Full-Length ATI TEAS 7 Math Practice Test-Answers and Explanations

Did you take the ATI TEAS 7 Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.

ATI TEAS 7 Mathematical Reasoning Practice Test Answers and Explanations

1- Choice B is correct
\(\frac{1}{x} = \frac{\frac{1}{1} }{\frac{7}{13}} = \frac{13}{7}\)

2- Choice D is correct
Let a and b be the numbers. Then: \(a + b = x \)
\(a=-6→-6+b=x→b=x+6, 4b = 4(x+6)\)

3- Choice B is correct
Circumference (= 2πr, C=2π×7=14π,π=3.14 →C=14π=43.98≅44)

4- Choice C is correct
\((5.6+3.4+2.6+1.4)x = x-24, 13x = x-24⇒12x=-24\) Then \(x=-2\)

5- Choice B is correct
\(\frac{12}{30} = 0.4\)

6- Choice D is correct
Converting mixed numbers to fractions, our initial equation becomes
\(\frac{8}{3} × \frac{68}{9}\), Applying the fractions formula for multiplication, \(\frac{8× 68}{3 × 9} = \frac{544}{27} = 20 \frac{4}{27}\)

7- Choice A is correct
\(12÷\frac{3}{8}=32\)

8- Choice A is correct
If \(2.4< x ≤5.6\), then \(x\) cannot be equal to 2.4.

9- Choice A is correct
\(\frac{36}{52} = \frac{9}{13}\)

10- Choice B is correct
Let \(x\) be the average of numbers. Then: \(\frac{180}{12} < x < \frac{288}{12}, 15 < x < 24 \)
From the choices provided, only 20 is correct.

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11- Choice C is correct
yards \(= 12\) feet, \(\frac{(27 feet + 12 yards)}{9} = \frac{(27 feet + 144 feet) }{9} = \frac{(171 feet )}{9} = 19\) feet

12- Choice C is correct
Perimeter of a rectangle = 2(width \(+\)length), P \(=\) 108, width\(= 5×\)length
Then: 108=2(5length\(+\)length)\(→108=12\)length\(→\)length\(=9\)

13- Choice A is correct
Volume\( =\) length\( ×\) width \(×\) height, \(4500 = 60 × 15 ×\) height \(→\) height \(= 5\)

14- Choice B is correct
The distance between Chris and Joe is 16 miles. Chris is running at 4.5 miles per hour, and Joe is running at the speed of 8.5 miles per hour. Therefore, every hour, the distance is 4 miles less.
\(16 ÷ 4 =4\)

15- Choice A is correct
\(\frac{5^4}{10} = 62.5\)

16- Choice D is correct
\(5 \frac{2}{3} − 2 \frac{3}{4} = \frac{17}{3}-\frac{11}{4}=\frac{68-33}{12}=\frac{35}{12}=2 \frac{11}{12}\)

17- Choice D is correct
All angles in a triangle sum up to 180 degrees. \(33 + 52 = 85, 180 – 85 = 95\), The third angle is 95 degrees.

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18- Choice B is correct
If \(a = 14\) then: \(b = \frac{14^2}{28} + c ⇒ b =\frac{14^2}{28} + c = 7 + c\)

24- Choice D is correct
Jason spent \(34\%\) of his total time (25 hours) on History. Then: \(\frac{34}{100} × 25 = 8.5\)

25- Choice A is correct
Jason spent \(24\%\) of his time on Writing and Physics. Then: \(\frac{24}{100} × 25 =6\)

26- Choice A is correct
Plug in 100 for F in the equation: \(C = \frac{5}{9} (F – 32) = \frac{5}{9} (100 – 32) = \frac{5}{9} (68) = 37.7\)

27- Choice C is correct
\(17\%\) of \(x = 25.5, x = \frac{100 × 25.5}{17} =150\)

28- Choice A is correct
\(\frac{4}{5} x+\frac{4}{7}= \frac{8}{14} → \frac{4}{5} x = \frac{8}{14} – \frac{4}{7} → \frac{4}{5} x = \frac{8-8}{14} → \frac{4}{5} x = \frac{0}{14}, x =0\)

