Chapter 3

Simplify. $$11-(-2)-6+10$$

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=-5 \frac{2}{5}, y=-9$$

Business Some businesses show a profit as a positive number and a loss as a negative number. During the third quarter of last year, the loss experienced by a company was recorded as \(-26,800 .\) During the fourth quarter of last year, the loss experienced by the company was \(-24,900 .\) During which quarter was the loss greater?

Simplify. $$5+4-(-3)-7$$

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=-2 \frac{5}{8}, y=1 \frac{3}{4}$$

Simplify. $$-1-8+6-(-2)$$

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=-3 \frac{2}{5}, y=-1 \frac{7}{10}$$

The daily high temperatures during one week were \(-6^{\circ},-11^{\circ}, 1^{\circ}\) \(5^{\circ},-3^{\circ},-9^{\circ},\) and \(-5^{\circ} .\) Find the average daily high temperature for the week.

Simplify. $$-13+9-(-10)-4$$

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=-64.05, y=-6.1$$

The daily low temperatures during one week were \(4^{\circ},-5^{\circ}, 8^{\circ},\) \(-1^{\circ},-12^{\circ},-14^{\circ},\) and \(-8^{\circ} .\) Find the average daily low temperature for the week.

Simplify. $$6-(-13)-14+7$$

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=-2.501, y=0.41$$

Find the largest possible product of two negative integers whose sum is \(-18 .\) b. Find the smallest possible sum of two negative integers whose product is 16.

Evaluate the expression for the given values of the variables. \(-x-y,\) for \(x=-3\) and \(y=9\)

The Stock Market In the stock market, the net change in the price of a share of stock is recorded as a positive or a negative number. If the price rises, the net change is positive. If the price falls, the net change is negative. If the net change for a share of Stock \(A\) is \(-2\) and the net change for a share of Stock \(B\) is \(-1,\) which stock showed the least net change?

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=1.173, y=-0.69$$

Use repeated addition to show that the product of two integers with different signs is a negative number.

Evaluate the expression for the given values of the variables. \(x-(-y),\) for \(x=-3\) and \(y=9\)

Is \(-\frac{1}{6}\) a solution of the equation \(6 x=1 ?\)

Find the multiplier in the geometric sequence. Then find the next four numbers of the sequence. $$-5,15,-45, \dots$$

Evaluate the expression for the given values of the variables. \(-x-(-y),\) for \(x=-3\) and \(y=9\)

Is \(-\frac{4}{5}\) a solution of the equation \(\frac{5}{4} n=-1 ?\)

Find the multiplier in the geometric sequence. Then find the next four numbers of the sequence. $$2,-4,8, \dots$$

Evaluate the expression for the given values of the variables. \(a-(-b),\) for \(a=-6\) and \(b=10\)

Find the multiplier in the geometric sequence. Then find the next four numbers of the sequence. $$-3,-12,-48, \dots$$

Is \(-8\) a solution of the equation \(1.6=-0.2 z ?\)

Evaluate the expression for the given values of the variables. \(a-b-c,\) for \(a=4, b=-2,\) and \(c=9\)

Find the multiplier in the geometric sequence. Then find the next four numbers of the sequence. $$-1,-5,-25, \dots$$

Is \(-1\) a solution of the equation \(-7.9 c=-7.9 ?\)

Evaluate the expression for the given values of the variables. \(a-b-c,\) for \(a=-1, b=7,\) and \(c=-15\)

Evaluate the expression for the given values of the variables. \(x-y-(-z),\) for \(x=-9, y=3,\) and \(z=30\)

Use the following information: When \(-3.54\) is divided into a certain dividend, the result is a positive number less than \(1 .\) Determine whether each statement is true or false. The dividend is a positive number.

Evaluate the expression for the given values of the variables. \(-x-(-y)-z,\) for \(x=8, y=1,\) and \(z=-14\)

Find the values of \(a\) for which \(|a|=7\)

On January \(23,1916\), the temperature in Browing, Montana, was \(6.67^{\circ} \mathrm{C} .\) On January \(24,1916,\) the temperature in Browing was \(-48.9^{\circ} \mathrm{C} .\) Find the difference between the temperatures in Browing on these two days.

Is \(-3\) a solution of the equation \(x-7=-10 ?\)

Find the values of \(y\) for which \(|y|=11\)

On January \(22,1943,\) in Spearfish, South Dakota, the temperature fell from \(12.22^{\circ} \mathrm{C}\) at 9 A.M. to \(-20^{\circ} \mathrm{C}\) at 9: 27 A.M. How many degrees did the temperature fall during the 27 -minute period?

Is \(-4\) a solution of the equation \(1=3-y ?\)

Given that \(x\) is an integer, find all values of \(x\) for which \(|x|<5\)

Is \(-2\) a solution of the equation \(-5-w=7 ?\)

Given that \(c\) is an integer, find all values of \(c\) for which \(|c|<7\)

If the temperature begins at \(4.8^{\circ} \mathrm{C}\) and ends up below \(0^{\circ} \mathrm{C},\) is the difference between the starting and ending temperatures less than or greater than \(4.8 ?\)

Is \(-8\) a solution of the equation \(-12=m-4 ?\)

If the temperature rose \(20.3^{\circ} \mathrm{F}\) during one day and ended up at a high temperature of \(15.7^{\circ} \mathrm{F},\) did the temperature begin above or below \(0^{\circ} \mathrm{F} ?\)

Is \(-6\) a solution of the equation \(-t-5=7+t ?\)

a. Name two numbers that are 4 units from 2 on the number line. b. Name two numbers that are 5 units from 3 on the number line.

The boiling point of nitrogen is \(-195.8^{\circ} \mathrm{C},\) and the melting point is \(-209.86^{\circ} \mathrm{C} .\) Find the difference between the boiling point and the melting point of nitrogen.

Is \(-7\) a solution of the equation \(5+a=-9-a ?\)