ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in². Which of the following is the length of the rectangle?
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8 in
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28 in
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36 in
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128 in
Explanation
Explanation:
The area of a rectangle is calculated using the formula:
Area = Length × Width.
We are given that the area is 32 in² and the width is 4 in.
To find the length, divide the area by the width:
Length = 32 ÷ 4 = 8 in.
Thus, the length of the rectangle is 8 inches.
Correct Answer:
8 in
The table shows the frequency of grades on a quiz. Which of the following numbers is the median quiz grade?
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95
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100
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90
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80
Explanation
Explanation:
To find the median, first determine the total number of students: 3 + 8 + 10 + 19 + 30 = 70 students. The median is the average of the 35th and 36th scores when all are arranged in order.
Cumulative frequencies:
• Up to 60 → 3 students
• Up to 70 → 11 students
• Up to 80 → 21 students
• Up to 90 → 40 students
• Up to 100 → 70 students
The 35th and 36th scores fall within the group of students who scored 90 (since the 22nd–40th scores are in that range). Therefore, the median quiz grade is 90.
Correct Answer:
90
The data below represents students' test scores. Which of the following is the median of the set of data?
11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13
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12
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14
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15.8
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15
Explanation
Correct Answer: B. 14
Explanation:
To find the median, we need to follow these steps:
Sort the data in ascending order:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
Find the middle number:
The data set has 11 numbers, so the middle one is the 6th number when ordered.
The 6th number in the sorted list is 14.
Therefore, the median is 14, and the correct answer is B. 14.
Why the Other Options Are Incorrect:
A. 12
This is incorrect because 12 is not the middle value in the sorted data.
C. 15.8
This is incorrect because the median is an exact value from the data set, not a decimal number.
D. 15
This is incorrect because the median value from the ordered set is 14, not 15.
If x represents the width of a rectangle and the length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
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2x−6
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6−2x
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6x−2
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3x−4
Explanation
Explanation:
The phrase "six less than two times the width" means we start with twice the width 2x and then subtract 6. The phrase “less than” indicates subtraction, but the order is reversed from how it is spoken. Therefore, the correct expression for the length is 2x - 6.
Correct Answer:
2x−6
4 + 3 × 2 – 5
Simplify the above formula using the order of operations. What is the right response from the list below?
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9
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5
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-5
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-21
Explanation
Explanation:
According to the order of operations (PEMDAS/BODMAS), multiplication is performed before addition and subtraction. First, calculate 3 × 2 = 6. The expression then becomes 4 + 6 – 5. Next, perform the operations from left to right: 4 + 6 = 10, and 10 – 5 = 5. Therefore, the simplified value of the expression is 5.
Correct Answer:
5
What is the area of a square that measures 3.1 m on each side?
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12.4 m²
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9.61 m²
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6.2 m²
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9.1 m²
Explanation
Explanation:
The formula for the area of a square is side × side (or side²).
Here, the side length is 3.1 m.
So, 3.1 × 3.1 = 9.61 m².
Therefore, the area of the square is 9.61 square meters.
Correct Answer:
9.61 m²
A large hospital is buying bedding that costs $160 for each unit. Bedding is currently discounted 10%, and shipping is $25 per order. Which of the following is an equation for the total cost T of buying X units of bedding?
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T = (0.1)160X + 25
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T = (-0.1)160X + 25
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T = (0.9)160X + 25
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T = (0.9)160X + 25X
Explanation
Explanation:
The bedding costs $160 per unit, but there is a 10% discount. A 10% discount means the hospital pays 90% of the original price per unit, which is 0.9 × 160 = $144 per unit. The total cost for X units is therefore (0.9)(160X). Since there is also a $25 flat shipping fee per order (not per unit), we add $25 to the total. The correct equation for the total cost is T = (0.9)160X + 25.
Correct Answer:
T = (0.9)160X + 25
Which of the following is the value of x in the equation below?
2x + 17 + 4x = 89
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x = 12
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x = 18
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x = 6
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x = 9
Explanation
Correct Answer:
x = 12
Explanation:
First, simplify the left-hand side of the equation:
2x + 17 + 4x = 89
Combine like terms:
(2x + 4x) + 17 = 89
6x + 17 = 89
Next, isolate the variable x:
Subtract 17 from both sides:
6x = 72
Now divide both sides by 6:
x = 72 ÷ 6 = 12
Why Other Options Are Wrong:
x = 18
Plugging 18 into the equation: 2(18) + 17 + 4(18) = 36 + 17 + 72 = 125 ≠ 89. Too high.
x = 6
Using x = 6: 2(6) + 17 + 4(6) = 12 + 17 + 24 = 53. Too low.
x = 9
With x = 9: 2(9) + 17 + 4(9) = 18 + 17 + 36 = 71. Also too low.
A worker’s weekly salary is $250. If 15% is deducted for retirement benefits and taxes, which of the following amounts is their take-home pay?
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$235
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$212.50
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$37.50
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$175
Explanation
Correct Answer:
$212.50
Explanation:
To find the take-home pay, first calculate 15% of $250:
15% of $250 = 0.15 × 250 = $37.50
Now subtract that from the original salary:
$250 − $37.50 = $212.50
Why Other Options Are Wrong:
$235
This would be the result of subtracting only 6% (about $15), which underestimates the actual 15% deduction.
$37.50
This is the amount deducted, not the take-home pay. It’s part of the calculation, not the final answer.
$175
This reflects a 30% deduction (75% take-home), which is too high for the 15% deduction described in the question.
Which of the following is 31% of 426?
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13.7
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132.06
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0.07
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425.69
Explanation
Correct Answer:
132.06
Explanation:
To find 31% of 426, multiply:
426 × 0.31=132.06
This is a direct percentage calculation: converting 31% to a decimal gives 0.31, and multiplying by 426 gives the answer.
Why Other Options Are Wrong:
13.7
This is far too low. It’s approximately 3.2% of 426, not 31%.
0.07
This value is drastically too low and not a realistic result for any significant percentage of 426. It represents about 0.016%.
425.69
This is almost the entire value of 426. It would represent approximately 99.9%, not 31%.
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