29- Choice B is correct
\(\frac{1}{16}=0.0625→C=5\)
\(\frac{1}{25}=0.04→D=4→C×D=5×4=20\)

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30- Choice D is correct
To find the discount, multiply the number by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: ((D) (100%, 12%) = (D) (0.88) = 0.88 D )
For increase of \(15 \%: (0.88 D) (100\% + 15\%) = (0.84 D) (1.15) = 0.966 D = 96.6\%\) of D or 0.966D

31- Choice C is correct
Let \(x\) be the number. Then: \(6x+8=44\)
Solve for \(x: 6x+8=44→6x=44-8=36→x=36÷6=6\)

32- Choice A is correct
Use simple interest formula: I=prt (I = interest, p = principal, r = rate, t = time)
I\(=(14000)(0.038)(3)=1596\)

33- Choice D is correct
\(\frac{1}{5} + \frac{3}{4} + \frac{1}{3} =\frac{12+45+20}{60} = \frac{77}{60} = 1.283\)

34- Choice C is correct
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase 160 \(x\). The team had $32,000 and spent $18,000. Now the team can spend on new shoes $14,000 at most. Now, write the inequality: \(160x+18,000 ≤32,000\)

35- Choice B is correct
To get a sum of 8 for two dice, we can get 5 different options: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) To get a sum of 5 for two dice, we can get 4 different options: (1, 4), (2, 3), (3, 2), (4, 1) Therefore, there are 9 options to get the sum of 8 or 5. Since we have \(6 × 6 = 36\) total options, the probability of getting a sum of 8 and 5 is 9 out of 36 or \(\frac{1}{4}\).

36- Choice D is correct
Solve for \(x. 8≤-2x+4<16 ⇒\) (subtract 4 all sides) \(8-4≤-2x-4+4<16-4 ⇒ 4≤-2x<-12 ⇒\) (divide all sides by \(-2)-2≥x>-6 x \)is between \(-2\) and \(-6\). Choice D represents this inequality.

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Recommended EffortlessMath Books

For a workbook to pair with this practice test, the ATI TEAS 7 for Beginners walks through every TEAS topic with worked examples. For full nursing-school admissions prep with multiple timed practice tests, see the ATI TEAS 7 Math Test Prep Bundle (resource currently unavailable).

Frequently Asked Questions

How many questions are on the ATI TEAS test?

The ATI TEAS 7 has 170 questions in 209 minutes, split across Reading, Math, Science and English. The math section has 38 questions in 57 minutes, about 1.5 minutes per question. A few questions in each section are unscored pretest items, and you cannot tell which ones, so treat every question as if it counts.

Is the ATI TEAS test hard?

The TEAS is challenging mostly because of time and breadth, not because the math is advanced. The math section covers arithmetic, fractions, percents, algebra, measurement conversions and data. For example, 2.5 liters equals 2,500 mL. Most test takers find it manageable after a few weeks of steady practice and at least one full-length timed test. Your nursing program sets the score it requires.

Is there a full-length ATI TEAS 7 math practice test?

Yes. A full-length ATI TEAS 7 math practice test gives you 38 questions in 57 minutes, matching the real section, with detailed explanations afterward. Use only a basic four-function calculator, since that is what the TEAS provides on screen. Read every explanation, including for questions you got right, because they often show a faster method you can use on test day.

What is the best ATI TEAS study guide?

The best TEAS study guide is one written for the current TEAS 7 that covers all four sections and includes full-length practice tests with explanations. For math, choose a guide that drills ratios, percents, unit conversions, algebra and reading charts. Pair it with timed practice: a guide teaches the skills, while practice tests build the pacing you need for 57 minutes of math.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• ATI TEAS 7 Math Formula Cheat Sheet (resource currently unavailable)
• All free TEAS 7 Math practice tests
• How to find the slope of a line
• How to use the Pythagorean theorem
• Order of operations (PEMDAS)

Official source: the ATI TEAS exam format, the number of questions in each section and the time allowed are published by ATI, the organization that writes and administers the test, at atitesting.com/teas.