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

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