ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
A consumer makes a $400 down payment on a TV that costs $1,579. Which of the following is the number of months it will take to pay off the television with a monthly payment of $100? (Assume that no interest is owed.)
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11
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15
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16
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12
Explanation
Explanation:
First, subtract the down payment from the total cost to find the remaining balance: 1,579 − 400 = 1,179. The consumer pays $100 each month, so the number of months required is 1,179 ÷ 100 = 11.79 months. Since payment must be made in full months, the consumer will need approximately 12 months to pay off the remaining balance.
Correct Answer:
12
When designing an experiment to test the effectiveness of a new drug, which of the following is an appropriate control group?
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A group receiving an alternative existing drug
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A group receiving a higher dose of the new drug
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A group receiving a placebo with no active drug
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A group receiving a lower dose of the new drug
Explanation
Correct Answer:
A group receiving a placebo with no active drug
Explanation:
A control group in a clinical trial is used to establish a baseline for comparison to determine the actual effects of the new drug. The most appropriate control group is one that receives a placebo, which is an inactive substance designed to mimic the new drug without any therapeutic effect. This allows researchers to determine whether the observed outcomes in the treatment group are due to the drug itself or other factors such as psychological expectations. By comparing the results between the placebo group and the drug group, the true efficacy of the new drug can be accurately assessed.
Why Other Options Are Wrong:
A group receiving an alternative existing drug
This group could serve as a comparison group in some studies but not as a control group in the strictest sense. Comparing a new drug to an existing one can test for relative effectiveness, but it doesn't isolate the effect of receiving a treatment versus no treatment at all. This method lacks the neutral baseline that a placebo provides. Therefore, it doesn’t fulfill the purpose of a proper control group.
A group receiving a higher dose of the new drug
This is still part of the experimental treatment group and not a control group. Comparing different dosages may help in understanding dose-response relationships but does not help in determining whether the drug itself is effective. It assumes the drug has an effect and looks for optimal dosage. This does not allow for distinguishing drug effect from natural recovery or placebo effect.
A group receiving a lower dose of the new drug
Similar to the higher dose group, this is still receiving the active drug and cannot serve as a neutral comparison. It evaluates the effect of less medication rather than no medication. Like the higher dose group, it is still part of the experimental design and lacks the neutral condition needed to evaluate the drug’s basic effectiveness. Thus, it is not a proper control group.
Using the table below, which of the following statements describes the relationship between days and dollars?
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There is a positive correlation between days and dollars
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There is a negative correlation between days and dollars
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There is an inverse correlation between days and dollars
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There is no correlation between days and dollars
Explanation
Explanation:
A positive correlation means that as one variable increases, the other tends to increase as well. From the table, as the number of days increases from 2 to 19, the number of dollars generally increases too—from 8 up to 16, despite some fluctuations. This shows a general upward trend, meaning the two variables move in the same direction. Therefore, the data demonstrates a positive correlation between days and dollars.
Correct Answer:
There is a positive correlation between days and dollars
If the trend below continues, which of the following is the best estimate of the average price of a home in 2016?
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$155,000
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$120,000
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$125,000
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$140,000
Explanation
Explanation:
From the graph, the average home price has been gradually increasing over the years. Around 1984, it was about $90,000, dropped slightly by 1988, then steadily rose to about $130,000 by 2012. Since the data shows a slow but consistent upward trend, extending the pattern to 2016 suggests a modest increase beyond 2012’s value. Therefore, the best estimate for the 2016 home price would be approximately $140,000, following the linear growth seen in the previous years.
Correct Answer:
$140,000
How many yards are in 27 feet?
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3 yards
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18 yards
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6 yards
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9 yards
Explanation
Explanation:
To convert feet to yards, divide the number of feet by 3 since 1 yard equals 3 feet. Therefore, 27 ÷ 3 = 9. This means there are 9 yards in 27 feet.
Correct Answer:
9 yards
Which of the following microscopes would be best suited for observing the surface structures of a virus particle?
