Praxis 5003
Question 1 of 5.
A right rectangular prism has length 5.0 centimeters, width 7.3 centimeters, and height 9.2 centimeters. What is the surface area in square centimeters, of the prism?
A. 149.66
B. 167.9
C. 299.32
D. 335.18
Explanation: SA=2(lw+lh+wh)=2(5*7.3 +5*9.2 +7.3*9.2)=2(36.5+46+67.16)=2*149.66=299.32. Others partial like one side or volume. Full formula with all pairs correct, omitting factor 2 or pair wrongs.
Question 2 of 5.
Extract:Isabella: 1,590×8 Jayden: 1,590×10 Michael: 1,600×8 Sarah: 1,600×10
A teacher asked four students to write a multiplication expression to estimate 1, 592 + 8 and received the responses shown. Which student wrote the estimate that is closest to the actual value"?
A. Isabella
B. Jayden
C. Michael
D. Sarah
Explanation: Isabella’s estimate is closest. The exact product is 1.592×8=12.736. Interpreting the student estimates as reasonable rounded approximations of 1.592 and 8, Isabella used 1.590×8=12.72, Michael used 1.600×8=12.80, and Jayden and Sarah appear to have rounded the multiplier to 10, producing much larger values (≈15.90 and 16.00). Compute absolute errors: |12.736−12.72| = 0.016 for Isabella; |12.736−12.80| = 0.064 for Michael; Jayden and Sarah differ by over 3.1. Because Isabella’s error (0.016) is the smallest, her estimate is the closest to the actual value. Thus Isabella is the student with the best estimate.
Question 3 of 5.
The cost of 3 identical cans of peaches at a store is $2.67. At this rate, what is the cost of 8 cans of peaches?
A. $5.34
B. $7.12
C. $8.01
D. $21.36
Explanation: Unit price = $2.67 ÷ 3 = $0.89 per can. Multiply by 8: $0.89 × 8 = $7.12, so 8 cans cost $7.12. Cross-checking with different methods confirms accuracy. This builds foundational skills for ratios in algebra and real-life budgeting.
Question 4 of 5.
Extract:The table shows the temperature in degrees Fahrenheit (°F) recorded at three different times on a certain day in Montana. What is the difference between the greatest and least recorded temperature, in "F, for the day?
What is the difference between the greatest and least recorded temperature, in "F, for the day?
A. 46
B. 80
C. 88
D. 89
Explanation: Identify the maximum and minimum temperatures from the data: the highest recorded temperature is 34°F (at 1 PM) and the lowest is −54°F (at 6 AM). The difference between the greatest and least values equals the greatest minus the least. Since subtracting a negative is equivalent to adding its absolute value, compute 34 − (−54) = 34 + 54. Adding these gives 88. Therefore, the range of recorded temperatures—the difference between the greatest and least recorded readings—is 88°F. This calculation shows how to handle negative values correctly when finding a spread: always subtract the minimum from the maximum, and remember that subtracting a negative increases the result by the absolute value of that negative number.
Question 5 of 5.
In which of the following numbers is the digit 1 in the ten thousands place and the digit 9 in the ones place? Select ALL that apply.
A. 12,679
B. 12,769
C. 12,796
D. 21,679
E. 21,769
F. 21,796
Explanation: In 12,679, the places are 1 (ten thousands), 2 (thousands), 6 (hundreds), 7 (tens), 9 (ones), satisfying both conditions. Similarly, 12,769 has 1 (ten thousands), 2 (thousands), 7 (hundreds), 6 (tens), 9 (ones), also matching. 12,796 has 1 (ten thousands) but 6 (ones), not 9. 21,679 has 2 (ten thousands), 1 (thousands), so 1 is not in ten thousands, though 9 is ones. 21,769: 2 (ten thousands), 1 (thousands), 9 (ones), but 1 wrong place. 21,796: 2 (ten thousands), 1 (thousands), 6 (ones), neither condition fully met. The key is verifying each digit's place value precisely, as shifting digits changes places, leading to mismatches in the other options.