Mathematical Concepts and Problem Solving

The video tutorial covers explanations for questions 6-10 of an EOG inactive release test. It begins with a scatter plot analysis to predict a dog's weight using a linear model. The tutorial then explains how to convert repeating decimals into fractions and perform cross-reduction. It also covers calculating the sum of integers using a number line and estimating square roots to find integer values. Finally, it demonstrates simplifying operations involving exponents.

What is the purpose of Sharon's scatter plot?

• To compare the shoulder height of dogs to their length

• To compare the length of dogs to their weight

• To compare the shoulder height of dogs to their weight

• To compare the shoulder height of cats to their weight

Using a linear model, what is the predicted weight of Sharon's dog with a shoulder height of 28 inches?

• 120 pounds

• Between 100 and 110 pounds

• 90 pounds

• 85 pounds

How do you convert a repeating decimal like 0.36 repeating into a fraction?

• Use one 6 in the denominator

• Use two 6s in the denominator

• Use one 9 in the denominator

• Use two 9s in the denominator

What is the result of multiplying 36/99 by 11/2 after cross-reducing?

• 11/2

• 36/18

• 99/36

• 18/9

What is the sum of all integers between 19 and 77?

• 11

• 15

• 26

• 36

Which integer is the largest value less than the square root of 407?

• 20

• 22

• 19

• 21

What is the largest integer value less than the negative square root of 68?

• -10

• -9

• -8

• -7

What is the distance between points P and Q on the number line?

• 25

• 20

• 15

• 10

When simplifying exponents, what do you do with exponents that have the same base?

• Subtract the exponents

• Divide the exponents

• Add the exponents

• Multiply the exponents

What is the simplified result of the operation involving five on top and four times four on the bottom?

• 5/16

• 5/8

• 10/16

• 10/8