TEAS Reading and Math Practice Questions

What is 30% of 120?

Answer: 36 The word OF indicates multiplication. Change the percentage (30%) to a decimal (0.3) and multiply it by 120. 120 x 0.3 = 36

A patient was given blood pressure medicine at a dosage of 2 grams. The patient's dosage was then decreased to 0.45 grams. By how much was the patient's dosage decreased?

Answer: the patient's dosage was decreased by 1.55g 2 grams - 0.45 grams = 1.55 grams (remember to line up decimal points when subtracting).

Which of the following sentences contains a metaphor? A. She could not remember the last time she felt so lost, perhaps not since before the accident B. The snow blanketed the small town in a pristine white quilt C. Despite his best efforts, the group grew more and more unruly as the party continued D. Without a sound, she returned to the night as quickly as she had come

B. The SNOW BLANKETED the small town in a pristine white quilt Metaphors are like similes in that they are used ti express comparisons, but metaphors do so in a way that allows the author to describe an item without being direct and obvious. Instead of using LIKE or AS, metaphors state that one thing IS another thing.

Which of the following is a primary source? A. Bibliography B. A review of a movie C. Autobiography D. A movie adaptation of real-life events

C. Autobiography (Written by the subject it is about) A primary source is the evidence closest to the subject being studied. A bibliography is a compilation of source, not a primary source. If you are studying a particular movie, a movie review would be a secondary source, and the movie you plan to write about would be a primary source. However, if you are using a movie as a source for real-life events, the movie would be a secondary source and documents or footage from the actual events would be a primary source.

Which of the following is NOT a form of figurative language? A. Exaggeration B. Simile C. Fact D. Metaphor

C. Fact Literal language is language that can be taken at fact value, such as statements of fact. Figurative language is often symbolic or contains implied meaning to stimulate the imagination.

Which of the following sentences contains a simile? A. The light faded with each step as the trees grew ever denser B. His eyes began to water as the car quickly pulled away C. He's as stubborn as a mule and twice as ugly D. Without so much as a pause, she deftly darted around the obstacle and continued running

C. He's AS STUBBORN AS a MULE and twice as ugly A simile is a figurative expression used to express comparisons, similarly to metaphors. unlike metaphors, similes use the distancing words LIKE or AS.

What is implied by the following scenario? "I hurried as fast as I could to class, only to find the test had already started when I arrived." A. I am at the wrong class B. I stayed up late and slept past my alarm C. I am late for class D. The test is too hard

C. I am late for class Implications are things that the author does not state directly but readers can assume based on what the author does say.

what is 14.5% of 96?

0.145 x 96 = 13.92

Write the place value of each digit in 14,059.826

1: ten thousands 4: thousands 0: hundreds 5: tens 9: ones 8: tenths 2: hundredths 6: thousandths

What is 150% of 20?

20 x 1.5 = 30

Find the area and perimeter of the following quadrilaterals: B. A parallelogram with height 3m, base 4m, and other side 6m.

A = bh = (3m)(4m) = 12m² P = 2a + 2b = 2 x 6m + 2 x 4m + 20m

Find the area and perimeter of the following quadrilaterals: A. A square with side length 2.5cm

A = s² = (2.5cm)² = 6.25cm² P = 4s = 4 x 2.5cm = 10cm

Write each of the following in numbers: A. Nine thousand four hundred thirty-five B. Three hundred two thousand eight hundred seventy-six C. Nine hundred one thousandths D. Nineteen thousandths E. Seven thousand one hundred forty-two and eighty-five hundredths

A. 9,435 B. 302,876 C. 0.901 D. 0.019 E. 7,142.85

Which of the following is an opinion? (Start of Craft and Structure section) A. Basketball is the best sport because it maintains the most constant action B. Stephen has a meeting after lunch this afternoon C. Mark's favorite color is orange because it reminds him or autumn D. Jim's team hasn't made it to the playoffs in three years

A. Basketball is the best sport because it maintains the most constance action The claim that basketball is the best is highly subjective and unable to be conclusively proven, so it is an opinion.

Which of the following describes the text at the conclusion of a page outlining where facts and figured were found? A. Footnote B. Ednote C. Tailnote D. Lognote

A. Footnote An endnote is similar to a footnote but differs in the fact that it is listed at the end of paragraphs and chapters of a document instead of the bottom of each page of the document.

