Chapter 1
Beginning and Intermediate Algebra · 520 exercises
Problem 19
Find each product. \(-0.5(0)\)
2 step solution
Problem 20
Use a commutative or an associative property to complete each statement. State which property is used. \((-2+3)+6=-2+\)( ___ +6)
5 step solution
Problem 20
Find each sum. $$ -13+6 $$
5 step solution
Problem 20
In each term, give the numerical coefficient. \(-11 y\)
3 step solution
Problem 20
Determine whether each statement is true or false. Every rational number is a real number.
4 step solution
Problem 20
Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(\frac{4 x-1}{3 x}\)
9 step solution
Problem 20
Find each product. \(-0.3(0)\)
2 step solution
Problem 21
Use a commutative or an associative property to complete each statement. State which property is used. \(7 \cdot(2 \cdot 5)=(\) ____ \(\cdot 2) \cdot 5\)
5 step solution
Problem 21
Find each sum. $$ 6+(-6) $$
4 step solution
Problem 21
In each term, give the numerical coefficient. \(3 \mathrm{~m}^{2}\)
2 step solution
Problem 21
Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(3 x^{2}+x\)
4 step solution
Problem 22
Use a commutative or an associative property to complete each statement. State which property is used. \(8 \cdot(6 \cdot 4)=(8\) _____ ) \(\cdot 4\)
5 step solution
Problem 22
Find each sum. $$ -11+11 $$
4 step solution
Problem 22
In each term, give the numerical coefficient. \(9 n^{6}\)
3 step solution
Problem 22
Determine whether each statement is true or false. Every terminating decimal is a rational number.
5 step solution
Problem 22
Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(2 x+x^{2}\)
4 step solution
Problem 22
Find each product. \(-4.6(0.24)\)
4 step solution
Problem 23
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 4+15=15+4 $$
4 step solution
Problem 23
Find each sum. $$ -\frac{1}{3}+\left(-\frac{4}{15}\right) $$
4 step solution
Problem 23
Give three numbers between -6 and 6 that satisfy each given condition. Positive real numbers but not integers
4 step solution
Problem 23
Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(6.459 x\)
4 step solution
Problem 23
Find each product. \(-\frac{3}{8}\left(-\frac{20}{9}\right)\)
4 step solution
Problem 24
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 3+12=12+3 $$
5 step solution
Problem 24
Find each sum. $$ -\frac{1}{4}+\left(-\frac{5}{12}\right) $$
4 step solution
Problem 24
In each term, give the numerical coefficient. \(p q\)
3 step solution
Problem 24
Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(3.275 x\)
5 step solution
Problem 25
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 5 \cdot(13 \cdot 7)=(5 \cdot 13) \cdot 7 $$
3 step solution
Problem 25
Find each sum. $$ -\frac{1}{6}+\frac{2}{3} $$
4 step solution
Problem 25
In each term, give the numerical coefficient. \(p q\)
3 step solution
Problem 25
Give three numbers between -6 and 6 that satisfy each given condition. Real numbers but not whole numbers
4 step solution
Problem 26
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ -4 \cdot(2 \cdot 6)=(-4 \cdot 2) \cdot 6 $$
4 step solution
Problem 26
Find each sum. $$ -\frac{6}{25}+\frac{19}{20} $$
6 step solution
Problem 26
In each term, give the numerical coefficient. \(-t\)
3 step solution
Problem 26
Find each product. \(\frac{3}{7}\left(-1 \frac{5}{9}\right)\)
3 step solution
Problem 27
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ -6+(12+7)=(-6+12)+7 $$
4 step solution
Problem 27
Find each sum. $$ \frac{5}{8}+\left(-\frac{17}{12}\right) $$
4 step solution
Problem 28
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ \text { 3. }(-8+13)+2=-8+(13+2) $$
5 step solution
Problem 28
Find each sum. $$ \frac{9}{10}+\left(-\frac{11}{8}\right) $$
4 step solution
Problem 28
Give three numbers between -6 and 6 that satisfy each given condition. Rational numbers but not negative numbers
5 step solution
Problem 29
Find each sum. $$ \frac{9}{10}+\left(-\frac{11}{8}\right) $$
4 step solution
Problem 29
Use a signed number to express each number in boldface italics. Between July \(1,2016,\) and July \(1,2017,\) the population of the United States increased by approximately \(2,216,602 .\) (Data from U.S. Census Bureau.)
2 step solution
Problem 29
In each term, give the numerical coefficient. \(\frac{2 x}{5}\)
3 step solution
Problem 29
Find all integer factors of each number. 32
4 step solution
Problem 30
Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 1+(-1)=0 $$
3 step solution
Problem 30
Find each sum. $$ 1 \frac{3}{8}+\left(-2 \frac{1}{4}\right) $$
5 step solution
Problem 30
Use a signed number to express each number in boldface italics. Between 2015 and \(2016,\) the number of movie screens in the United States increased by 218 . (Data from Motion Picture Association of America.)
3 step solution
Problem 30
In each term, give the numerical coefficient. \(\frac{8 x}{9}\)
3 step solution
Problem 30
Find all integer factors of each number. 36
6 step solution
Problem 31
Find each sum. $$ -3.5+12.4 $$
3 step solution
Problem 31
In each term, give the numerical coefficient. \(-0.5 x^{3}\)
3 step solution