Chapter 1

Find all integer factors of each number. 40

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ \frac{5}{8}\left(\frac{8}{5}\right)=1 $$

Find each sum. $$ -12.5+21.3 $$

Find all integer factors of each number. 50

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 1.75+0=1.75 $$

Find each sum. $$ -2.34+(-3.67) $$

Use a signed number to express each number in boldface italics. On Friday, November \(10,2017,\) the Dow Jones Industrial Average (DJIA) closed at 23,422.21 . On the previous day it had closed at \(23,461.94 .\) Thus, on Friday, it closed down 39.73 points. (Data from The Wall Street Journal.)

The value of an expression was found incorrectly as follows. $$\begin{aligned}8+2 \cdot 3 \\\=& 10 \cdot 3 \\\=& 30\end{aligned}$$ Find the correct value of the expression.

Find all integer factors of each number. 31

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ -8.45+0=-8.45 $$

Find each sum. $$ -1.25+(-6.88) $$

Use a signed number to express each number in boldface italics. On Wednesday, November \(8,2017,\) the NASDAQ closed at \(6789.12 .\) On the previous day, it had closed at 6767.78 . Thus, on Wednesday, it closed up 21.34 points. (Data from Wall Street Joumal.)

In each term, give the numerical coefficient. 15

The value of an expression was found incorrectly as follows. $$\begin{aligned}16 &-2^{3}+5 \\\&=16-6+5 \\\&=10+5 \\\&=15\end{aligned}$$ Find the correct value of the expression.

Find all integer factors of each number. 17

Find each sum. $$ 4+[13+(-5)] $$

Graph each number on a number line. 0,3,-5,-6

Identify each group of terms as like or unlike. \(8 r,-13 r\)

Find each quotient. \(\frac{15}{5}\)

Find each sum. $$ 6+[12+(-3)] $$

Graph each number on a number line. 2,6,-2,-1

Identify each group of terms as like or unlike. \(-7 x, 12 x\)

Find each quotient. \(\frac{35}{5}\)

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 2(x+y)=2 x+2 y $$

Find each sum. $$ 6+[12+(-3)] $$

Graph each number on a number line. -2,-6,-4,3,4

Find each quotient. \(\frac{-42}{6}\)

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 9(t+s)=9 t+9 s $$

Find each sum. $$ 12+[-3+(-4)] $$

Graph each number on a number line. -5,-3,-2,0,4

Identify each group of terms as like or unlike. \(8 x^{5},-10 x^{3}\)

Find each quotient. \(\frac{-28}{7}\)

Find each sum. $$ -2+[5+(-1)] $$

Graph each number on a number line. \(\frac{1}{4}, 2 \frac{1}{2},-3.8,-4,-1 \frac{5}{8}\)

Find each quotient. \(\frac{-32}{-4}\)

Find each sum. $$ -8+[9+(-2)] $$

Graph each number on a number line. \(5.25,4 \frac{5}{9},-2 \frac{1}{3}, 0,-3 \frac{2}{5}\)

Find each quotient. \(\frac{-35}{-5}\)

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 4(2 x)+4(3 y)=4(2 x+3 y) $$

Find each sum. $$ -6+[6+(-9)] $$

Identify each group of terms as like or unlike. \(x, y\)

41-54 Write each word phrase as an algebraic expression, using \(x\) as the variable. Twelve times a number

Find each quotient. \(\frac{96}{-16}\)

Decide whether each statement is an example of a commutative, an associative, an identity, \(a n\) inverse, or the distributive property. $$ 6(5 t)-6(7 r)=6(5 t-7 r) $$

Find each sum. $$ -3+[3+(-8)] $$

List all numbers from each set that are the following. (a) natural numbers (b) whole numbers (c) integers (d) rational numbers (e) irrational numbers (f) real numbers \(\left\\{-5.3,-5,-\sqrt{3},-1,-\frac{1}{9}, 0,0 . \overline{27}, 1.2,3, \sqrt{11}\right\\}\)

Identify each group of terms as like or unlike. \(t, s\)

Find each quotient. \(\frac{38}{-19}\)

Find each sum or product. $$ 97+13+3+37 $$

Find each sum. $$ [(-9)+(-3)]+12 $$