Practice Math TEAS TEST

Correct Answer: A

Rationale: The correct answer is A: 2W + 2(W + 3). To find the perimeter of a rectangle, you add up all its sides. Given that the length is 3 units greater than the width, the length is represented as W + 3. So, the expression for the perimeter is 2W (for the width) + 2(W + 3) (for the length). This simplifies to 2W + 2W + 6, which further simplifies to 4W + 6, representing the correct perimeter expression. Summary: B: W + W + 3 is incorrect as it only adds the width twice and does not account for the length. C: W(W + 3) is incorrect as it represents the area of the rectangle, not the perimeter. D: 2W + 2(3W) is incorrect as it incorrectly combines the width and length terms in the expression.

Correct Answer: D

Rationale: Step 1: Let x be the original price of the recliner. Step 2: Sale price = x - 0.3x = 0.7x Step 3: Price after coupon = 0.7x - 0.25(0.7x) = 0.525x Step 4: Set up equation: 0.525x = 237 Step 5: Solve for x: x = 237 / 0.525 ≈ $451 Step 6: The original price is closest to $451, making option C incorrect. Step 7: Check why other choices are incorrect: - Option A: $316 is too low for the original price. - Option B: $431 is the calculated sale price, not the original price. - Option D: $527 is the original price based on the calculation.

Correct Answer: A

Rationale: The correct way to display the frequency for each day of the week when students get up after 8 a.m. is through a histogram. Histograms are used to display the distribution of continuous data into intervals or bins, making them ideal for showing frequency distributions. In this case, each day of the week can be represented along the x-axis, with the frequency of students getting up after 8 a.m. on the y-axis. By using a histogram, we can easily visualize and compare the frequency of waking up late on different days. Summary: - Choice A (Histogram) is correct as it effectively displays frequency distributions. - Choice B (Pie chart) is not suitable for showing frequency distributions of days of the week. - Choice C (Bar graph) could work but histograms are more specifically designed for this purpose. - Choice D (Scatter plot) is used to show relationships between two continuous variables, not frequency distributions.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: The correct answer is B: Find all pairs of numbers that multiply to give the number. To find factors, we need to identify pairs of numbers that, when multiplied together, result in the original number. This method ensures that we consider all possible combinations of factors. Dividing the number by all possible numbers (A) is not efficient and may lead to overlooking certain factors. Listing all the multiples of the number (C) is incorrect as it focuses on multiples rather than factors. Adding the digits of the number together (D) is unrelated to finding factors.