SAT Practice Test 1, Section 6: Questions 6 - 10

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: (D)

Given:
w is directly proportional to x

To find:
The table that shows the relationship

Solution:
Topic(s): Directly proportional

w is directly proportional to x. This means that is a constant.

We need to check the tables to find out which one has a constant .

Try checking from (E).

Answer: (D)

7. Correct answer: (D)

Given:
He collects k dollars a day

He pays out dollars per day and saves the rest of the money

To find:
The number of days he takes to save $1,000

Solution:
Topic(s): Isolate variable

Let d be the number of days he saved to get to $1,000

Answer: (D)

8. Correct answer: (B)

Given:
The number line

To find:
The result when the coordinate of point P is multiplied by point Q

Solution:
Topic(s): Integers

From the number line, we know that P is a negative number between 0 and –1, and Q is a positive number between 1 and 2.

We can deduce that P × Q is a negative number because positive × negative is negative. So, we can eliminate D and E.

This only leaves B as a possible result.

Answer: (B)

9. Correct answer: 3

Given:
5y + 2x = 23 (equation 1)
x = y + 1 (equation 2)

To find:
The value for y

Solution:
Topic(s): Substitution

Substitute equation 2 into equation 1.

Answer: 3

10. Correct answer: 450

Given:
Factory produced 300 in first week
Production increased 50% in the second week

To find:
The number of appliances produced in the second week

Solution:
Topic(s): Percent

The increase in the second week is

Do not shade in 150 yet.

The question asked for the number produced not just the increase.

So, the number produced is 300 + 150 = 450.

Answer: 450

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