ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
Four hundred milligrams is equal to how many grams?
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4 g
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0.4 g
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400,000 g
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0.00004 g
Explanation
Explanation:
There are 1,000 milligrams (mg) in one gram (g). To convert milligrams to grams, divide the number of milligrams by 1,000. So, 400 mg ÷ 1,000 = 0.4 g. This means 400 milligrams is equal to 0.4 grams.
Correct Answer:
0.4 g
A rectangular garden has a length of 15 meters (m) and a width of 9 meters. There is a walking path that cuts diagonally across the garden from one corner to the opposite corner. Which of the following is the length of the walking path in meters? (If necessary, round to the nearest meter.)
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17 m
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24 m
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18 m
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12 m
Explanation
Explanation
The diagonal of a rectangle can be found using the Pythagorean theorem. Let the length of the diagonal be ddd. Then:
d2 = length2 + width2
Substitute the given values:
d2 = 152 + 92 = 225 + 81 = 306
d =
Rounding to the nearest meter gives 17 meters
Correct answer
17 m
Given a right triangle with a hypotenuse of 14 feet and one leg of 6 feet, what is the length of the unknown leg? (To the closest tenth, round.)
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15 feet
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12.6 feet
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18.3 feet
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9.2 feet
Explanation
Explanation
Use the Pythagorean theorem: a2 + b2 = c2 .
Let the unknown leg be b:
62 + b2 = 142
36 + b2 = 196
b2 = 160
b = ≈ 12.6. Thus, the length of the unknown leg is approximately 12.6 feet.
Correct Answer
12.6 feet
Which of the following conditions would typically increase the rate of a chemical reaction?
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Decreasing the surface area of a solid reactant
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Increasing the temperature
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Increasing the activation energy
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Lowering the concentration of reactants
Explanation
Correct Answer:
Increasing the temperature
Explanation:
Raising the temperature increases the kinetic energy of particles, making them move faster and collide more frequently with greater energy. These more energetic collisions increase the likelihood that particles will overcome the activation energy barrier, resulting in more successful reactions per unit time. As a result, the rate of the chemical reaction increases. This is a fundamental concept in collision theory, which explains how chemical reactions occur and why reaction rates change.
Why Other Options Are Wrong:
Decreasing the surface area of a solid reactant
Reducing the surface area limits the amount of reactant exposed for interaction, resulting in fewer collisions between reactant particles. This slows down the rate of the reaction. To increase the rate, the surface area would need to be increased, not decreased.
Increasing the activation energy
Higher activation energy makes it more difficult for reactants to reach the transition state necessary for the reaction to occur. This reduces the number of effective collisions and slows the reaction rate. Increasing activation energy is counterproductive to speeding up a reaction.
Lowering the concentration of reactants
Decreasing concentration means there are fewer reactant particles in a given volume, leading to fewer collisions and a slower reaction rate. Higher concentration generally increases the rate by raising the frequency of collisions between particles.
Which of the following is the correct decimal placement for the product of 1.3 × 0.47?
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0.611
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0.0611
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0.00611
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6.11
Explanation
Correct Answer:
0.611
Explanation:
To determine the correct decimal placement in the product of 1.3 × 0.47, you can first ignore the decimals and multiply 13 by 47, which gives 611. Then count the total number of decimal places in the original numbers. The number 1.3 has 1 decimal place, and 0.47 has 2 decimal places, totaling 3 decimal places. So, you must place the decimal three places from the right in the product 611, resulting in 0.611. This confirms that 1.3 × 0.47 = 0.611.
Why Other Options Are Wrong:
0.0611
This answer incorrectly places the decimal four places from the right instead of three. The total number of decimal places from the original numbers is only three. Placing the decimal too far left makes the product much smaller than the actual value. This would only be valid if we had multiplied 0.13 × 0.047, which is not the case.
0.00611
This is incorrect because it places the decimal five places from the right, drastically underestimating the product. There is no justification for such placement, as the original numbers only have a total of three decimal places. This mistake likely comes from miscounting the number of digits or misapplying decimal rules.
6.11
This answer moves the decimal too far to the left, treating the product as much larger than it really is. Multiplying 1.3 by a number less than 1 (0.47) should result in a value smaller than 1.3. Since 6.11 is much greater than both factors, it can't be a correct result of their product.
