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NJGPA Practice Test #2

Authored by Zack Arenstein

Mathematics

11th Grade

CCSS covered

Used 13+ times

NJGPA Practice Test #2
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This quiz covers Algebra II topics that align with 11th-grade mathematics, focusing on linear systems, exponential functions, polynomial operations, and applied mathematical modeling. Students must demonstrate proficiency in interpreting graphs to determine unit rates, finding x- and y-intercepts of linear equations, understanding function notation in context, and setting up systems of linear inequalities to model real-world constraints. The multi-part problem about Carson's work schedule requires students to translate verbal descriptions into mathematical inequalities, evaluate solutions within given constraints, and solve for minimum values while considering practical limitations like whole hours. Additional concepts include calculating average rates of change for exponential growth functions, identifying exponential equations from described growth patterns, expanding and simplifying polynomial expressions, and performing polynomial subtraction. Students need strong algebraic manipulation skills, the ability to connect mathematical representations to real-world situations, and fluency with exponential and polynomial function properties. Created by Zack Arenstein, a Mathematics teacher in the US who teaches grade 11. This practice test effectively prepares students for the New Jersey Graduation Proficiency Assessment by providing comprehensive coverage of essential Algebra II standards. The quiz serves multiple instructional purposes, from diagnostic assessment to identify areas needing reinforcement, to homework assignments that build procedural fluency with key algebraic concepts. Teachers can use individual questions as warm-up problems or assign the complete assessment for comprehensive review before state testing. The varied question formats, including multiple choice, multi-select, and constructed response items, mirror the structure students will encounter on the actual NJGPA. This assessment aligns with Common Core standards A-CED.2 and A-CED.3 for creating and solving systems of equations and inequalities, A-SSE.3 for choosing equivalent forms of expressions, F-IF.6 for calculating average rates of change, and F-LE.2 for constructing exponential functions, providing targeted practice that strengthens both conceptual understanding and test-taking strategies.

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11 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The graph shows the relationship between the weight, in pounds, of Vidalia onions and their cost.

Which best estimates the cost per pound?

$0.78

$1.29

$2.58

$10.32

Tags

CCSS.7.RP.A.2D

2.

GRAPHING QUESTION

5 mins • 1 pt

On the coordinate plane provided, graph the line with equation 5y – 3x = –15 by selecting the x- and y-intercepts. A correct response must have the points placed at the intercepts.

Select the places on the coordinate plane to plot the points.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The value, V, of an investment is given by the function V(t), where t is the number of years since 1995 and V is measured in thousands of dollars. Which equation indicates that the investment had a value of $8,000 in 2005?

V(8) = 10

V(10) = 8

V(8000) = 2005

V(2005) = 8000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

4.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.

Part A

Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Which inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week?

Select all that apply.

Tags

CCSS.7.EE.B.3

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.

Part B

Which combination of numbers of hours would allow Carson to work 15 hours in one week and earn at least $96? Select all that apply.

10 hours babysitting and 5 hours clerical

11 hours babysitting and 4 hours clerical

12 hours babysitting and 3 hours clerical

13 hours babysitting and 2 hours clerical

14 hours babysitting and 1 hours clerical

Tags

CCSS.7.EE.B.3

6.

MATH RESPONSE QUESTION

5 mins • 1 pt

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.

Part C

Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at least $96 that week? Enter your answer in the box.

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.3

7.

MATH RESPONSE QUESTION

5 mins • 1 pt

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.


Part D

Suppose Carson worked at his father's business for 8 hours one week. What is the minimum number of hours he would need to work as a babysitter to earn at least $96 that week? Enter your answer in the box.

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.3

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