ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
A farmers' market sells 80 pounds of bananas for $23.20. Which of the following is the cost of 5 pounds of bananas?
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$1.16
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$1.45
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$4.64
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$17.24
Explanation
Correct Answer:
$1.45
Explanation:
To find the cost of 5 pounds of bananas, first determine the unit price per pound by dividing $23.20 by 80. That gives $0.29 per pound. Then multiply $0.29 by 5 to get the cost for 5 pounds. 0.29×5=1.450.29 \times 5 = 1.450.29×5=1.45. Therefore, 5 pounds of bananas cost $1.45.
Why Other Options Are Wrong:
$1.16
This is too low to be correct. It suggests a price of about $0.23 per pound, which does not match the given total of $23.20 for 80 pounds. This answer may result from an incorrect division or misplacement of the decimal when calculating. It underestimates the correct unit price.
$4.64
This is too high for 5 pounds. It implies a unit price of approximately $0.93 per pound, which is much higher than the actual $0.29 per pound. This answer may come from using incorrect proportions or accidentally using the price for a higher weight. It overestimates the value.
$17.24
This option is significantly too high and suggests a unit price of over $3.44 per pound. This doesn’t match the original pricing data of 80 pounds for $23.20. It is possible this value was chosen by mistakenly reversing the ratio or confusing the total price for a much smaller quantity.
Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yogurt in their dessert
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6 oz
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5.5 oz
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3 oz
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3.5 oz
Explanation
Correct Answer A. 6 oz
Explanation of Correct Answer:
The given ratio of yogurt to toppings is 4:3, which means for every 4 parts yogurt, there are 3 parts toppings.
Let’s set up a proportion using this ratio:
yogurttoppings=4/3
We’re told the toppings weigh 4.5 oz, so we substitute:
x/4.5=4/3
Now solve for x (amount of yogurt):
Cross-multiply:
3x = 4 × 4.5 = 18
x = 18 ÷ 3 = 6
Why the Other Options Are Incorrect:
B. 5.5 oz
5.5 oz would result in a different ratio — not 4:3. If you plug it into the proportion, it doesn’t balance.
C. 3 oz
3 oz of yogurt for 4.5 oz of toppings reverses the ratio, suggesting more toppings than yogurt, which contradicts the 4:3 ratio.
D. 3.5 oz
3.5 oz is far below the required 6 oz. It would create a ratio closer to 7:9, which is not equivalent to 4:3.
Which of the following is 3/8 divided by 5/8?
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10/9
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9/10
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3/5
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5/12
Explanation
Explanation:
To divide fractions, multiply the first fraction by the reciprocal of the second.
So, (3/8) ÷ (5/8) = (3/8) × (8/5).
The 8s cancel out, leaving 3/5.
Correct Answer:
3/5
According to the equation below, what is the value of x?
2x + 17 + 4x = 89
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x = 18
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x = 12
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x = 9
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x = 6
Explanation
Explanation:
Combine like terms on the left side: 2x + 4x = 6x. The equation becomes 6x + 17 = 89. Subtract 17 from both sides to isolate the variable term: 6x = 72. Divide both sides by 6 to solve for x: x = 12.
Correct Answer:
x = 12
The quantity of a patient’s prescribed medication is directly proportional to their weight. If the patient’s weight increases, how will the quantity of the medication be affected?
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It will double.
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It will decrease.
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It will remain the same.
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It will increase.
Explanation
Correct Answer:
It will increase.
Explanation:
When a value is directly proportional to another, it changes in the same direction and at the same rate. In this case, if the patient’s weight increases, the dosage of medication also increases in order to maintain the correct proportion. The relationship is not fixed but variable, meaning dosage depends on weight. This ensures that the patient receives the correct therapeutic effect.
Why Other Options Are Wrong:
It will double.
This is incorrect because the medication does not automatically double unless the weight itself doubles. Direct proportionality means the increase is relative, not always exactly double.
It will decrease.
This is the opposite of what happens in a directly proportional relationship. If the weight goes up, the medication dosage does not go down; instead, it increases.
It will remain the same.
This is wrong because if the weight changes, the dose must also change to keep the proportionality. A constant dosage would not account for the increased body weight.
There are six yellow balls, four red balls, and three green balls in a bag. Which of the following describes the likelihood that a single ball drawn at random from the bag will be yellow?
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10/13
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4/13
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3/13
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6/13
Explanation
Explanation
First, find the total number of balls: 3 + 4 + 6 = 13. The number of yellow balls is 6. The probability of selecting a yellow ball is the number of yellow balls divided by the total number of balls: P(yellow) = 6/13. Correct Answer
6/13
Solve the following equation for x.
6x – 5 = 10x + 15
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x = ⅕
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x = 5
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x = - 5
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x = -⅕
Explanation
Explanation:
To solve for x, start by isolating the variable on one side. Subtract 10x from both sides: 6x - 10x - 5 = 15, which simplifies to -4x - 5 = 15. Next, add 5 to both sides: -4x = 20. Finally, divide both sides by -4: x = 20 / -4 = -5. Therefore, the solution to the equation is x = -5.
Correct Answer:
x = - 5
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 bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, which of the following is the probability that the ball is red
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1/4
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1/2
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1/3
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5/12
Explanation
Correct Answer C. 1/3
Explanation:
There are 12 total balls in the bag (5 green + 4 red + 3 yellow = 12).
The probability of randomly selecting a red ball is the number of red balls divided by the total number of balls:
4 ÷ 12 = 1/3
Why the Other Options Are Incorrect:
A. 1/4
1/4 equals 3/12, which is less than the correct probability of 4/12. This would be true if there were only 3 red balls out of 12.
B. 1/2
1/2 equals 6/12, which would suggest there are 6 red balls out of 12, which is not the case here since there are only 4.
D. 5/12
5/12 would suggest there are 5 red balls out of 12 total, but only 4 red balls are present in the bag.
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.
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