The table lists statistics from a quarterback's first four games of the season. In which of the following weeks does the quarterback have the highest average yards per completion?
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Week 2
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Week 1
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Week 4
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Week 3
Explanation
Explanation
To find the week with the highest average yards per completion, divide the total yards by the number of completions for each week.
Week 1: 313 yards ÷ 22 completions = 14.2 yards per completion
Week 2: 304 yards ÷ 28 completions = 10.9 yards per completion
Week 3: 314 yards ÷ 24 completions = 13.1 yards per completion
Week 4: 256 yards ÷ 18 completions = 14.2 yards per completion
Weeks 1 and 4 have the highest yards per completion, but since the question asks for the week with the highest average, we select Week 1 because the yards per completion value is higher than Week 4 (14.2 vs 14.2). Thus, the correct answer is Week 1.
Correct answer
B. Week 1
A bucket can hold 2500 mL. How many L can the bucket hold?
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0.25 mL
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25 mL
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2.5 L
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250 L
Explanation
Explanation:
To convert milliliters (mL) to liters (L), divide the number of milliliters by 1000 because 1 liter equals 1000 milliliters. Therefore, 2500 mL ÷ 1000 = 2.5 L. This means the bucket can hold 2.5 liters of liquid in total.
Correct Answer:
2.5 L
Which of the following is the best approximation of (15) times the positive square root of (33)?
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78.5
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44.7
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156.2
-
86.2
Explanation
Explanation
First, find the approximate value of Since ≈5.744, multiply it by 15: 15 × 5.744 = 86.16 Rounded to one decimal place, this is approximately 86.2.
Correct Answer
86.2
The table above represents the eye color of each student in a class.
Which of the following is the percent of students who have green eyes? (Round to the nearest percent.)
| Male | Female | |
|---|---|---|
| Green | 5 | 3 |
| Blue | 16 | 19 |
| Brown | 27 | 18 |
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10%
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8%
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9%
-
11%
Explanation
Correct Answer:
9%
Explanation:
To find the percentage of students with green eyes, first calculate the total number of students:
5 (Green, Male) + 3 (Green, Female) + 16 + 19 + 27 + 18 = 88 students total.
There are 8 students with green eyes.
Now calculate the percentage: (8 ÷ 88) × 100 = 9.09%, which rounds to 9%.
So, 9% of the students have green eyes.
Why Other Options Are Wrong:
10%
This would mean about 8.8 students have green eyes out of 88, which is more than the actual count of 8. It's a slight overestimation and does not match the exact rounded percentage.
8%
This is too low. 8% of 88 students is about 7.04, which underrepresents the number of students with green eyes. There are actually 8, so this option is inaccurate.
11%
11% of 88 is about 9.68 students, which exceeds the actual number of green-eyed students (8). Therefore, this overestimates the percentage and is incorrect.
An employee's number of hours worked and their total earnings has a proportional relationship that can be graphed as a straight line. If the point (7, 157.5) lies on the line of this relationship, which of the following information describes the employee's earnings?
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Manaf has worked for 22.5 hours.
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Manaf earns $7.00 per hour for 157.5 hours.
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Manaf earns $157.50 per hour for 7 hours.
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Manaf earns $22.50 per hour.
Explanation
Correct Answer: D. Manaf earns $22.50 per hour.
Explanation:
The point (7, 157.5) means that after working for 7 hours, the employee earns $157.5. To find the hourly rate, divide the total earnings by the number of hours worked:
157.5 ÷ 7 = 22.5
So, the employee earns $22.50 per hour.
Why the Other Options Are Incorrect:
A. Manaf has worked for 22.5 hours.
This is incorrect because the point (7, 157.5) indicates that Manaf worked for 7 hours, not 22.5.
B. Manaf earns $7.00 per hour for 157.5 hours.
This is incorrect because the hourly rate is $22.50, not $7.00, and the total hours worked in the point (7, 157.5) is 7 hours, not 157.5.
C. Manaf earns $157.50 per hour for 7 hours.
This is incorrect because the earnings of $157.50 are for 7 hours of work, not for 1 hour of work. The hourly rate is $22.50, not $157.50.
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