3x^2y^4z^{-3}}{15x^3y^7z^{-3}}  

Simplify.

 5xy3-5xy^3  

 x5y3\frac{-x}{5y^3}  

 z65xy3\frac{-z^6}{5xy^3}  

 5xy3z6\frac{-5}{xy^3z^6}  

 15xy3\frac{-1}{5xy^3}  

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 R(c) = 2c2  100c + 1500R\left(c\right)\ =\ -2c^2\ -\ 100c\ +\ 1500  A store tells Halloween costumes. The maximum profit for the store per day is based on the function below. What is the maximum profit?

$25

$2,750

$5,250

-$2,500

$8,750

6.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

There are 120 shirts on sale, some are short sleeve and some are long sleeve. Short sleeve shirts cost $7.50 each and long sleeve shirts cost $12 each. If the total made from the sale of shirts was $1,044, then how many short sleeve shirts were sold?

Just write the number of short sleeve shirts without a label. For example, 30 short sleeves shirts would be answered as 30

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 f(x) = 2(x  3)3  6f\left(x\right)\ =\ 2\left(x\ -\ 3\right)^3\ -\ 6  

Which of the following is(are) true about

The key point is (-3, -6)

The compression factor is 2

The stretch factor is 2

The key point moves 3 to the right and down 6 from the origin

The function reflects

Tags

CCSS.HSF.BF.B.3

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