Free TEAS Practice Test

Answer

Last of all, mix together all the ingredients.

Explanation

“Last of all” is a phrase that marks the last action in a sequence. Answer (A) is incorrect because the word “finally!” is used here to express relief that something has happened after a long wait. It does not necessarily mark the last item in a sequence. Answer (B) is incorrect because the phrase “in the end” as it is used in the sentence means “ultimately” or “in the long run.” Answer (C) is incorrect because the phrase “the last thing I wanted” as it is used in the sentence means “I did not want.”

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Answer

How to Purchase a Car

Explanation

The topic of the paper clearly relates to cars. Looking at the subheadings, the paper appears to discuss issues relevant to someone who wishes to buy a car. Such a person must take into account how the car performs in crash tests, how much gas it consumes, and how many miles it drove. They should also make sure to take it on a test drive and put the licensing and insurance in order. Therefore, answer (A) is most likely the heading of the paper.

Answer (B) is incorrect because while one could argue that some of the subheadings might be of great value to a racecar driver as well (e.g. car crash results), there is no indication that the paper is directed at this specific audience. For such an audience, you would expect to read more about speed performance and the like. Answer (C) is incorrect because none of the subheadings deals with issues related to fixing a car. Answer (D) is incorrect because although many of the subheadings could be of interest to an insurer, like insurance and car crash results, most of the subheadings are irrelevant to a person looking to BECOME an insurance agent.

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Answer 

To emphasize the deadline

Explanation

Review the options: Answer (A): A title would have been placed at the beginning of the message and would most likely have presented the main subject of the message, BA student tutoring.

Answer (B): There is no timeline in the letter, only a specific date.

Answer (C): Since a deadline is an important date for the recipient to bear in mind, it is logical that it be emphasized. In this case, it was done by means of an underline. Therefore, this is the correct answer.

Answer (D): This statement is incorrect and, therefore, you can eliminate it.

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Answer

Unfortunately, children often struggle to adjust to these changes to their schedule, especially where sleep and waking times are concerned. 

Explanation

The answer is correct because the statement is an opinion, as not all children are likely to struggle and this cannot be proven. 

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Answer

Enjoying the dinner party.

Explanation

Enjoying the dinner party.

This answer is correct.  Although listed first in the paragraph, this is the last step in having a dinner party. One clue is the use of the word “ultimately” when describing this step. 

Choosing the decor.

This answer is incorrect, as this step must be taken before enjoying the dinner party. 

Creating a guest list.

This answer is incorrect, as this is one of the first steps, as stated directly in the passage. 

Making a list of food allergies. 

This answer is incorrect, as this is one of the first steps, as stated directly in the passage.

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Answer 

$150.35

Explanation

Step 1: Interpret the Problem
In this problem we are given a monetary value that incurs a fee percentage and a tip percentage, to find a final cost amount.
We will do this in two parts. First, we will determine the fee percentage amount and add that to the initial monetary value. When calculating a percentage amount, we multiply the percentage by the given total.
Fee Percentage x Initial Total = Fee Percentage Amount
Step 2: Convert the fee percent to a decimal
We do not use actual percentages when solving math problems so we have to change 7% into a decimal.
In order to change a percent into a decimal, we divide the percent by 100, which is the same as moving the decimal two spots to the left. Since there is no decimal in 7, we assume it is to the right of the ones place, so:
7% = 7. %
Now we can slide the decimal point two spaces left. Note, there will be an empty space between the decimal and the 7 which is filled by a 0.
7.% → 0.07
7% as a decimal is 0.07
Step 3: Determine the fee percentage amount and find the first total
Now that our percent has been turned into a decimal we can multiply:
0.07 × 122.19 = 8.5533
*Note: We will not be rounding here, we round at the end of the problem.
To determine our first total, we add the percentage fee amount to our initial amount.
122.19 8.5533 = 130.7433
Step 4: Convert the tip percent to a decimal
We do not use actual percentages when solving math problems so we have to change 15% into a decimal.
In order to change a percent into a decimal, we divide the percent by 100, which is the same as moving the decimal two spots to the left. Since there is no decimal in 15, we assume it is to the right of the ones place, so:
15% = 15. %
Now we can slide the decimal point two spaces left.
15.% → 0.15
15% as a decimal is 0.15.
Step 5: Determine the tip percentage amount and find the final total
Remember that we are finding the tip based on the bill after the service fee, so we will use the total amount calculated in step 3 here.
Now that our percent has been turned into a decimal we can multiply it with our first total:
0.15 × 130.7433 = 19.611495
*Note: We will not be rounding here, we round at the end of the problem.
To determine our final total, we add the tip percentage amount to our first total.
130.7433 19.611495 = 150.354795
When a math problem has a final answer that represents a monetary quantity, the final answer must be rounded to the nearest hundredth, unless otherwise directed.
150.354795 = $150.35
The final total of Oscar’s order was $150.35.

