Free TEAS 7 Math Practice Test 1 — 30 Questions With Full Explanations

Question 1. Numbers & Algebra easy

A phlebotomist processes 45 blood samples in a shift. If 22% are shipped to the lab the same day, how many samples is that?

• A. 12
• B. 9
• C. 10 (correct)
• D. 22

Explanation: 22% of 45 = 45 x 22/100 = 9.9, which is 10 whole samples. 9 comes from multiplying by 0.2 instead of 0.22; 12 and 22 confuse the percent with a count.

Question 2. Numbers & Algebra easy

A nurse audits 18 charts out of 48 on a unit. What fraction of the charts is this, in lowest terms?

• A. 2/5
• B. 3/7
• C. 1/3
• D. 3/8 (correct)

Explanation: 18/48 reduces by the common factor 6: 18/6 = 3 and 48/6 = 8, giving 3/8. The other options are unreduced or mis-divided versions of nearby ratios.

Question 3. Numbers & Algebra easy

Convert 0.065 to a percent.

• A. 6.5% (correct)
• B. 0.65%
• C. 65%
• D. 0.065%

Explanation: A percent is parts per hundred: 0.065 = 6.5/100, so 0.065 = 6.5%. 65% moves the decimal the wrong direction; 0.65% and 0.065% shift it too far.

Question 4. Numbers & Algebra medium

A technician's hourly wage falls from $26.50 to $22.10. Which value is closest to the percent decrease?

• A. 16.6% (correct)
• B. 13.6%
• C. 19.9%
• D. 18.6%

Explanation: Percent change uses the ORIGINAL value as the base: (26.50 - 22.10)/26.50 = 4.40/26.50 = 16.6%. Using the new wage as the base gives 19.9% - the classic error. The other two are rounding slips.

Question 5. Numbers & Algebra easy

An IV pump delivers 50 mL every 2 hours. At the same rate, how many mL does it deliver in 8 hours?

• A. 400
• B. 160
• C. 200 (correct)
• D. 300

Explanation: Rate = 50 mL / 2 h = 25 mL/h. Over 8 h: 25 x 8 = 200 mL. 160 multiplies the per-2-hour amount by the wrong factor; 400 double-counts; 300 is an arithmetic slip.

Question 6. Numbers & Algebra easy

If 3x - 7 = 26, what is x?

• A. 10
• B. 11 (correct)
• C. 9
• D. 13

Explanation: Add 7 to both sides: 3x = 33. Divide by 3: x = 11. 9 and 10 come from dividing before finishing the subtraction; 13 comes from adding 7 to 26 on only one side.

Question 7. Numbers & Algebra medium

A stretcher and gear weigh 165 lb. Each patient adds 85 lb, and the load must stay under 600 lb. At most how many patients can be loaded?

• A. 7
• B. 5 (correct)
• C. 4
• D. 6

Explanation: 85n <= 600 - 165 = 435, so n <= 5.1. The largest whole number that fits is 5. Choosing 6 exceeds the limit; 4 and 7 come from subtraction slips.

Question 8. Numbers & Algebra medium

If x = 3, what is the value of 2x^2 - 3x + 5?

• A. 27
• B. 18
• C. 14 (correct)
• D. 11

Explanation: Substitute 3: 2(3)^2 - 3(3) + 5 = 2(9) - 9 + 5 = 18 - 9 + 5 = 14. 27 squares the whole term; 18 forgets the final +5; 11 evaluates 3x before the square.

Question 9. Numbers & Algebra medium

A disinfectant mixes water and concentrate in a 7:3 ratio. To make 2 liters of solution, how many milliliters of concentrate are needed?

• A. 700
• B. 1400
• C. 600 (correct)
• D. 300

Explanation: 7 + 3 = 10 parts; each part is 2000 mL / 10 = 200 mL. Concentrate = 3 x 200 = 600 mL. 700 uses the water share; 1400 forgets to divide by 10; 300 halves instead of scaling.

Question 10. Numbers & Algebra medium

Box A holds 24 gloves for $8.40. Box B holds 30 gloves for $10.50. Which statement about the cost per glove is correct?

• A. Box A is cheaper by $0.05 per glove
• B. Box B is cheaper by $0.01 per glove
• C. Box A is cheaper by $0.01 per glove
• D. They cost the same per glove (correct)

Explanation: A: 8.40/24 = $0.35 per glove. B: 10.50/30 = $0.35 per glove. Equal unit prices, so neither box is cheaper. The wrong options come from comparing totals instead of unit prices or from rounding early.

