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: **

5*y* + 2*x* = 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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