More Lessons for SAT Preparation

Math Worksheets

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.

**1. Correct answer: (B)**

Given:

*q, x* and *z* in a word is worth 5 points

All other letters are worth 1 point each

To find:

Sum of points assigned to the word “exquisite”

Solution:

The 2 letters *x* and *q* are given 5 points each: 2 × 5 = 10

The 7 other letters are given 1 point each

Add up the points and we get 17

**Answer: (B) 17**

**2. Correct answer: (B)**

Given:

2*x* = 10 = 20

To find:

*x* – 5

Solution:

It is not necessary to solve for *x*

Notice that *x* – 5 is half of 2*x* – 10

*x* – 5 = 20 ÷ 2 = 10

**Answer: (B) 10**

**3. Correct answer: (E)**

Given:

*t* is an odd integer.

To find:

The expression that represents an even integer

Solution:

(A) *t* + 2 (*t* + 2 is odd)

(B) 2*t* + 1 (2*t* is even and so, 2*t* + 1 is odd)

(C) 3*t* – 2 (3*t* is odd and so, 3*t* – 2 odd)

(D) 3*t* + 2 (3*t* is odd and so, 3*t* + 2 odd)

(E) 5*t* +1 (5*t* will end with a 5 and it will be odd, so 5*t* +1 would be even)

**Answer: (E) 5 t +1**

**4. Correct answer: (C)**

Given:

Perimeter of triangle *ABC* equals the perimeter of triangle *DEF
*Triangle

To find:

*AB *

Solution:

The perimeter of triangle *DEF* is 4 + 8 + 9 = 21

Since triangle *ABC* is equilateral, *AB* = 21 ÷ 3 = 7

**Answer: (C) 7**

**5. Correct answer: (E)**

Given:

A circle graph

The store sold 900 pairs of jeans other than *J,K,L,M* and *N *

To find:

The number of pairs of jeans sold altogether

Solution:

Topic(s): Proportional word problem

The percent of jeans other than *J,K,L,M* and *N* is 20%

We can rewrite it as a proportional problem

If 20% then 900, if 100% then how many?

0.2 → 900

1 →

**Answer: (E) 4500**

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.