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Fluorescence microscope
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Stereoscopic microscope
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Scanning electron microscope
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Compound light microscope
Explanation
Correct Answer:
Scanning electron microscope
Explanation:
A scanning electron microscope (SEM) is best suited for observing the surface structures of very small specimens, such as virus particles. It produces high-resolution, three-dimensional images by scanning the surface with a focused beam of electrons. Because virus particles are smaller than the wavelength of visible light, traditional light-based microscopes cannot resolve their surface details clearly. SEM provides the necessary magnification and detail needed to examine the external features of these microscopic entities.
Why Other Options Are Wrong:
Fluorescence microscope
This microscope uses fluorescent dyes to highlight specific components within a specimen and is typically used for viewing structures inside cells or tissues. While it offers good contrast and can detect specific proteins or organelles, it is not optimal for detailed surface imaging of virus particles.
Stereoscopic microscope
Also known as a dissecting microscope, this is designed for viewing larger, three-dimensional specimens at relatively low magnification. It is ideal for examining the surface of objects like insects or plant parts, but lacks the resolution to see virus particles or their fine surface details.
Compound light microscope
This is a basic microscope used in many laboratories for viewing cells and tissues. However, its resolving power is limited by the wavelength of visible light and cannot effectively image particles as small as viruses, especially at the detailed surface level.
A math teacher obtained the following scores from a class of 45 students. Which of the following is the best way to display the frequency of each day of the week?
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Scatterplot
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Pie graph
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Line graph
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Histogram
Explanation
Explanation
The table provides the frequency of test scores for a class of 45 students across different score ranges, and a histogram is the best way to display this frequency data as it effectively shows the distribution of scores in intervals.
Correct Answer
Histogram
1.34, 4/3, 13/10, square root of 2
Which of the above numbers is the smallest?
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1.34
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Square root of 2
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Explanation
Correct Answer:
Explanation:
Let's convert all values to decimal form for comparison:
1.34 = 1.34
4/3 = 1.333...
13/10 = 1.3
√2 ≈ 1.414
Now compare the decimal values:
13/10 = 1.3 (smallest)
4/3 ≈ 1.333
1.34 = 1.34
√2 ≈ 1.414
Therefore, 13/10 (1.3) is the smallest of the four.
Why Other Options Are Wrong:
1.34
This is larger than 1.3 (13/10) and 4/3 (≈1.333), so it’s not the smallest.
Square root of 2
This is approximately 1.414, the largest value in the set.
4/3
This is approximately 1.333, which is still greater than 13/10 (1.3).
To determine the cost of a pizza, the pizza parlor considers the diameter of the pizza, the number of toppings, and the amount of cheese. Which of the following is the dependent variable
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Amount of cheese
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Cost of the pizza
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Number of toppings
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Diameter of the pizza
Explanation
Correct Answer B. Cost of the pizza
Explanation:
The dependent variable is the one that changes in response to other factors — in this case, the price of the pizza depends on the size (diameter), number of toppings, and amount of cheese. These three are independent variables that influence the final cost. The cost is the outcome being measured after those values are decided.
Why the Other Options Are Incorrect:
A. Amount of cheese
The amount of cheese is one of the inputs or independent variables. It contributes to determining the final price but is not itself determined by the other factors.
C. Number of toppings
The number of toppings is another independent variable selected before pricing the pizza. It affects the price but is not an outcome variable.
D. Diameter of the pizza
The diameter is also an independent variable — it’s chosen ahead of time and contributes to the cost calculation but isn’t affected by the other variables.
A class of 48 students has 22 boys and 26 girls. What is the ratio of girls to boys in the class?
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26:11
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13:11
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13:22
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11:13
Explanation
Explanation:
To find the ratio of girls to boys, compare the number of girls to the number of boys. The class has 26 girls and 22 boys, so the ratio is 26:22. Simplify this ratio by dividing both numbers by their greatest common divisor, which is 2. This gives 13:11. Therefore, the simplified ratio of girls to boys is 13:11.
Correct Answer:
13:11
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