Florida’s Postsecondary Education Readiness Test
Mathematics Practice Questions
Simplify: (4x²y³z⁻³)² / (8x³y⁵z⁻⁴)
- z / 2xy²
- 2z² / xy
- 8xy / z²
- 2xy / z²
Solve the equation: 2x² + x – 28 = 0.
- x = -4, 3.5
- x = -3.5, 4
- x = 3.5, 4
- x = -4, -3.5
Which of the following is the equation of a line that passes through (2, -5) and (-3, 10)?
- y = -3x + 1
- y – 3x = 1
- 3x + 2y = 1
- y + 1 = -3x
Solve the equation: x² – 11x + 24 = 0.
- x = -3, 8
- x = 3, 8
- x = -8, 3
- x = -8, -3
If ⅙x – 4 = 1, then x =
If 4x – (5y/2) = -10 and x = 5, then what is the value of y?
The inequality statement, 9x – 8 > 24 – 7x, can be fully simplified to which expression?
- x > 2
- x < 2
- x < 16
- x > 16
The varsity basketball team has 3 freshmen, 5 sophomores, 3 juniors, and 4 seniors. Approximately what percentage of the basketball team is comprised of sophomores?
Which of the following is equivalent to 6+(5-2)² * 3?
Which of the following is equivalent to the expression (4ab)(-5ab)?
Reading Practice Questions
Read the selection and answer the questions that follow.
Harold Washington’s acceptance speech. In 1983, Harold Washington was the first African American elected mayor of Chicago.
1 Tonight we are here. Tonight we are here to celebrate a resounding victory. We, we have fought a good fight. We have finished our course. And we have kept the faith. We fought that good fight. We fought it, with unseasoned weapons and with a phalanx of people who mostly have never been involved in a political campaign before. This has truly been a pilgrimage. Our government will be moving forward as well, including more people. And more kinds of people, than any government in the history of Chicago. Today… today… today, Chicago has seen the bright daybreak for this city and for perhaps this entire country. The whole nation is watching as Chicago is so powerful in this! Oh yes, they’re watching.
2 Out of the crucible… Out of the crucible of this city’s most trying election, carried on the tide of the most massive voter turnout in Chicago’s history. Blacks. Whites. Hispanics. Jews. Gentiles. Protestant and Catholics of all stripes. Have joined hands to form a new democratic coalition. And… and to begin in this place a new democratic movement.
3 The talents and dreams of our citizens and neighborhoods will nourish our government the way it should be cherished and feed into the moving river of mankind. And we have kept the faith in ourselves as decent, caring people who gather together as a part of something greater than themselves. We never stopped believing that we were a part of something good and something that had never happened before.
4 We intend to revitalize and rebuild this city. To open its doors and be certain that its babies are healthy! And its old people are fed and well-housed. We intend, we intend that our city will grow again and bring prosperity to ALL of its citizens.
In paragraph 1 of the selection, the repetition of the word “we” has the effect of —
- uniting the people and reminding them of their collective efforts in a singular cause.
- singling out the ones who did not join in the movement.
- addressing the governing body correctly in the plural tense.
- reminding the people of all the work that they still need to do.
In the first sentence of paragraph 3, the speaker employs what type of figurative language?
In this passage, the speaker is primarily concerned with —
- encouraging the people to continue working together to create positive changes.
- laying out the specifics of his detailed plan for the future so the people can be on board.
- celebrating their victory and now resting from their efforts.
- drawing on the hardships of the past to reconcile himself with the current situation.
As it is used in this selection, the word resounding means –
Read the selection and answer questions 5 and 6 that follow.
1 President Kennedy was not the first to imagine sending a man to the moon. A little more than 100 years earlier, in 1865, science fiction writer Jules Verne also imagined space travel. He put his innovative thoughts in a book called From the Earth to the Moon. In it he described a lunar expedition that is so eerily close to the Apollo 11 mission that a reader would think he was predicting the future. He called his spaceship with a crew of three the Columbiad. In his book the spacecraft launches from Florida, and the United States Navy recovers it from the Pacific Ocean. In 1969, Florida was the launch site of Apollo 11. The command module was named Columbia. When the spacecraft returned to Earth, it splashed down in the Pacific, where the Navy recovered it along with its three-astronaut crew. Verne accurately delineated the future when the technology of his own time made his predictions seem highly unlikely to occur. How could he have known that his far-fetched idea was not so far-fetched after all?