Which of the following factors can be used as evidence for making predictions, conclusions, or interpretations about a text? (Select all that apply) A. Genre B. Context C. Author's name D. Implicit information E. Explicit information

A. Genre, B. Context, D. Implicit information, and E. Explicit information The genre and form of a text can allude to its purpose. The context of a text may also guide the reader's predictions, conclusions, and interpretations. Implicit and explicit info can help readers make inferences, but often, the reader will have to combine this info with their own knowledge or other info to make full conclusions, predictions, or interpretations.

Which type of tool is typically used for measuring trends over time? A. Line graph B. Bar graph C. Pie chart D. Flow chart

A. Line graph Bar graphs are used to illustrate numerical sets of data. Pie charts are circular graphs that are divided into sections to show how something is composed. A flow chart is a diagram that shows a workflow or process.

Summaries are difficult to read because they omit all of the following EXCEPT: (start of Key ideas and Details section) A. Supporting details B. Graceful language C. Digressions D. Asides

A. Supporting details An effective summary should contain much the same message as the original text. All of the significant supporting. details should be included, and none of the details included should be irrelevant or insignificant.

Janice made $40 during the first 5 hours she spent babysitting. She will continue to earn money at this rate until she finishes babysitting in 3 more hours. Find how much money Janice earned per hour and the total she earned babysitting.

Answer: $8 earned per hour and $64 total she earned babysitting. Take Janice's initial amount earned ($40), and divide it by the number of hours she worked (5) in order to find how much money she earns per hour. Since 40/5 = 8, Janice makes $8 and hour To find how much Janice made in total from babysitting, first add the first 5 hours to the remaining 3 to get an 8-hour total. Since Janice earns $8 per hour and she worked 8 hours: $8/hr x 8hours = $64

Determine the probability of the following events: A. Rolling an even number on a regular 6-sided die.

Answer: %50 The values on the faces of a regular die are 1, 2, 3, 4, 5, and 6. Since three of these are even numbers (2, 4, 6), the probability of rolling and even # is 3/6 = 1/2 = 0.5 = 50%.

Simplify the following: D. 0.22 + 0.5 - (5.5 + 3.3 ÷ 3)

Answer: -5.88 First, evaluate the terms in the parentheses: (5.5 + 3.3 ÷ 3) using order of operations: 3.3 ÷ 3 = 1.1, and 5.5 +1.1 = 6.6 Next, rewrite the problem: 0.22 + 0.5 - 6.6 Finally, add and subtract from left to right: 0.22 + 0.5 = 0.72; 0.72 - 6.6 = -5.88

A patient was given pain medicine at a dosage of 0.22 grams. The patient's dosage was then increased to 0.88 grams. By how much was the patient's dosage increased.

Answer: 0.58 The first step is to determine what operation (+ , - , x , ÷) the problem requires. Notice the keywords and phrases "by how much" and "increased." "Increased" means that you go from a smaller amount to a larger amount. This change can be found by subtracting the smaller amount from the larger amount.: 0.88 grams - 0.22 grams = 0.58 grams. (Remember to line up the decimals when subtracting).

Convert the following to a decimal and to a percentage: A. 4/5

Answer: 0.8 and 80% Recall that in the decimal system the first decimal place is one tenth: 4x2/5x2 = 8/10 = 0.8 Percent means "per hundred": 4x20/5x20 = 80/100 = 80%

A patient was given 40 mg of a certain medicine. Later, the patient's dosage was increased to 45 mg. What was the percent increase in his medication?

Answer: 12.5% increase in his medication To find the percent increase, first compare the original and increased amounts. The original amount was 40 mg, and the increased amount is 45 mg, so the dosage of medication was increased by 5mg. Now to find the percentage: Percent increase = New amount-original amount/original amount x 100% = 45mg-40mg/40mg x 100% + 5/40 x 100% = 0.125 x 100% = 12/5%

In a bank, the banker-to-customer ratio is 1:2. If seven bankers are on duty, how many customers are currently in the bank?

