The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the The Official SAT Study Guide Second Edition.
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.
Given:
To find:
The value for
Solution:
Topic(s): Symbol problems
Answer: (D) 12
2. Correct answer: (D)
Given:
To find:
Solution:
Topic(s): Corresponding angles
Angles 2 and 6 are corresponding angles and are equal.
Angles 4 and 8 are corresponding angles and are equal.
So,
Answer: (D) 6 and 8
3. Correct answer: (A)
Given:
The table showing the workforce
To find:
The number of women that are unemployed
Solution:
Employed 
Unemployed 
Total 

Men 
27,000 

Women 
21,000 
500 
21,500 
Total 
48,000 
50,500 
Calculate the number of women employed.
Women employed = Total employed – men employed
= 48,000 – 27,000
= 21,000
Calculate the number of women unemployed.
Women unemployed = Total women – women employed
= 21,500 – 21,000
= 500
Answer: (A) 500
4. Correct answer: (E)
Given:
A(k) = 4k – 30, where k is the number of cars
To find:
The amount raised for washing 15 cars
Solution:
A(k) = 4k – 30
Substitute k =15
A(15) = 4 × 15 – 30 = 60 – 30 = 30
Answer: (E) $30
5. Correct answer: (D)
Given:
x = v
v = kr
rv ≠ 0
To find:
The value of k
Solution:
Answer: (D) x
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