2 Like Verne, other science fiction writers have accurately described inventions that are commonplace today. Many of H. G. Wells’s ideas, for example, have become a reality. Considered by many to be one of the best science fiction writers of all time, Wells wrote about lasers, wireless communication, automatic doors, and other gadgets that did not exist at the time of his writings. But today these gadgets are such an integral part of our society that we probably cannot imagine living without them. Wells also describes a journey to the moon on a spaceship made from anti gravity material. We can only speculate that these writers might have inspired those who later turned their fiction into reality.
3 In 2012, a Mars rover, developed by the National Aeronautics and Space Administration (NASA), landed on the planet Mars. No one would have been more excited to hear the news than Ray Bradbury, one of America’s greatest science fiction writers. In 1950 he wrote about travel to Mars in his book The Martian Chronicles. The book describes an expedition that lands humans on Mars. The story then tells how the people inhabit the planet and bring their families to live there. Since NASA has successfully landed a rover on Mars, Bradbury’s fantasy may yet become reality. The Mars rover, appropriately called Curiosity, is gathering information that will help NASA plan a manned mission to Mars sometime in the 2030s. Will future families travel to Mars to live there, as Bradbury imagined? If so, the world as we know it today will certainly be different.
What is one detail that illustrates how Jules Verne’s book connects with the real Apollo 11 mission?
- When the spacecraft returned to earth, it landed in the Pacific Ocean.
- President Kennedy was in charge of the space launch.
- When they landed on Mars, it looked eerily similar to the way Verne had described it.
- The mission’s name, Apollo 11, was taken from Verne’s book.
How is the information in this selection organized?
Read the selection and answer questions 7 and 8 that follow.
When we think of bees, we think of pesky, buzzing insects that sting us and ruin outdoor gatherings. We might wonder: how badly can we possibly need bees? The truth is, bees are an incredibly important part of our ecosystem on Earth—no matter how annoying they may be to humans. We just don’t recognize their contributions. Here’s something that might surprise you: One out of every three mouthfuls of food in the American diet is, in some way, a product of honeybee pollination—from fruit to nuts to coffee beans. Bees have been disappearing around the world for some time now, and their mass disappearance continues to present new problems around the planet.
Which of the following sentences is an opinion stated in the passage?
- When we think of bees, we think of pesky, buzzing insects that sting us and ruin outdoor gatherings.
- One out of every three mouthfuls of food in the American diet is, in some way, a product of honeybee pollination—from fruit to nuts to coffee beans.
- Bees have been disappearing around the world for some time now, and their mass disappearance continues to present new problems around the planet.
- There are three kinds of bees in a hive: worker, drone, and queen.
If the selection had included a second paragraph, it probably would have focused on:
- reasons why bees aren’t necessary.
- reasons why bees are annoying creatures.
- problems caused by the disappearance of bees.
- infections caused by bee stings.
Which of the following details most supports the author’s view that “bees are an incredibly important part of our ecosystem on Earth?”
- The use of the word “annoying”
- The statistics used
- The use of the word “contributions”
- The mention of the “mass disappearance” of bees
Which of the following statements is the best summary of this selection?
- Bees are incredibly important to the ecosystem.
- While bees sometimes cause problems for humans, they are important to the ecosystem. Bees have been disappearing which is causing problems for the planet.
- We eat many foods that are a product of honeybee pollination.
- Bees cause problems for humans by stinging them and ruining outdoor gatherings.
Writing Practice Questions
Read the selection about sports and answer the question.
Sports are a wonderful means for mankind to exercise one of its most basic principles: competition with our fellow man. Surrounding all types of sports is the concept of sportsmanship – the respect and ethical behavior shown to all participants of a contest. The spirit of the game, in many cases, is more important than the outcome of the match; a true competitor understands this. This is why many of our most beloved athletes are not always the most talented performers—it is the players who play with the purest motive, for the sake of the team, and with respect for all opponents, who gain the respect and admiration of the fans.
