Question

what equation represent"fifteen more than r is sixty-one"r+61=15r+15=61r-15=61r-61=15which set of intergers are in the right order from least to greatest?|-10|,-3,2,77,|-10|,-3,22,-3,7,|-10|-3,2,7,|-10|

Answer 1

The phrase we need to represent in a mathematical form is "15 more than 'r' is 61". The "is" can be seen as an equality, while the "more than" can be seem as a sum, therefore the expression that we want is:

`r\text{ + 15 = 61}`

The correct answer is the second one.

For the second question we need to identify the order of the integers. The "trick" is the absolute value operation which appear in every option. The absolute value returns the positive part of the number, so if we have |-10| the result is equal to 10 and if we have |10| the result is also 10. With that in mind lets check each option.

`|-10|\text{ > -3<2<7}`

Since |-10| is greater than -3, this answer is not correct.

`7\text>-3<2`

Since |-10| is greater than -3, this answer is not correct.

`\text{ }2\text > -2 < 7 <`

In this case "2" is greater than "-2", therefore this answer is also not correct.

`-3\text < 2 < 7 <`

This is the correct answer, as all the number are aligned in the correct order.