PARCC Algebra Practice Test 1 2026
Get ready for your PARCC Algebra certification. Practice questions with step-by-step answer explanations and instant scoring.
1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
1. A: The following proportion may be written: 1/p=x/5. Solving for the variable, x, gives xp = 5, where x=5/p. So, Lynn can type 5/p pages, in 5 minutes.
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
2. A: Sally can paint 1/4 of the house in 1 hour. John can paint 1/6 of the same house in 1 hour. In order to determine how long it will take them to paint the house, when working together, the following equation may be written: 1/4 x+1/6 x=1. Solving for x gives 5/12 x=1, where x = 2.4 hours, or 2 hours, 24 minutes.
3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
3. D: Sale Price = $450 - 0.15($450) = $382.50, Employee Price = $382.50 - 0.2($382.50) = $306
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
4. D: $12,590 = Original Price - 0.2(Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50
5. Solve the following equation for A : 2A/3 = 8 + 4A
5. A: In order to solve for A, both sides of the equation may first be multiplied by 3. This is written as 3(2A/3)=3(8+4A) or 2A=24+12A. Subtraction of 12A from both sides of the equation gives -10A=24. Division by -10 gives A = -2.4.
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
6. A: Three equations may initially be written to represent the given information. Since the sum of the three ages is 41, we may write, l + s + j = 41, where l represents Leah's age, s represents Sue's age, and j represents John's age. We also know that Leah is 6 years older than Sue, so we may write the equation, l = s + 6. Since John is 5 years older than Leah, we may also write the equation, j = l + 5. The expression for l, or s + 6, may be substituted into the equation, j = l + 5, giving j = s + 6 + 5, or j = s + 11. Now, the expressions for l and j may be substituted into the equation, representing the sum of their ages. Doing so gives: s + 6 + s + s + 11 = 41, or 3s = 24, where s = 8. Thus, Sue is 8 years old.
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?
7. E: Simple interest is represented by the formula, I = Prt, where P represents the principal amount, r represents the interest rate, and t represents the time. Substituting $4,000 for P, 0.06 for r, and 5 for t gives I = (4000)(0.06)(5), or I = 1,200. So, he will receive $1,200 in interest.
8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
8. A: $670 = Cost + 0.35(Cost) = 1.35(Cost), Cost = $670/1.35 = $496.30
9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?
9. D: The amount of taxes is equal to $55*0.003, or $0.165. Rounding to the nearest cent gives 17 cents.
10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" in the mathematics class, and an "A" in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
10. C: The GPA may be calculated by writing the expression, ((3*2)+(4*3)+(2*4)+(3*3)+(4*1))/13, which equals 3, or 3.0.
11. Simon arrived at work at 8:15 A. (Carisoprodol) M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?
11. C: From 8:15 A.M. to 4:15 P.M., he gets paid $10 per hour, with the total amount paid represented by the equation, $10*8=$80. From 4:15 P.M. to 10:30 P.M., he gets paid $15 per hour, with the total amount paid represented by the equation, $15*6.25=$93.75. The sum of $80 and $93.75 is $173.75, so he was paid $173.75 for 14.25 hours of work.
12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
12. D: If she removes 13 jellybeans from her pocket, she will have 3 jellybeans left, with each color represented. If she removes only 12 jellybeans, green or blue may not be represented.
13. If r = 5 z then 15 z = 3 y, then r =
13. A: The value of z may be determined by dividing both sides of the equation, r=5z, by 5. Doing so gives r/5=z. Substituting r/5 for the variable, z, in the equation, 15z=3y, gives 15(r/5)=3y. Solving for y gives r = y.
14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
14. A: 50 cents is half of one dollar, thus the ratio is written as half of 300, or 150, to x. The equation representing this situation is 300/x*1/2=150/x.
15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?
15. B: The following proportion may be used to determine how much Lee will make next week: 22/132=15/x. Solving for x gives x = 90. Thus, she will make $90 next week, if she works 15 hours.
16. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
16. C: The given equation should be solved for x. Doing so gives x = 6. Substituting the x-value of 6 into the expression, 5x + 3, gives 5(6) + 3, or 33.
17. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?
17. C: The amount you will pay for the book may be represented by the expression, 80+(80*0.0825). Thus, you will pay $86.60 for the book. The change you will receive is equal to the difference of $100 and $86.60, or $13.40.
18. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?
18. B: The amount you have paid for the car may be written as $3,000 + 6($225), which equals $4,350.
19. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?
19. A: You will need 40 packs of pens and 3 sets of staplers. Thus, the total cost may be represented by the expression, 40(2.35) + 3(12.95). The total cost is $132.85.
20. If y = 3, then y3(y3-y)=
20. C: Substituting 3 for y gives 33 (33-3), which equals 27(27 - 3), or 27(24). Thus, the expression equals 648.
Candidates can also sharpen their skills with our PARCC practice test 2026, which includes hundreds of practice questions in the exact format and difficulty of the real exam.
