Question

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Answer 1

The solution to the expressions are

• The additive inverse of -42 is 42
• The solution to 107 - (-25) is 132
• The value of 14 - a^2 is 5
• The equation that represents the statement given as fifteen more than r is 61 is r + 15 = 61
• The value of 4^2 - 2(3 * 5 + 1) is -16
• The symbol to use is <
• The value of 7(10 - 2^3) + 8 + 2 is 24
• The set of integers from least to greatest is -3, 2, 7, |-10|

The additive inverse of -42

Consider a number x

The additive inverse of x is - x

This means that the additive inverse of -42 is 42

The solution to 107 - (-25)

The expression is given as:

107 - (-25)

Remove the bracket

107 - (-25) = 107 + 25

Evaluate the sum

107 - (-25) = 132

Hence, the solution to 107 - (-25) is 132

The value of 14 - a^2

The expression is given as:

14 - a^2

Where a = -3

So, we have

14 - a^2 = 14 - (-3)^2

Evaluate the square

14 - a^2 = 14 - 9

Evaluate the difference

14 - a^2 = 5

Hence, the value of 14 - a^2 is 5

The equation that represents the statement

The statement is given as:

fifteen more than r is 61

This is an addition equation.

So, we have:

r + 15 = 61

Hence, the equation that represents the statement given as fifteen more than r is 61 is r + 15 = 61

The value of 4^2 - 2(3 * 5 + 1)

The expression is given as:

4^2 - 2(3 * 5 + 1)

So, we have

4^2 - 2(3 * 5 + 1)= 4^2 - 32

Evaluate the square

4^2 - 2(3 * 5 + 1)= 16 - 32

Evaluate the difference

4^2 - 2(3 * 5 + 1)= -16

Hence, the value of 4^2 - 2(3 * 5 + 1) is -16

The symbol to use

The expression is given as:

-2 ? |-3|

Evaluate the absolute value

-2 ? 3

-2 is less than 3.

So, we have:

-2 < 3

Hence, the symbol to use is <

The value of 7(10 - 2^3) + 8 + 2

The expression is given as:

7(10 - 2^3) + 8 + 2

So, we have

7(10 - 2^3) + 8 + 2 = 14 + 8 + 2

Evaluate the sum

7(10 - 2^3) + 8 + 2 = 24

Hence, the value of 7(10 - 2^3) + 8 + 2 is 24

The set of integers from least to greatest

|-10| = 10

So, we have

The set of integers from least to greatest is -3, 2, 7, |-10|

Read more about expressions at:

brainly.com/question/723406

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