Answer: 14 customers are in the bank Use proportional reasoning to solve. Because there are twice as many customers as bankers, there must be fourteen customers when seven bankers are on duty: # of bankers/# of customers = 1/2 = 7/# of customers Represent the unknown # of customers as the variable x: 1/2 = 7/x To solve for x, cross multiply: 1x = 7 x 2, so x = 14

Perform the following conversions: A. 1.4 meters to centimeters

Answer: 140 centimeters 100cm/1m = xcm/1.4m Cross multiply to get x = 140cm

Perform the following conversions: G. 5 feet to centimeters

Answer: 152.4 centimeters 5 ft x 12in/1ft x 2.54 centi/1 inch = 152.4 centimeters

Perform the following conversions: B. 218 centimeters to meters

Answer: 2.18 meters 100cm/1m = 218cm/xm Cross multiply to get 100x = 218 This then will equal x = 2.18m

Perform the following conversions: F. 2 miles to kilometers

Answer: 3.218 kilometers 2 miles x 1.609 kilometers/1 mil = 3.218 kilometers

Convert the following to a decimal and to a percentage: B. 3 2/5

Answer: 3.4 and 340% The mixed number 3 2/5 has a whole number and a fractional part. the fractional part: 2/5 can be written as a decimal by dividing 5 into 2: this would = 0.4 Adding the whole number (3) to this would = 3.4 To find the equivalent percentage, multiply the decimal by 100: 3.4 (100) = 340% Notice that this percentage is greater than 100%. This makes sense because the original mixed number (3 2/5) is greater than 1.

Perform the following conversions: C. 42 inches to feet

Answer: 3.5 ft 12in/1ft = 42in/xft Cross multiply to get 12x = 42 This then will equal x = 3.5 ft

Convert the following to a fraction and to a decimal: A. 15%

Answer: 3/20 and 0.15 15% can be written as 15/100. Both 15 and 100 can be divided by 5: 15÷5/100÷5 = 3/20 When converting from a percentage to a decimal, drop the percent sign and move the decimal point two places to the left: 15% = 0.15

Simplify the following: B. 7/8 - 8/16

Answer: 3/8 The denominators of 7/8 and 8/16 are 8 and 16. The lowest common denominator of 8 and 16 is 16 because 16 is the least common multiple of 8 and 16. Convert the first fraction to its equivalent with the newly found common denominator of 16: 7x2/8x2 = 14/16 Now that the fractions have the same denominator, you can subtract them: 14/16 - 8/16 = 6/16 = 3/8

Perform the following conversions: D. 15 kilograms to pounds

Answer: 33 pounds 15 kilograms x 2.2 lbs/1 kilogram = 33lbs

Simplify the following: C. 1/2 + (3 (3/4) - 2) + 4

Answer: 4 3/4 When simplifying expressions, first perform operations within the groups. Within the set of parentheses are multiplication and subtraction operations. Perform the multiplication first to get: 1/2 + (9/4 - 2) + 4. Then, subtract two to obtain: 1/2 + 1/4 + 4. Finally, perform the addition from left to right: 1/2 + 1/4 + 4 = 2/4 + 1/4 +16/4 = 19/4 = 4 3/4

Perform the following conversions: H. 15.14 liters to gallons

Answer: 4 gallons 15.14 liters x 1 gallon/3.785 liters = 4 gallons

Simplify the following: E. 3/2 + (4 (0.5) - 0.75) + 2

Answer: 4.75 First, simplify within the parentheses, then change the fraction to a decimal and perform addition from left to right: 3/2 + (2 - 0.75) + 2 = 3/2 + 1.25 + 2 = 1.5 + 1.25 + 2 = 4.75

Perform the following conversions: E. 80 ounces to pounds

Answer: 5 pounds 80 ounces x 1 lb/16 ounces = 5 lbs

At a school, 40% of the teachers teach English. If 20 teachers teach English, how many teachers work at the school?

Answer: 50 teachers work at the school First, think about the # of teachers that work at the school. Will it be more or less than the # of teachers who work in a specific department such as english? More teachers work at the school, so the # you find to answer this question will be greater than 20. 40% of the teachers are english teachers. "of" indicates multiplication, and words like "is" and "are" indicate equivalence: 40% x t = 20, where t represents the total # of teachers. Solving for t: t = 20/40% = 20/0.40 = 50 teachers work at the school.

Perform the following conversions: J. 13.2 pounds to grams

Answer: 6000 grams 13.2lbs x 1 kilogram/2.2lbs x 1000grams/1 kilogram = 6000 grams

Convert the following to a fraction and to a decimal: B. 24.36%

Answer: 609/2500 and 0.2436 24.36% written as a fraction is 24.36/100, or 2436/10,000, which reduces to 609/2500. 24.36% written as a decimal is 0.2436 (recall that dividing by 100 moves the decimal two places to the left).

Determine the probability of the following events: B. Not getting a red ball when selecting one from a bag of 3 red balls, 4 black balls, and 2 green balls.