Along with the IAAT, check our CogAT practice test to sharpen the quantitative and spatial reasoning skills tested in both exams.
AMC 8 competitors often also practice with our CogAT practice test to sharpen the mathematical reasoning and problem-solving skills both assessments measure.
Professionals preparing for information and freedom of information assessments may also benefit from the PMP Practice Test 2026, which covers project governance, documentation management, and compliance frameworks applicable to public records work.
Free PARCC Study Tools
Interactive PARCC resources on PracticeTestGeeks, free to start:
- PARCC Intermediate Mathematics Practice Questions 1 — 40 questions with instant scoring and answer explanations
- PARCC flashcards — review key terms and concepts card by card
- PARCC study guide — topic-by-topic overview of what the exam covers
- PARCC cheat sheet — one-page printable summary for last-minute review
Important: The PARCC exam covers multiple domains. Create a study schedule that allocates more time to unfamiliar topics while maintaining review of strong areas.
- ✓Confirm your exam appointment and location
- ✓Bring required identification documents
- ✓Arrive 30 minutes early to check in
- ✓Read each question carefully before answering
- ✓Flag difficult questions and return to them later
- ✓Manage your time — don't spend too long on one question
- ✓Review flagged questions before submitting
- +Validates your knowledge and skills objectively
- +Increases job market competitiveness
- +Provides structured learning goals
- +Networking opportunities with other certified professionals
- −Study materials can be expensive
- −Exam anxiety can affect performance
- −Requires dedicated preparation time
- −Retake fees apply if you don't pass
Pros and Cons at a Glance
| Pros | Cons |
|---|---|
| Validates your knowledge and skills objectively | Study materials can be expensive |
| Increases job market competitiveness | Exam anxiety can affect performance |
| Provides structured learning goals | Requires dedicated preparation time |
| Networking opportunities with other certified professionals | Retake fees apply if you don't pass |
Sample PARCC Practice Questions
Try these questions from our free PARCC practice tests. The correct answer and an explanation follow each question.
2. Kate got a 56 on her first math test. On her second math test, she raised her grade by 12%. What was her grade?
- A. 62.7
- B. 67.2
- C. 68.0
- D. 72.3
Answer: A. 62.7
To find Kate's new grade, first calculate the increase: 12% of 56 is 0.12 * 56 = 6.72. Then, add this increase to her original grade: 56 + 6.72 = 62.72. Therefore, her new grade was 62.7 when rounded to one decimal place.
17. Among the many fields of science, no matter what turns you on, there are several fields of study.
- A. science, no matter what turns you on,
- B. Science, no matter what turns you on,
- C. Science, no matter which you chose,
- D. Science, no matter which of these you chose-
- E. science, no matter which you choose,
Answer: E. science, no matter which you choose,
The original sentence uses an informal and less precise phrase, 'no matter what turns you on.' The corrected option replaces this with the more formal and appropriate 'no matter which you choose.' This change improves the sentence's tone and clarity, making it suitable for a broader range of contexts.
Which sentence uses "affect" correctly?
- A. The medicine had a positive affect on her.
- B. The cold weather did not affect the game.
- C. What was the affect of the new rule?
- D. Please affect to the instructions given.
Answer: B. The cold weather did not affect the game.
"Affect" is a verb meaning to influence, so it correctly fits "did not affect the game."
3. Jill sets the plates on the table.
- A. The
- B. Plates
- C. Table
- D. Sets
Answer: D. Sets
The correct answer is 'Sets'. 'Sets' is the main verb in the sentence, indicating the action that Jill performs. It describes what Jill does with the plates on the table.
PARCC Practice Test Questions
Prepare for the PARCC - Partnership for Assessment of Readiness for College and Careers exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.
PARCC Advanced Grammar Practice Questions
PARCC Exam Questions covering Advanced Grammar Practice Questions. Master PARCC Test concepts for certification prep.
PARCC Advanced Mathematics Practice Questions
Free PARCC Practice Test featuring Advanced Mathematics Practice Questions. Improve your PARCC Exam score with mock test prep.
PARCC Advanced Reading Practice Questions ...
PARCC Mock Exam on Advanced Reading Practice Questions Story. PARCC Study Guide questions to pass on your first try.
PARCC Author's Purpose Practice Questions ...
PARCC Questions and Answers on Author's Purpose Practice Questions Story. Free PARCC practice for exam readiness.
PARCC Averages and Rounding Practice Quest...
PARCC Mock Test covering Averages and Rounding Practice Questions. Online PARCC Test practice with instant feedback.
PARCC Basic Operations Practice Questions
Free PARCC Quiz on Basic Operations Practice Questions. PARCC Exam prep questions with detailed explanations.
PARCC Comma Practice Test Questions
PARCC Practice Questions for Comma Practice Test Questions. Build confidence for your PARCC certification exam.
