Chapter 3

Prealgebra and Introductory Algebra ยท 567 exercises

Problem 106

What is the product of \(-\frac{5}{13},-\frac{26}{75},\) and \(\frac{5}{8} ?\)

3 step solution

Problem 106

Place the correct symbol, \(<,=,\) or \(>,\) between the two numbers. $$|-8| \quad|3|$$

2 step solution

Problem 106

Evaluate the expression for the given values of the variables. Is 20 a solution of the equation \(\frac{m}{-2}=-10 ?\)

3 step solution

Problem 107

Simplify. $$-4-3-2$$

3 step solution

Problem 107

What is \(-\frac{15}{24}\) divided by \(\frac{3}{5} ?\)

3 step solution

Problem 107

Place the correct symbol, \(<,=,\) or \(>,\) between the two numbers. $$|-1| \quad|-17|$$

3 step solution

Problem 107

Evaluate the expression for the given values of the variables. Is 18 a solution of the equation \(6=\frac{-c}{-3} ?\)

3 step solution

Problem 108

Simplify. $$4-5-12$$

3 step solution

Problem 108

What is \(\frac{5}{6}\) divided by \(-\frac{10}{21} ?\)

3 step solution

Problem 108

Is 0 a solution of the equation \(0=\frac{a}{-4} ?\)

3 step solution

Problem 109

Simplify. $$12-(-7)-8$$

3 step solution

Problem 109

Find the product of \(2.7,-16,\) and 3.04

2 step solution

Problem 109

Place the correct symbol, \(<,=,\) or \(>,\) between the two numbers. $$|x| \quad|-x|$$

3 step solution

Problem 109

Is \(-3\) a solution of the equation \(\frac{21}{n}=7 ?\)

3 step solution

Problem 110

Simplify. $$-12-(-3)-(-15)$$

3 step solution

Problem 110

What is the product of \(0.06,-0.4,\) and \(-1.5 ?\)

3 step solution

Problem 110

Write the given numbers in order from smallest to largest. $$|-8|,-(-3),|2|,-|-5|$$

2 step solution

Problem 110

Is \(-6\) a solution of the equation \(\frac{x}{2}=\frac{-18}{x} ?\)

2 step solution

Problem 111

Simplify. $$4-12-(-8)$$

3 step solution

Problem 111

Find the quotient of \(-19.04\) and \(0.75 .\) Round to the nearest tenth.

2 step solution

Problem 111

Write the given numbers in order from smallest to largest. $$-|6|,-(4),|-7|,-(-9)$$

2 step solution

Problem 111

Is 8 a solution of the equation \(\frac{m}{-4}=\frac{-16}{m} ?\)

3 step solution

Problem 112

Simplify. $$-30-(-65)-29-4$$

2 step solution

Problem 112

What is \(-13.97\) divided by \(28.4 ?\) Round to the nearest tenth.

2 step solution

Problem 112

Write the given numbers in order from smallest to largest. $$-(-1),|-6|,|0|,-|3|$$

2 step solution

Problem 113

Simplify. $$-16-47-63-12$$

2 step solution

Problem 113

Evaluate the expression \(x y\) for the given values of \(x\) and \(y.\) $$x=-49, y=\frac{5}{14}$$

2 step solution

Problem 113

Write the given numbers in order from smallest to largest. $$-|-7|,-9,-(5),|4|$$

2 step solution

Problem 113

State whether the expression is equivalent to \(\frac{a}{b}\) or \(-\frac{a}{b}\) Assume that \(a\) and \(b\) are nonzero integers. $$-\frac{-a}{b}$$

3 step solution

Problem 114

Simplify. $$42-(-30)-65-(-11)$$

2 step solution

Problem 114

Evaluate the expression \(x y\) for the given values of \(x\) and \(y.\) $$x=-\frac{3}{10}, y=-35$$

2 step solution

Problem 114

Write the given numbers in order from smallest to largest. $$-|2|,-(-8), 6,|1|,-7$$

3 step solution

Problem 114

State whether the expression is equivalent to \(\frac{a}{b}\) or \(-\frac{a}{b}\) Assume that \(a\) and \(b\) are nonzero integers. $$(-a) \div(-b)$$

3 step solution

Problem 115

Simplify. $$12-(-6)+8$$

3 step solution

Problem 115

Evaluate the expression \(x y\) for the given values of \(x\) and \(y.\) $$x=1 \frac{3}{13}, y=-6 \frac{1}{2}$$

3 step solution

Problem 115

Write the given numbers in order from smallest to largest. $$-(-3),-|-8|,|5|,-|10|,-(-2)$$

3 step solution

Problem 115

State whether the expression is equivalent to \(\frac{a}{b}\) or \(-\frac{a}{b}\) Assume that \(a\) and \(b\) are nonzero integers. $$-\frac{-a}{-b}$$

2 step solution

Problem 116

Simplify. $$-7+9-(-3)$$

3 step solution

Problem 116

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

3 step solution

Problem 116

Determine whether each statement is always true, never true, or sometimes true. a. The absolute value of a negative number \(n\) is greater than \(n .\) b. The absolute value of a number \(n\) is the opposite of \(n .\)

2 step solution

Problem 116

The combined scores of the top five golfers in a tournament equaled \(-10\) (10 under par). What was the average score of the five golfers? (THE IMAGES CANNOT COPY)

3 step solution

Problem 117

Simplify. $$-8-(-14)+7$$

2 step solution

Problem 117

Evaluate the expression for the given values of the variables. $$10 t, \text { when } t=-4.8$$

3 step solution

Problem 117

The combined scores of the top four golfers in a tournament equaled \(-12\) (12 under par). What was the average score of the four golfers? (THE IMAGES CANNOT COPY)

3 step solution

Problem 118

Simplify. $$-4+6-8-2$$

2 step solution

Problem 118

Evaluate the expression for the given values of the variables. \(a b,\) when \(a=452\) and \(b=-0.86\)

2 step solution

Problem 118

Rocketry Which is closer to blastoff, - 12 min and counting or \(-17\) min and counting?

2 step solution

Problem 119

Simplify. $$9-12+0-5$$

3 step solution

Problem 119

Evaluate the expression \(x \div y\) for the given values of \(x\) and \(y.\) $$x=6 \frac{2}{5}, y=-4$$

3 step solution

Problem 119

Business Some businesses show a profit as a positive number and a loss as a negative number. During the first quarter of this year, the loss experienced by a company was recorded as \(-12,575 .\) During the second quarter of this year, the loss experienced by the company was \(-11,350 .\) During which quarter was the loss greater?

3 step solution

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