 # SAT Practice Test 7, Section 8: Questions 1 - 5

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More Lessons for SAT Preparation

Math Worksheets

This is for SAT in Jan 2016 or before.

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:
6,700 = 100(6k + 7)

To find:
The value of k

Solution:
Topic(s): Isolate variable

6,700 = 100(6k + 7)
67 = 6k + 7
6k = 60
k = 10

Given:
3 more than n is a negative number
5 more than n is a positive number

To find:
A possible value of n from the answers

Solution:
Topic(s): Translating words to equations

“3 more than n is a negative number”
n + 3 <0
n < −3

“5 more than n is a positive number”
n + 5 > 0
n > −5

So, −5 < n < −3 .
The only answer that is within this range is –4

Given:
The figure
x = 70
y = 40
The dotted line bisects the angles x and y

To find:
The value of z

Solution:
Given x = 70, y = 40 and that the dotted lines bisects angles x and y. Given:
The probability that the piece of fruit chosen will be an apple is To find:
Which of the following could NOT be the number of pieces of fruit in the basket

Solution:
Topic(s): Probability
The probability of choosing an apple is The number of fruits in the basket would need to be a multiple of the denominator (which is 5)

All the answers are a multiple of 5 except for 52

Given:
A square and an equilateral triangle have equal perimeters
The square has sides of length 3

To find:
Length of one side of the triangle

Solution:
Topic(s): Equilateral triangle

The square has sides of length 3. Its perimeter = 4(3) = 12
The equilateral triangle has the same perimeter as the square = 12

The length of each side of the triangle =   