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Answer 

 x = 2 and y = 3

Explanation

Step 1: Manipulate the Equations so that a term can cancel out
When we have a system of equations in which both equations are written in the form ax by = c, we can solve the system using the method called ELIMINATION.

To use elimination we need to make sure that one of the pairs of variables cancels up to zero. Looking at the system we notice that the two x terms are 2x and 4x and the two y-terms are 5y and 3y. Neither of the pairs cancels up to zero so there is some work to do.

We need to decide what to multiply the equations by so that we can make one pair cancel up to zero. If we look at the x-terms we can multiply 2x by -2 and it will become -4x which if added to the other term, 4x, will cancel up to zero. This means that we will multiply all terms in the top equation by -2:

-2 × (2x 5y) = (19) × -2
-4x – 10y = -38

So our system becomes,

-4x – 10y = -38
4x 3y = 17

Step 2: Add the Equations and solve
Once we have one pair of the variable terms cancel up to zero we can add the equations to each other. We add x-term to x-term and y-term to y-term vertically.

-4x – 10y = -38
4x 3y = 17
0x – 7y = -21

So our x-terms zero out (cancel out) giving us an equation that only has y so we can solve for y.

-7y = -21

Since -7 is being multiplied by x, we have to undo the multiplication by using division. Therefore we are going to divide both sides by -7.

(-7y/-7) = (-21/-7)

This simplifies to:

1y = 3

Since 1y and y are the same thing, our answer is:

y = 3

Step 3: Find the value of the other term
Now that we have the value of the y-term we can substitute it into either of the original equations to find the value of the x-term.

2x 5y = 19
2x 5(3) = 19
2x 15 = 19
2x 15 – 15 = 19 – 15
2x = 4

Since 2 is being multiplied by x, we have to undo the multiplication by using division. Therefore we are going to divide both sides by 2.

(2x/2) = (4/2)

This simplifies to:

1x = 2

Since 1x and x are the same thing, our answer is:

x = 2

So for this system, our solution is x = 2 and y = 3.

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Answer

3x – 10

Explanation

Step 1: Translate Given Information into Algebra Expression
For this question, we are looking to write an expression to represent a certain total. The starting amount will be an unknown amount and every other amount will be written in terms of the initial amount.
In the given prompt, we know that Orlando drove an unknown number of miles during his first week, so the number of miles he drove that week will be assigned a variable (x).
Number of miles driven first week → x
We are also given that Orlando drove fifteen more miles in his second week in comparison to the number he drove the first week. This means,
Number of miles driven second week → x 15
Finally, we are told that he drove twenty-five fewer miles in his third week when compared to the first week. Since he drove fewer miles, this means we will be subtracting 25 miles from the amount he drove the first week which is represented by x.
Number of miles driven third week → x – 25

Step 2: Determine Total
Now that we have all individual expressions, we can find the final sum.
We are asked to write an expression that represents the total number of miles that Orlando drove in the 3-week road trip. To find the total, we need to find the expression that adds all expressions and simplify.
x x 15 x – 25
We can now rearrange the expression to group like terms together. Remember to include the sign IN FRONT of a term.
x x 15 x – 25
Now becomes:
x x x 15 – 25
The expression becomes::
3x – 10

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Answer

49y 168x

Explanation

First, work out the total for one day. There are x cows, each needing 24 pounds of food. That is 24x pounds of food. Writing letters and numbers together means they are multiplied together. There are y pigs, each needing 7 pounds of food. That is 7y pounds of food. The total per day is 24x 7y pounds of food. Over the course of a week, this would be multiplied by 7 to give 7(24x 7y) = 168x 49y.

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Answer

The median would stay the same and the mean would increase.

Explanation

Initially, the median of these numbers is 27, as there are two middle numbers of 27.

The range is 36 – 6 = 30.