Question 11. Numbers & Algebra medium

A 250 mL bag contains a 4% solution. How many mL of the active drug does the bag hold?

• A. 4
• B. 10 (correct)
• C. 12.5
• D. 62.5

Explanation: 4% of 250 mL = 0.04 x 250 = 10 mL. 12.5 treats 4% as a fraction of a quarter; 4 confuses the percent with the amount; 62.5 divides instead of multiplies.

Question 12. Numbers & Algebra easy

Which equation represents: The quotient of a number and 4, decreased by 9, is 15?

• A. n/4 + 9 = 15
• B. n/4 - 9 = 15 (correct)
• C. 4/n - 9 = 15
• D. 4n - 9 = 15

Explanation: The quotient of a number and 4 means n/4; decreased by 9 subtracts 9; is means equals, so the equation is n/4 - 9 = 15. 4/n inverts the quotient, +9 flips the operation, and 4n misreads quotient as product.

Question 13. Numbers & Algebra easy

If 5 tablets contain 12.5 mg of a drug, how many mg are in 8 tablets?

• A. 16
• B. 25
• C. 20 (correct)
• D. 24

Explanation: Each tablet: 12.5/5 = 2.5 mg. Eight tablets: 8 x 2.5 = 20 mg. 16 and 24 come from unit-rate slips, and 25 rounds the per-tablet dose up.

Question 14. Numbers & Algebra medium

Hospital A admits 320 patients a month. Hospital B admits 260. Hospital A's admissions are what percent greater than Hospital B's? (nearest whole percent)

• A. 19%
• B. 17%
• C. 27%
• D. 23% (correct)

Explanation: (320 - 260)/260 = 60/260 = 0.2308, about 23%. The base is B, the comparison target. 19% uses A as the base; 17% and 27% are subtraction or rounding slips.

Question 15. Numbers & Algebra easy

Four shifts record intakes of 42, 51, 38, and 49 patients. What is the mean intake per shift?

• A. 46
• B. 44
• C. 45 (correct)
• D. 48

Explanation: 42 + 51 + 38 + 49 = 180; 180/4 = 45. 44 and 46 are addition slips; 48 averages only the two largest values.

Question 16. Numbers & Algebra hard

Solve for x: 2(x + 4) = 3(x - 1).

• A. 7
• B. 11 (correct)
• C. -11
• D. 5

Explanation: Expand: 2x + 8 = 3x - 3. Subtract 2x: 8 = x - 3. Add 3: x = 11. 7 and 5 come from distributing to only one term; -11 flips the sign when moving terms.

Question 17. Measurement & Data easy

A patient's incision measures 7.5 cm. To the nearest tenth of an inch, how long is it? (1 inch = 2.54 cm)

• A. 2.9 in
• B. 19.1 in
• C. 3.3 in
• D. 3.0 in (correct)

Explanation: 7.5 / 2.54 = 2.952 in, about 3.0 in. 2.9 and 3.3 are rounding slips; 19.1 multiplies by 2.54 instead of dividing.

Question 18. Measurement & Data easy

A newborn weighs 3.4 kg. How many grams is that?

• A. 3,400 g (correct)
• B. 340 g
• C. 0.34 g
• D. 34,000 g

Explanation: 1 kg = 1,000 g, so 3.4 kg = 3.4 x 1,000 = 3,400 g. 340 shifts one decimal place instead of three; 34,000 shifts four; 0.34 divides.

Question 19. Measurement & Data easy

A procedure takes 2 hours 45 minutes. How many minutes is that?

• A. 270
• B. 145
• C. 165 (correct)
• D. 205

Explanation: 2 h = 120 min; 120 + 45 = 165 min. 205 and 145 are hour-to-minute slips; 270 treats 45 min as an hour.

Question 20. Measurement & Data easy

A bag holds 1,750 mL of fluid. How many liters is that?

• A. 175 L
• B. 0.175 L
• C. 17.5 L
• D. 1.75 L (correct)

Explanation: 1,000 mL = 1 L, so 1,750 mL = 1.75 L. 17.5, 0.175 and 175 shift the decimal the wrong number of places.

Question 21. Measurement & Data easy

A clipboard sheet lists output every 2 hours: 60 mL, 75 mL, 55 mL, 70 mL. What is the total output recorded?

