ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
2x + 5
If x is the width of a rectangle and the expression above describes the length, which of the following phrases accurately restates the expression?
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Two times the sum of five and the width
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Two more than five times the width
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Five times the sum of two and the width
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Five more than twice the width
Explanation
Correct Answer: D. Five more than twice the width
Explanation:
The given expression is 2x + 5, where x represents the width of the rectangle.
The term 2x represents twice the width (two times the width).
The +5 represents five more.
So, the expression 2x + 5 means "five more than twice the width."
Why the Other Options Are Incorrect:
A. Two times the sum of five and the width
This would be written as 2(x + 5), which is different from the original expression.
B. Two more than five times the width
This would be written as 5x + 2, which is also different from the original expression.
C. Five times the sum of two and the width
This would be written as 5(x + 2), which again is not the same as the given expression.
Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
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1/6
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1/4
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3/4
-
3/8
Explanation
Explanation:
One friend eats 1/4 of the burger, leaving 3/4 of it remaining. This remaining portion is shared equally between the two remaining friends. To find how much each receives, divide 3/4 by 2, which is the same as multiplying 3/4 by 1/2. That gives 3/4 × 1/2 = 3/8. Therefore, each of the remaining two friends receives 3/8 of the burger.
Correct Answer:
3/8
A circle has an area of 144π in 2 . Which of the following is the circumference of the circle in terms of π?
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18π in
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6π in
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12π in
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24π in
Explanation
Explanation
The formula for the area of a circle is A =πr2 . Given A=144π, divide both sides by π: r2 = 144.
Take the square root to find r = 12.
The formula for circumference is C = 2πr.
Substitute r = 12: C = 2π(12) = 24π.
Correct Answer
24π in
At a nearby community college, 800 students are enrolled in four allied health programs. The pie chart shows the percentage of students in each program. How many students are enrolled in the dental hygiene program, according to the following?
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168
-
144
-
336
-
152
Explanation
Explanation:
The pie chart shows that 18% of the students are enrolled in the dental hygiene program. To find the number of students, calculate 18% of 800: 0.18 × 800 = 144. Therefore, 144 students are enrolled in the dental hygiene program.
Correct Answer:
144
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
-
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.
To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?
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Cost of a phone
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Brand name
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Size of the RAM
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Size of the battery
Explanation
Explanation:
In this scenario, the cost of a phone depends on factors such as the brand name, RAM size, and battery size. The dependent variable is the one being affected or predicted based on changes in other variables. Since the price changes according to the features of the phone, the cost of the phone is the dependent variable, while brand, RAM, and battery size are independent variables that influence the cost.
Correct Answer:
Cost of a phone
A researcher tested a new drug to lower blood pressure, comparing its effectiveness to that of the currently-in-use drug A. The data is presented in the following chart. Which of the following hypotheses do the results support?
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Drug B has no effect on blood pressure compared to the Placebo.
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Drug B must be administered at a higher dosage than drug A to be effective.
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The new drug is more effective at lowering blood pressure than drug A.
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The new drug has the same mechanism of action as drug A.
Explanation
Correct Answer:
The new drug is more effective at lowering blood pressure than drug A.
Explanation:
The graph shows diastolic blood pressure over time for three groups: one receiving a placebo, one receiving Drug A, and one receiving the new drug (Drug B). While both Drug A and the new drug reduce blood pressure compared to the placebo, the new drug produces a greater and more consistent drop in diastolic pressure over the four-week period. This supports the hypothesis that the new drug is more effective than Drug A in lowering blood pressure. The placebo group shows no significant change, confirming the effectiveness of both drugs but especially highlighting the new drug’s superior effect.
Why Other Options Are Wrong:
Drug B has no effect on blood pressure compared to the Placebo.
This is incorrect because the graph clearly shows that the group receiving Drug B (the new drug) experienced a significant and continuous decrease in blood pressure. In contrast, the placebo group’s diastolic blood pressure remained nearly constant. This indicates that Drug B does have a measurable effect compared to the placebo.
Drug B must be administered at a higher dosage than drug A to be effective.
There is no information provided about dosage levels, so this conclusion cannot be drawn from the data. The chart only shows the effect of each drug over time, not how the effectiveness varies with different dosages. Making assumptions about dosage without explicit data is speculative and unsupported.
The new drug has the same mechanism of action as drug A.
The mechanism of action is a biochemical or physiological process by which a drug produces its effect. The graph presents outcome data (change in blood pressure), not mechanism data. Without information on how the drugs work at the molecular or cellular level, this option cannot be supported by the chart alone.
A nurse has already poured 600 milliliters (mL) of saline into a container and needs to reach a total volume of 0.75 liters (L). The available saline packet sizes are 250 milliliters, 200 milliliters, and 150 milliliters. Which of the following packet sizes should the nurse add to achieve the exact volume?
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100 mL
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250 mL
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150 mL
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200 mL
Explanation
Correct Answer:
100 mL
Explanation:
0.75 liters equals 750 milliliters. The nurse already has 600 mL in the container. To reach 750 mL, the nurse needs an additional 750 – 600 = 150 mL. However, among the options listed, the correct available packet size that matches the requirement is 150 mL, not 100 mL. Therefore, the correct packet to use is the 150 mL option.
Why Other Options Are Wrong:
100 mL
This is not enough. Adding 100 mL to 600 mL gives only 700 mL, which falls short of the required 750 mL.
250 mL
This amount is too much. Adding 250 mL to 600 mL results in 850 mL, which exceeds the target of 750 mL.
200 mL
This is also too much. Adding 200 mL to 600 mL results in 800 mL, which overshoots the required 750 mL.
One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all of the floors, how much ammonia is needed
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20 oz
-
720 oz
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20 gallons
-
720 gallons
Explanation
Correct Answer B. 720 oz
Explanation:
If 1 gallon requires 6 oz of ammonia, then for 120 gallons you multiply:
120 × 6 = 720 oz.
So, the department needs 720 ounces of ammonia.
Why the Other Options Are Incorrect:
A. 20 oz
This would be the amount needed for approximately 3.33 gallons (20 ÷ 6 ≈ 3.33), not 120 gallons.
C. 20 gallons
The measurement should remain in ounces, not gallons, since the question asks for the amount of ammonia in ounces.
D. 720 gallons
This would mean using 720 gallons of ammonia, which is illogical since only 6 oz per gallon is needed. The correct total is 720 oz, not gallons.
The table below shows the miles driven as a function of gallons of gas used. What does the ordered pair (6,144) represent?
|
Gallons of gas |
Miles Driven |
|
2 |
48 |
|
5 |
120 |
|
8 |
192 |
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The driver can go 24 miles in 1 hour
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The driver can go 144 miles with 6 gallons of gas
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The driver can go 6 miles with 144 gallons of gas
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The driver can go 144 miles in 6 hours
Explanation
Explanation:
In the table, the first number in each ordered pair represents the gallons of gas used, and the second number represents the miles driven. Therefore, the ordered pair (6,144) means that when the driver uses 6 gallons of gas, the car can travel 144 miles. It describes the relationship between fuel consumption and distance, not time or speed.
Correct Answer:
The driver can go 144 miles with 6 gallons of gas
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