PARCC Fractions and Square Root Practice Q...
Free PARCC Practice Test featuring Fractions and Square Root Practice Questions. Improve your PARCC Exam score with mock test prep.
PARCC Grade 3 ELA Practice Test Questions
Free PARCC Quiz on Grade 3 ELA Practice Test Questions. PARCC Exam prep questions with detailed explanations.
PARCC Grade 3 Math Practice Test Questions
PARCC Test Online for Grade 3 Math Practice Test Questions. Free practice with instant results and feedback.
PARCC Grade 4 ELA Practice Test Questions
PARCC Study Material on Grade 4 ELA Practice Test Questions. Prepare effectively with real exam-style questions.
PARCC Grade 4 Math Practice Test Questions
Free PARCC Test covering Grade 4 Math Practice Test Questions. Practice and track your PARCC exam readiness.
PARCC Grade 5 ELA Practice Test Questions
PARCC Exam Questions covering Grade 5 ELA Practice Test Questions. Master PARCC Test concepts for certification prep.
PARCC Grade 5 Math Practice Test Questions
Free PARCC Practice Test featuring Grade 5 Math Practice Test Questions. Improve your PARCC Exam score with mock test prep.
PARCC Grade 6 ELA Practice Test Questions
PARCC Mock Exam on Grade 6 ELA Practice Test Questions. PARCC Study Guide questions to pass on your first try.
PARCC Grade 6 Math Practice Test Questions
PARCC Test Prep for Grade 6 Math Practice Test Questions. Practice PARCC Quiz questions and boost your score.
PARCC Grade 7 ELA Practice Test Questions
PARCC Questions and Answers on Grade 7 ELA Practice Test Questions. Free PARCC practice for exam readiness.
PARCC Grade 7 Math Practice Test Questions
PARCC Mock Test covering Grade 7 Math Practice Test Questions. Online PARCC Test practice with instant feedback.
PARCC Grade 8 ELA Practice Test Questions
Free PARCC Quiz on Grade 8 ELA Practice Test Questions. PARCC Exam prep questions with detailed explanations.
PARCC Grade 8 Math Practice Test Questions
PARCC Practice Questions for Grade 8 Math Practice Test Questions. Build confidence for your PARCC certification exam.
PARCC Grade 9 ELA Practice Test Questions
PARCC Test Online for Grade 9 ELA Practice Test Questions. Free practice with instant results and feedback.
PARCC Grammar Practice Online Questions
PARCC Study Material on Grammar Practice Online Questions. Prepare effectively with real exam-style questions.
PARCC Grammar Practice Questions
Free PARCC Test covering Grammar Practice Questions. Practice and track your PARCC exam readiness.
PARCC Intermediate Mathematics Practice Qu...
Free PARCC Practice Test featuring Intermediate Mathematics Practice Questions. Improve your PARCC Exam score with mock test prep.
PARCC Mathematics Practice Questions
PARCC Mock Exam on Mathematics Practice Questions. PARCC Study Guide questions to pass on your first try.
PARCC Measurement Practice Problems
PARCC Test Prep for Measurement Practice Problems. Practice PARCC Quiz questions and boost your score.
PARCC Noun Practice Quiz
PARCC Questions and Answers on Noun Practice Quiz. Free PARCC practice for exam readiness.
PARCC Percent and Ratio Practice Questions
PARCC Mock Test covering Percent and Ratio Practice Questions. Online PARCC Test practice with instant feedback.
PARCC Reading Comprehension Practice Test ...
Free PARCC Quiz on Reading Comprehension Practice Test story. PARCC Exam prep questions with detailed explanations.
PARCC Reading Main Idea Practice Questions...
PARCC Practice Questions for Reading Main Idea Practice Questions Story. Build confidence for your PARCC certification exam.
PARCC Reading Vocabulary Practice Questions
PARCC Test Online for Reading Vocabulary Practice Questions. Free practice with instant results and feedback.
PARCC Sentence Correction Practice Questions
PARCC Study Material on Sentence Correction Practice Questions. Prepare effectively with real exam-style questions.
PARCC Sentence Flow Practice Questions
Free PARCC Test covering Sentence Flow Practice Questions. Practice and track your PARCC exam readiness.
PARCC Usage Practice Questions
PARCC Exam Questions covering Usage Practice Questions. Master PARCC Test concepts for certification prep.
PARCC Verb Practice Test Questions
Free PARCC Practice Test featuring Verb Practice Test Questions. Improve your PARCC Exam score with mock test prep.
PARCC Word Usage Practice Test Questions
PARCC Mock Exam on Word Usage Practice Test Questions. PARCC Study Guide questions to pass on your first try.
How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- osse.dc.gov — Passing score, score release, test dates, eligibility, exam information · verified Oct 2026
- dc.mypearsonsupport.com — Test delivery · verified Oct 2026