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Problem 100

Write a numerical expression for each phrase and simplify. See Examples 7 and \(8 .\) The product of \(-3\) and the difference between 3 and \(-7\)

Problem 101

Write a numerical expression for each phrase and simplify. 8 less than \(-2\)

Problem 104

Kyla Williams needs \(2 \frac{1}{4}\) yd of fabric to cover a chair. How many chairs can she cover with \(23 \frac{2}{3}\) yd of fabric?

Problem 112

Solve each problem. The top of Mt. Whitney, visible from Death Valley, has an altitude of \(14,494\) ft above sea level. The bottom of Death Valley is 282 ft below sea level. Using 0 as sea level, find the difference between these two elevations.

Problem 114

Solve each problem. A pilot announces to the passengers that the current altitude of their plane is \(34,000\) ft. Because of turbulence, the pilot is forced to descend \(2100 \mathrm{ft}\). Write the new altitude as a signed number.

Problem 114

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. See Example \(9 .\) The quotient of a number and 4 is \(-1\)

Problem 119

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(23,18,13,-4,\) and \(-8\)

Problem 124

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. All even integers between \(-18\) and \(4,\) inclusive

Problem 125

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 2 if its last digit is divisible by \(2,\) and not otherwise. Show that (a) \(3,473,986\) is divisible by 2 and (b) \(4,336,879\) is not divisible by 2

Problem 128

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 5 if its last digit is divisible by \(5,\) and not otherwise. Show that (a) \(3,774,595\) is divisible by 5 and (b) \(9,332,123\) is not divisible by 5

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