The mean is:{6 23 25 27 27 29 31 36}/{8}=25.5 In this set of numbers, the outlier is 6. It is much smaller than the rest of the numbers, which are in the 20s and 30s. If you were to remove this number, you would be left with seven numbers:23, 25, 27, 27, 29, 31, 36. As 27 is the middle number, it is still the median. Thus, the median has stayed the same. The range is now 36 – 23 = 13. Thus, it has decreased. This makes sense as there is now less of a difference between the smallest and the largest number. The mean is now:{23 25 27 27 29 31 36}/{7} = 28.3 Thus, the mean has increased. This is because there are fewer small numbers. The 6 pulled the original mean down and has now been removed.

Therefore, the median has stayed the same and the mean has increased, so the correct answer is (D).

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Answer 

Replace compliment with complement

Explanation

“Replace compliment with complement” is the correct answer. This is correct because to compliment is to praise, while to complement is to add or enhance. (Spelling hint: a “complement” “completes”)

“Change suggestions to sugestions.” This is incorrect because the syllables are: sug gest ions.

“Change recommendations to recomendations.” This is incorrect because the syllables are: re com mend a tions.

“Change administrators to administraters.” This is incorrect because the ending is pronounced ors not ers

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Answer 

 Replace we’re with were 

Explanation

“Replace we’re with were” is the correct answer. This is correct because we’re is a contraction of we and are, while were is a verb.

“Replace relieved with releived.” This is incorrect because of the I before E rule.

“Replace exhausted with exausted.” This is incorrect because the h in exhausted is silent.

“Replace firefighters with firefighter’s.” This is incorrect because firefighters is a plural noun, whereas firefighter’s is a possessive noun.

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Answer

Fishing for Families 

Explanation

The basic rule of capitalization is to capitalize nouns, pronouns, adjectives, verbs, adverbs, and subordinate conjunctions. Articles such as “a,” “an,” and “the” are lowercase unless they are found in the first or last word of the title.

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Answer

a house

Explanation

The original sentence is incorrect because the verb “buying” requires an object. What is harder than finding the love of your life today is buying a house. Said house appears in the sentence, but it is misplaced, implying that you intend to find the love of your life a house. The sentence should read: “Some say that buying a house today is harder than finding the love of your life.”

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Answer 

however

Explanation

The two parts of the sentence are meant to contrast with each other, and only answer (C) expresses contrast.The sentence should read “It is very rare to see green turtles off the coast of California; however, during the summer they can be found among the rocks.”

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Answer

Proximal convoluted tubule

Explanation

Glucose, amino acids, and the majority of electrolytes and water are reabsorbed in the proximal convoluted tubules via facilitated diffusion and active transport.

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Answer

Gas: no definite volume and no definite shape

Explanation

A gas is a substance with no definite volume and no definite shape. Solids and liquids have volumes that do not change easily.

A solid has a definite shape and volume. There are two kinds of solids—crystalline and amorphous.

Liquids can occupy whatever shape their container has, so they do not have a fixed shape. Because the particles in liquids are very close together (barely further apart than in solids) liquids do not easily compress, so their volume is fixed.

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Answer

CH4 4Cl2 → CCl4 4HCl

Explanation

To balance equations, it is helpful to write down the number of atoms of each element present in both the reactants and products. Change the coefficients of the reactants and products until the same number of atoms of each element is present on both sides of the reaction arrow.

CH4 Cl2 → CCl4 HCl

C: 1     C: 1
H: 4     H: 1
Cl: 2    Cl: 5

CH4 Cl2 → CCl4 4 HCl
C: 1    C: 1
H: 4    H: 4
Cl: 2   Cl: 8

CH4 4 Cl2 → CCl4 4 HCl
C: 1    C: 1
H: 4    H: 4
Cl: 8   Cl: 8

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Answer

Viruses will have either DNA and RNA as their genetic material, but not both.

Explanation

Viruses are unique in that they are not considered to be living things. This is because although they have genetic material, they do not have any of the cellular machinery to reproduce on their own.

Viruses can carry either DNA or RNA. They do not have both.

Viruses invade living cells and use that cell’s machinery to replicate their genetic material and create proteins. This is how viruses cause diseases like the flu, measles, and HIV.

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Answer

Organ system

Explanation

Tissues are a collection of specialized cells that perform specific functions (e.g. protection, support, nerve conduction and movement).

A group of tissues that has a specialized function is referred to as an organ.

A group of organs that work together to perform several related functions is an organ system.

Below is a model representing the hierarchy of the structure of the human body:

Organism

Organ System

Organs

Tissues

Cells

Cell Organelles

Molecules

Atoms

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