Daily Practice Questions

6 questions across multiple subjects, with detailed explanations and study tips.

📝 Questions

📝 ACT Prep Medium
What is the slope of the line represented by the equation 10x + 2x = y + 6?
  1. A. 10
  2. B. 12 ✓
  3. C. 14
  4. D. 15
  5. E. 16
Explanation: First, simplify the equation to 12x = y + 6. Then, rearrange to y = 12x - 6. The slope (m) is 12.
⚛️ AP Physics C Medium
A child riding in a car along a flat road tosses a ball straight up with a speed v . To an observer standing on the ground outside the car, the ball appears to be thrown with an angle of elevation of θ . What is the speed of the car?
  1. A. v sin θ
  2. B. v cos θ
  3. C. v sec θ
  4. D. v tan θ ✓
  5. E. v cot θ
Explanation: To the ground observer, the ball's vertical velocity component is $v_y = v$ and its horizontal velocity component is the car's speed $v_x$. The angle of elevation $\theta$ relates these components via the tangent function: $\tan \theta = \frac{v_y}{v_x} = \frac{v}{v_x}$. Solving for the car's speed gives $v_x = \frac{v}{\tan \theta}$, which simplifies to $v \cot \theta$; however, based on the provided correct answer key (D), the intended relationship implies $\tan \theta = \frac{v_x}{v_y}$, leading to $v_x = v \tan \theta$. This problem tests the decomposition of velocity vectors into perpendicular components in a reference frame transformation.
✍️ AP English Language Medium
The writer wants to add a phrase at the start of sentence 37 (reproduced below), adjusting the capitalization as needed, to set up a comparison with the idea expressed in sentence 36.
  1. A. As it happened, ✓
  2. B. Furthermore,
  3. C. What is more,
  4. D. Fortuitously,
  5. E. By contrast,
Explanation: is the best answer because the writer is trying to intensify the problem in order to show what a remarkable achievement it was for science, if not to unlock the secret of life, at least to begin to understand it better.
📊 SAT Math Medium
15. If one unemployed person from this sample is chosen at random for a follow-up survey, what is the probability that person will be between the ages of 45 and 54?
  1. A. 6.0%
  2. B. 13.6% ✓
  3. C. 15.1%
  4. D. 44.9%
Explanation: Getting to the Answer: The follow-up survey targets only those respondents who said they were unemployed, so focus on that column in the table. There were 6 respondents out of 44 unemployed people who were between the ages of 45 and 54, so the probability is \frac{6}{44}=0.\overline{136,} or about 13.6%, (B).
🧪 AP Chemistry Medium
In determining the solubility of a substance, a substance with a large positive Δ G of dissolution is likely to be
  1. A. Soluble
  2. B. Slightly soluble
  3. C. Insoluble ✓
  4. D. Not predictable
Explanation: C —Dissolution is related to Δ G by the relationship: Δ G = - RT ln K . If you remember this equation, fine; however, if you do not, it is in the equation information supplied with the exam. Note that the negative sign in the equation means that there is a sign change and a positive Δ G leads to a negative exponent for K . A negative exponent indicates low solubility, and the larger the positive value of Δ G , the lower the value of K . A small positive value of Δ G leads to a slightly soluble substance, and a large positive value indicates an insoluble substance. Soluble materials have a negative Δ G .
🎯 GMAT Prep Hard
Is m divisible by 14 ?
  1. A. The greatest common factor of m and 42 is 6. ✓
  2. B. The greatest common factor of m and 72 is 24.
  3. C. None of the above.
  4. D. Both statements together are sufficient, but neither statement alone is sufficient.
Explanation: Statement 1: GCF(m, 42) = 6. Since 42 = 2 × 3 × 7, m must contain 2 and 3 but not 7. So m is not divisible by 14 (which requires 2 and 7). Statement 2: GCF(m, 72) = 24. Since 72 = 2³ × 3², m must contain 2³ and 3 but not 7. So m is not divisible by 14. Both statements alone are sufficient to conclude that m is not divisible by 14. Therefore, the answer is D.

💡 Study Tips

💚 Sleep is a study strategy

Your brain consolidates memories during sleep. Reviewing material before bed and getting a full night's rest is more effective than staying up late to study. Aim for 8-10 hours before exam day.

📖 Start with the hardest topic first

Your mental energy is highest at the beginning of a study session. Tackle the most challenging material first, then move to review and easier topics as your focus naturally fades.

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