Problem 82
What are additive inverses?
Problem 83
Describe how the inverse property of addition $$a+(-a)=0$$ can be shown on a number line.
Problem 83
State an associative property and give an example.
Problem 84
State a form of the distributive property and give an example.
Problem 84
Simplify each algebraic expression. \(-6 x-9 y-4 x+15 y\)
Problem 87
Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for each situation. Shoe sizes of students on campus
Problem 87
A bowler's handicap, \(H,\) is often found using the following formula: $$H=0.8(200-A)$$ A bowler's final score for a game is the score for that game increased by the handicap. a. If your average bowling score is \(145,\) what is your handicap? b. What would your final score be if you bowled 120 in a game?
Problem 88
Find the value of each expression. $$\frac{9}{10}-\left(\frac{1}{4}-\frac{7}{10}\right)$$
Problem 89
Express each sentence as a single numerical expression. Then use the order of operations to simplify the expression. Cube \(-2 .\) Subtract this exponential expression from \(-10\)
Problem 91
Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for each situation. Values of \(d\) given by the formula \(d=\sqrt{1.5 h},\) where \(d\) is the distance, in miles, that you can see to the horizon from a height of \(h\) feet