Answer: 66.7% The bag contains a total of 9 balls, 6 of which are not red, so the probability of selecting one non-red ball would be: 6/9 = 2/3 ≅ 0.667 ≅ 66.7%

Perform the following conversions: I. 8 quarts to liters

Answer: 7.57 liters 8 quarts x 1 gallon/4 quarts x 3.785 liters/1 gallon= 7.57 liters

Simplify the following: A. (2/5) / (4/7)

Answer: 7/10 Rewrite the problem as a multiplication problem: 2/5 x 7/4 = 2x7/5x4 = 14/20 Make sure the fraction is reduced to lowest terms. Both 14 and 20 can be divided by 2: 14/20 = 14 ÷ 2/ 20 ÷ 2 = 7/10

In a hospital emergency room, there are 4 nurses for every 12 patients. What is the ratio of nurses to patients? If the nurse-to-patient ration remains constant, how many nurses must be present to care for 24 patients?

Answer: 8 nurses must be present to care for 24 patients The ratio of nurses to patients can be written as: 4 to 12, 4:12, or 4/12 Because 4 and 12 have a common factor of 4, the ratio should be reduced to 1:3, which means that there is one nurse present for ever three patients. As this ratio remains constant: there must be 8 nurses present to care for 24 patients.

Describe the steps necessary to solve the equation 2(x +5) = 7(4 - x).

Answer: Description In equations that have a sum or difference of terms multiplied by another value or expression, the first step is to multiply those terms, distributing as necessary: 2(x + 5) = 2(x) + 2(5) = 2x + 10, and: 7(4 - x) = 7(4) - 7(x) = 28 - 7x So, the equation becomes: 2x + 10 = 28 - 7x. We can now add 7x to both sides to eliminate the variable from the right-hand side: 9x + 10 = 28 Similarly, we can subtract 10 from both sides to move all the constants to the right: 9x = 18 Finally, we can divide both sides by 9, yielding the final answer: x = 2

Describe the steps necessary to solve the equation 2x + 1 - X = 4 + 3x + 7.

Answer: Description Overall goal is to isolate the variable, x. First, move all the terms containing x to the left side of the equation, and all of the constant terms to the right side. (Remember, when you move a term to the other side of an equation its sign changes.) We are now left with: 2x - x - 3x = 4 + 7 - 1 Next, we combine the like terms on each side of the equation: -2x = 10 All that remains is to divide both sides by -2 to leave the x by itself. Solution: x = -5

Seeing the equation 2x + 4 = 4x + 7, a student divides the first terms on each side by 2, yielding X + 4 = 2x + 7, and then combines like terms to get X = -3. However, this is incorrect, as can be seen by substituting -3 into the original equation. Explain what is wrong with the student's reasoning.

Answer: Description The student's solution is incorrect: 2(-3) + 4 = -2 and 4(-3) + 7 = -5; clearly -2 does not equal -5. The mistake was in the first step. The student tried to simplify the two variable terms by dividing them by 2. However, it is not valid to multiply or divide only one term on each side of an equation by a number; when multiplying or dividing, the operation must be applied to every term in the equation. Dividing by 2 would yield: x + 2 = 2x + 7/2. The fraction given from this valid equation is inconvenient, so this may not be the best first step in solving this equation. It may be better to first combine like terms, subtracting 4x from both sides yields: -2x + 4 = 7 Subtracting 4 from both sides yields: -2x = 3 Now we can divide both sides by -2 to get: x = -3/2

At a hotel, 3/4 of the 100 rooms are occupied today. Yesterday, 4/5 of the 100 rooms were occupied. On which day were more of the rooms occupied and by how much more?

Answer: More rooms were occupied yesterday (80) and the difference in the number of rooms occupied is 5. First, find the number of rooms occupied each day. To do so, multiply the fraction of rooms occupied by the number of rooms available: # occupied = Fraction occupied x total number 3/4 x 100 = 75 4/5 x 100 = 80 The difference in the # of rooms occupied is: 80 - 75 = 5 rooms.

At a school, for every 20 female students there are 15 male students. This same student ratio happens to exist at another school. If there are 100 female students at the second school, how many male students are there?

Answer: Number of male students (x) = 75 Solve the proportion: #female students/#male students = 20/15 = 100/#male students Represent the unknown # of male students as the variable X: 20/15 = 100/x Cross multiply and then solve for x: 20x = 15 x 100 x = 1500/20 x = 75 male students

Ray earns $10 an hour at his job. Write an equation for his earnings as a function of time spent working. Determine how long Ray has to work in order to earn $360.

