These are original practice items written to the TEAS 7 blueprint (4 options, no penalty for wrong answers), not actual exam questions. Try each one before you open the answer.
Mathematics: algebra sits inside the Mathematics section of the TEAS 7. Our bank holds 104 verified items tagged to it, and the 4 below are a fixed sample so the page stays the same every time you open it. Each one shows the reasoning, not just the letter.
The topic tag comes from our own items rather than from a published syllabus, so treat it as a map of what we cover. For the official section breakdown see the TEAS 7 page.
Question 1
Solve for x: 3(x - 4) = 21.
Correct answer: B
Divide both sides by 3: x - 4 = 7. Then add 4: x = 11.
Why the other options are wrong:
A: 3 results from incorrectly subtracting 4 from 21 and then dividing by 3: (21 - 4)/3 = 17/3 ≈ 5.67, not 3.
C: 25 results from multiplying 21 by 3 and then adding 4: (21 × 3) + 4 = 67, not 25.
D: 7 is the value of x - 4, not x.
Question 2
Solve for x: (2x/3) + (1/2) = (5x/6) - (1/4)
Correct answer: D
Multiply both sides by 12 (LCD of 3,2,6,4): 8x + 6 = 10x - 3. Subtract 8x: 6 = 2x - 3. Add 3: 9 = 2x. Divide by 2: x = 4.5.
Why the other options are wrong:
A: If x = 5.5, LHS = (11/3)+0.5 ≈ 3.667+0.5=4.167, RHS = (27.5/6)-0.25 ≈ 4.583-0.25=4.333, not equal.
B: If x = 3.5, LHS = (7/3)+(1/2) ≈ 2.333+0.5=2.833, RHS = (17.5/6)-0.25 ≈ 2.917-0.25=2.667, not equal.
C: If x = 6.5, LHS = (13/3)+0.5 ≈ 4.333+0.5=4.833, RHS = (32.5/6)-0.25 ≈ 5.417-0.25=5.167, not equal.
Question 3
A nurse mixes two saline solutions: one that is 10% saline and another that is 25% saline. She wants 3 liters of a 20% saline solution. How many liters of the 25% solution should she use?
Correct answer: D
Let x = liters of 25% solution, then (3 – x) = liters of 10% solution. Equation: 0.25x + 0.10(3 – x) = 0.20(3). Simplify: 0.25x + 0.3 – 0.1x = 0.6 → 0.15x = 0.3 → x = 2 L.
Why the other options are wrong:
A: This results from incorrectly setting up the equation (e.g., averaging concentrations).
B: This is the amount of 10% solution (1 L), not the 25% solution.
C: This would give a final concentration below 20% because too much of the weaker solution.
Question 4
A nurse calculates the drip rate (drops per minute) using the formula: D = (V * F) / T, where V is volume in mL, F is drop factor in drops/mL, and T is time in minutes. If a patient needs 500 mL over 4 hours with a drop factor of 20 drops/mL, what is the drip rate?
Correct answer: D
Convert 4 hours to 240 minutes. Then D = (500 * 20) / 240 = 10000 / 240 ≈ 41.67 drops/min. Rounded to 41.7.
Why the other options are wrong:
A: 125 comes from using 80 min (1.33 hr) or forgetting to convert hours.
B: 83.3 results from using 2 hours (120 min) instead of 4.
C: 62.5 results from using 160 min (2.67 hr) or miscalculating 10000/160.
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