• A. 250 mL
• B. 260 mL (correct)
• C. 270 mL
• D. 240 mL

Explanation: The clipboard output totals 60 + 75 + 55 + 70 = 260 mL. The wrong totals come from adding one of the four values twice or leaving one out entirely, both easy slips when reading a table quickly.

Question 22. Measurement & Data medium

Of 80 swabs tested, 18 came back positive. What percent were negative?

• A. 23%
• B. 22.5%
• C. 78.5%
• D. 77.5% (correct)

Explanation: Negative = 80 - 18 = 62; 62/80 = 0.775 = 77.5%. 22.5% answers the percent positive; the others are arithmetic slips on 62/80.

Question 23. Measurement & Data medium

Seven waiting times in minutes: 8, 12, 5, 22, 14, 9, 31. What is the median?

• A. 13
• B. 14
• C. 12 (correct)
• D. 9

Explanation: Ordered: 5, 8, 9, 12, 14, 22, 31. The middle (4th) value is 12. 14 is the value just above the median, 9 is below it, and 13 miscomputes the mean.

Question 24. Measurement & Data easy

Temperatures recorded in degrees C: 36.8, 37.0, 36.8, 37.2, 37.0, 36.8. What is the mode?

• A. 36.9
• B. 37.0
• C. 37.2
• D. 36.8 (correct)

Explanation: 36.8 appears three times, more than any other value, so the mode is 36.8. 37.0 appears twice; 36.9 is the approximate mean; 37.2 is the maximum.

Question 25. Measurement & Data medium

Weekly admissions: 40, 44, 52, 61, 73. Which statement best describes the trend?

• A. Admissions increase, but the increases shrink each week
• B. Admissions increase, and the increases grow each week (correct)
• C. Admissions decrease after the third week
• D. Admissions increase by the same amount each week

Explanation: Differences are 4, 8, 9, 12 - positive and growing, so growth is accelerating. A constant increase would need equal differences; shrinking increases contradicts them; there is no decrease.

Question 26. Measurement & Data medium

A drip adds 15 mL to the bag every 10 minutes. Which equation gives volume V in mL after t whole 10-minute intervals?

• A. V = 10t + 15
• B. V = 15t (correct)
• C. V = 15t + 10
• D. V = t/15

Explanation: Each interval adds a constant 15 mL, so V = 15 x t. 10t + 15 swaps the rate and the interval, t/15 inverts the rate, and 15t + 10 adds a constant the data does not have.

Question 27. Measurement & Data medium

A pie chart of 200 admissions shows Surgery at 25%, Medicine at 40%, and Emergency at 20%. How many admissions are neither Surgery, Medicine, nor Emergency?

• A. 25
• B. 50
• C. 30 (correct)
• D. 40

Explanation: The three slices total 85%; the remainder is 15% of 200 = 30. 40, 25 and 50 come from applying a single slice's percent to the total instead of the remainder.

Question 28. Measurement & Data easy

Blood pressures logged (systolic): 118, 132, 126, 141, 129. What is the range?

• A. 23 (correct)
• B. 19
• C. 27
• D. 13

Explanation: The range is the difference between the largest and smallest readings: 141 - 118 = 23. Option 27 comes from subtracting a non-extreme pair, while 19 and 13 use values that are not the true extremes of the set.

Question 29. Measurement & Data medium

A pump log reads: 0 min = 0 mL, 30 min = 48 mL, 60 min = 96 mL, 90 min = 144 mL. What is the flow rate in mL per hour?

• A. 144
• B. 48
• C. 96 (correct)
• D. 192

Explanation: From 0 to 60 min the volume rises 96 mL, so the rate is 96 mL/hour (48 mL per 30 min x 2). 48 is the half-hour rate; 192 and 144 double-count or read the 90-minute total as hourly.

Question 30. Measurement & Data hard

A dose is ordered as 0.8 mg. The stock vial is labelled 500 micrograms per mL. How many mL deliver the ordered dose? (1 mg = 1,000 mcg)

• A. 0.4
• B. 1.6 (correct)
• C. 16
• D. 1.25

Explanation: 0.8 mg = 800 mcg. At 500 mcg/mL: 800/500 = 1.6 mL. 0.4 divides by 2,000; 1.25 inverts the division; 16 slips the decimal in the mg-to-mcg conversion.