The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.
It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.
1. Correct answer: (C)
1 package contains 12 rolls
Other packages contain 8 rolls
She bought 5 packages
The number of rolls purchased
She bought 5 packages: 1 package with 12 rolls and 4 packages with 8 rolls.
1 × 12 + 4 × 8 = 12 + 32 = 44
Answer: (C) 44
2. Correct answer: (D)
A, B and C are points on a line in that order.
AB = 30
BC is 20 more than AB
AB = 30.
BC is 20 more than AB; BC = 20 + 30 = 50
AC= AB + BC = 30 + 50 = 80
Answer: (D) 80
3. Correct answer: (C)
x + 3 = a
2x + 6
2x + 6 = 2(x + 3) = 2a
Answer: (C) 2a
4. Correct answer: (A)
The student whose change from Test I to Test II is the greatest
The x-coordinate of a point represents the score on Test I.
The y-coordinate of a point represents the score on Test II.
We can calculate the difference between the x and y coordinates to determine the change in scores.
Point A is (40, 70), 70 – 40 = 30
Point B is (40, 60), 60 – 40 = 20
Point C is (60, 70), 70 – 60 = 10
Point D is (80, 80), 80 – 80 = 0
Point E is (80, 60), 80 – 60 = 20
The point with the greatest difference is A.
Answer: (A) A
5. Correct answer: (C)
Average of the scores of the 5 students on Test II
To get the average of the scores of 5 students on test II, add up all the scores of Test II (which is the y-coordinates of the points) and divide by 5
Answer: (C) 68
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