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.

6. Correct answer: (A)

Given:
The figure

r = 50

To find: s + t + u

Solution: Topic(s): Pairs of angles

Given r = 50 u = r = 50 (corresponding angles) s = u = 50 (vertical angles) t = 180 – u = 180 – 50 = 120 (complementary angles)

s + t + u = 50 + 50 + 120 = 220

Answer: (A) 220

7. Correct answer: (C)

Given:
Line l is perpendicular to the y-axis and passes through the point (5, -3)

To find:
The equation of line l

Solution: Topic(s): Coordinate geometry

Line l is perpendicular to the y-axis.

This means it is a horizontal line (slope m = 0) that passes through the point (5, – 3).
The y-intercept will be at –3.
So, the equation of the line is y = – 3

Answer: (C) y = – 3

8. Correct answer: (E)

Given:
The profit obtained by selling x units is given by the function p(x) = 17x – (10x + b), where b is a constant
300 units were sold for a profit of $1,900

To find:
The value of b

Solution:
300 units sold means x = 300
$1,900 profit means p(x) = 1900

Substitute into the function:

p(300) = 17 × 300 – (10 × 300 + b) = 1900
⇒ 5100 – 3000 – b = 1900
⇒ b = 2100 – 1900 = 200

Answer: (E) 200

9. Correct answer: (E)

To find:
The number that results when an integer is multiplied by itself CANNOT end in which of the following digits

Solution:
We need to eliminate the answers that are ending digits when an integer is multiplied by itself.

Answer: (E) 8

10. Correct answer: (B)

Given:
A bag with only red, blue and yellow marbles

The probability of selecting a red marble is

The probability of selecting a red marble is

To find:
The total number of marbles in the bag

Solution: Topic(s): Probability

This means that the total number of marbles must be a multiple of 4 and a multiple of 6.

Check the answers to find the one that is a multiple of 4 and a multiple of 6.

Answer: (B) 12

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