There are greater lessons to be learned from sports than being well liked by fans. Sports, and by extension, the athletes who play them, extend beyond cultural differences; surely styles of play can vary between countries and regions, but in general, sports are played the same everywhere. Similarly, fans of a sport are able to appreciate incredible athletic feats or displays of true sportsmanship regardless of the player. Simply put, in a day and age when settling cultural differences is of utmost importance, sports are a reasonably viable way to bring the world closer together.
Lastly, international events such as the Olympic Games or World Cup are perfect opportunities to show the world that international cooperation and peace are possible. Sports can and should be used as instruments of change in an uncertain world. They can also be proponents of peace.
The Olympic Creed says it best: “The most important thing in the Olympic Games is not to win but to take part, just as the most important thing in life is not the triumph, but the struggle. The essential thing is not to have conquered, but to have fought well.”
Which of the following sentences would be the most effective thesis statement for the passage?
- In this essay, I will show why sports are important to society
- Statistics show that countries who compete in the Olympics are 30% more likely to see value in an opposing culture’s viewpoint
- Sports are a valuable activity for many reasons
- While many people see sports as merely exercise, sports actually serve many purposes: the creation of competition, the education of sportsmanship, and the connection of cultures
Choose the word that best completes the sentence.
Josephine’s mother faced hardships ________ her life, from the time she was born until recently, but she never stopped trying to make a better life for herself and her family.
Choose the sentences that best support the following topic sentence:
The Arctic has a wide variety of animal life.
- The plants found in the Arctic include flowering plants, grasses, moss, and lichen. Since there is little human activity in the Arctic, it contains an intact ecosystem.
- One of the animals found in the Arctic is the ermine. An ermine is a weasel-like mammal whose coat turns white in the winter.
- The Arctic has long, cold winters and short, cool summers. The land experiences heavy solar radiation in both the winter and summer.
- People who want to learn more about the animals of the Arctic can use the Internet to search for information. National Geographic’s website has really good articles about many Arctic animals.
Choose the best order of the sentences in the paragraph.
- From my bedroom, I smelled the sweet aroma of the glazed ham. Before long, we ate the scrumptious dinner. After the smell tickled my nose hairs, I ran to the kitchen to get a look. Yesterday my mother cooked a delicious, home-cooked meal.
- After the smell tickled my nose hairs, I ran to the kitchen to get a look. Yesterday my mother cooked a delicious, home-cooked meal. From my bedroom, I smelled the sweet aroma of the glazed ham. Before long, we ate the scrumptious dinner.
- Before long, we ate the scrumptious dinner. Yesterday my mother cooked a delicious meal. After the smell tickled my nose hairs, I ran to the kitchen to get a look. From my bedroom, I smelled the sweet aroma of the glazed ham.
- Yesterday my mother cooked a delicious, home-cooked meal. From my bedroom, I smelled the sweet aroma of the glazed ham. After the smell tickled my nose hairs, I ran to the kitchen to get a look. Before long, we ate the scrumptious dinner.
Choose the sentence that is written correctly.
- Seasoned with salt, Caleb decided to order the french fries for lunch.
- Caleb decided to order the salted french fries for lunch.
- Deciding to order for lunch, the salted french fries were what Caleb decided on.
- Ordered for lunch, Caleb decided on the salted french fries.
In researching soil, a research paper is located that includes the following information:
Soil is formed on the surface of the land. It contains water, minerals, and air. It also contains organic matter and decaying organisms.
There are different types of soil like clay, sandy, silty, peaty, chalky, and loamy. Each type of soil has a different texture and hue.
Which of the following notes should be taken to reference what soil is made of?
- Soil is formed on the surface of the land.
- Soil is made of water, minerals, air, chalk, and silt.
- Each type of soil has a different texture and hue.
- Soil is made of water, minerals, air, organic matter, and decaying organisms.
Choose the word that best completes the sentence.
To set a new school record, Lamar ________ the 100 meter dash tomorrow.
- have run
- will run
Choose the word that best completes the sentence.
Paul says that Camille and ________ went to the store to buy milk yesterday.
Which of the following sentences is written correctly?
- A constituent can vote on important matters, but he or she must register to vote first.
- A constituent can vote on important matters, but it must register to vote first.
- A constituent can vote on important matters, but they must register to vote first.
- A constituent can vote on important matters, but we must register to vote first.
Choose the word or words that best complete the sentence.
In pursuit of winning the race, race car drivers must drive ________ than their competitors.
- more fast
- more faster