Answer: Ray must work 36 hours in order to earn $360 The # of dollars that Ray earns is dependent on the # of hours he works, so earnings will be represented by the dependent variable y and hours worked will be represented by the independent variable x. He earns $10 per hour worked, so his earnings can be calculated as y = 10x. To calculate the # of hours Ray must work in order to earn $360, plug in 360 for y and solve for x: 10x = 360 x = 360/10 = 36 hours

Two weeks ago, 2/3 of the 60 customers at a skate show were male. Last week, 3/6 of the 80 customers were male. During which week were there more male customers?

Answer: The # of male customers was the same both weeks. First, you need to find the # of male customer that were in the skate shop each week. You are given this amount in terms of fractions. So, to find the actual # of male customers, multiply the fraction of male customers to the # of customers in the store: Actual # of male customers = fraction of male customers x total customers Two weeks ago = 2/3 x 60 = 120/3 = 40 last week = 3/6 x 80 = 1/2 x 80 = 80/2 = 40

Solve the following for X: C. 40/8 = X/24

Answer: x = 120 8x = 40 x 24 8x = 960 x = 960/8 = 120

Solve the following for X: A. 45/12 = 15/X

Answer: x = 4 45x = 12 x 15 45x = 180 x = 180/45 = 4

Solve the following for X: B. 0.50/2 = 1.50/X

Answer: x = 6 0.5x = 1.5 x 2 0.5x = 3 x = 3/0.5 = 6

An author arguing that his point is correct because everybody else already agrees with it is an example of which type of persuasive technique? (start of Integration of Knowledge and Ideas section) A. Traditionalism B. Bandwagon approach C. Testimonials D. Generalizations

B. Bandwagon The bandwagon approach is the claim that an opinion is correct because it is held by the majority. Traditionalism is the belief that it is right to continue to do or believe things because that it what was done in the past. Testimonials are reviews and statements made by people to testify to the quality or worth of a product, service, person, or organization.

Which of the following sentences include a personification? A. She spun with incredible ferocity; it was hard to believe she wouldn't fall B. The swans danced gracefully across the surface of the water underneath the moonlight C. Unable to be contained any longer, his mirth erupted forth with raucous roars of laughter. D. His shout of triumph resounded throughout the stadium as he crossed the finish line

B. The SWANS DANCED gracefully across the surface of the water underneath the moonlight Personification is the description of a nonhuman thing as if the item were human. it often serves to make things more comprehensible to inspire the readers imagination.

Which of the following is most important when drawing conclusions from a text? A. The conclusions make sense to others B. The conclusions are supported directly by the text C. The conclusions agree with previous convictions D. The conclusions align with the author's purpose for writing the text

B. The conclusions are supported directly by the text Drawing conclusions from evidence directly supported in text ensures you have come to a logical conclusion, which will help you determine whether you agree with the writer or not.

What benefit do topic sentences provide for the reader? A. They organize a text into headings and subheadings B. They prepare the reader to receive new information by providing the main idea C. They convince the reader with detailed evidence D. They give the reader a call to action based on the supporting evidence

B. They prepare the reader to receive new information by providing the main idea. In some textbooks and academic articles, the author will place a topic or summary sentence at the beginning of each sentence as a means for preparing the reader for what is to come. Topic sentences should encapsulate the main idea of the text.

How many major types of logical organization are there? A. Three B. Four C. Five D. Six

D. Six Illustrations, definitions, division/classification, comparing and contrasting, cause and effect, and problem and solution.

What is the purpose of argument and persuasion in a free society? A. To give a space to underrepresented viewpoints free from hostility B. To quell instruction and dangerous ideas C. To allow experts to most efficiently debate their ideals D. To reach the best solution for a common good

D. To reach the best solution for a common good Argumentative and persuasive passages take a stand on a debatable issue, seek to explore all side of the issue, and aim to find the best possible solution.

Find the volume of the following solids: B. A trapezoidal prism with base area of 254 mm², base perimeter 74 mm, and height 10 mm.

V = Bh = (254 mm²) (10mm) = 2,540 mm³

Find the volume of the following solids: A. A cylinder with radius 5 m and height 0.5 m

V = πr²h = π(5m)² (0.5m) = 12.5π m³ ≈ 39.27 m³

Write out each of the following in words: A. 29 B. 478 C. 98,542 D. 0.06 E. 13.113

a. Twenty-nine B. Four Hundred seventy-eight C. Ninety-eight thousand five hundred forty-two D. Six hundredths E. Thirteen and on hundredth thirteen thousandths