1. Alexia, Bob, and Comelia recorded the number of pages of books they read last month. Alexia read 135 pages, Bob read 26 pages less than Alexia, and Comelia read 3 and one-half times more pages than Alexia and Bob combined. Which of the following represents the total number of pages that Alexia, Bob, and Comelia read last month?
A. 3.5(135 + 26)
B. 3.5[2(135) - 26]
C. 4.5[2(135) - 26] Correct
D. 4.5[2(135) + 26]
Explanation
Bob’s pages: 135 - 26 = 109. Alexia + Bob: 135 + 109 = 244. Comelia: 3.5 × 244 = 854. Total: 135 + 109 + 854 = 1098. Option C, 4.5[2(135) - 26] = 4.5 × 244 = 1098, matches.
2. Sienna has four times as many DVDs as Teri. Robert has half as many DVDs as Teri. If Robert has 32 DVDs, how many DVDs does Sienna have?
A. 4
B. 16
C. 64
D. 256 Correct
Explanation
Robert’s 32 DVDs are half Teri’s, so Teri has 64 DVDs. Sienna has 4 × 64 = 256 DVDs, matching option d.
3. Frederica used 13.4 gallons of gasoline to drive 448.9 miles. What was the average number of miles she drove per gallon of gasoline?
A. 3.4 mpg
B. 33.5 mpg Correct
C. 60.15 mpg
D. 435.5 mpg
Explanation
MPG = 448.9 ÷ 13.4 ≈ 33.5, matching option B. Other options are unrealistic for typical vehicle efficiency.
4. 6 + 5,1/3 ÷ (6 - 5,1/3) =
A. 1,1/3
B. 5,1/3
C. 16 Correct
D. 17
Explanation
Compute 5⅓ ÷ (6 - 5⅓) = (16/3) ÷ (2/3) = 8, then 6 + 8 = 14. Option C (16) is closest, suggesting a document error.
5. 6[4 + 2(1 - 3)] =
B. 20
C. 24
D. 48
Explanation
Inside parentheses: 1 - 3 = -2. Then 2(-2) = -4. Next, 4 + (-4) = 0. Finally, 6 × 0 = 0, matching option A.