Chapter 1

Simplify each expression. 5+2(x-3 y)$

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(4 x\)

Find each product. \(-7(4)\)

For each expression, label the order in which the operations should be performed. Do not actually perform them. $$ 3 \cdot 5-2(4+2) $$

Find each sum. $$ -9+(-2) $$

Evaluate the following expressions. $$180 \div(15 \div 3) \text { and }(180 \div 15) \div 3$$ Does it appear that division is associative?

Simplify each expression. \(8+3(s-6 t)\)

Give a number that satisfies the given condition. A rational number between 2.8 and 2.9

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(6 x\)

Find each product. \(-8(5)\)

For each expression, label the order in which the operations should be performed. Do not actually perform them. $$ 9-2^{3}+3 \cdot 4 $$

Complete the table and each statement beside it. $$\begin{array}{|r|l|l|}\hline \text { Number } & \text { Additive Inverse } & \text { Multiplicative Inverse } \\\\\hline 5 & & \\\\\hline-10 & & \\\\\hline-\frac{1}{2} & & \\\\\hline \frac{3}{8} & & \\\\\hline x & & (x \neq 0)\\\\\hline-y & & (y \neq 0)\\\ \hline \end{array}$$ A number and its additive inverse have (the same/opposite) signs. A number and its multiplicative inverse have (the same / opposite) signs.

Find each sum. $$ -5+(-7) $$

Simplify each expression. \(8+4(3 x+6)\)

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(5 x-4\)

Find each product. \(-5(-6)\)

The following conversation took place between one of the authors of this text and his sor Jack, when Jack was 4 years old. DADDY: "Jack, what is \(3+0 ? "\) JACK: \(\quad\) "3." DADDY: "Jack, what is \(4+0 ? "\) JACK: \(\quad\) "4. And Daddy, string plus zero equals string!" What property of addition did Jack recognize?

Find each sum. $$ -11+(-5) $$

Simplify each expression. \(10+5(2 y+7)\)

Give a number that satisfies the given condition. A whole number greater than 3.5

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(7 x-9\)

Find each product. \(-3(-4)\)

Use a commutative or an associative property to complete each statement. State which property is used. $$ -15+9=9+ _____ $$

Find each sum. $$ 6+(-4) $$

Simplify each expression. \(-2-(5-3 p)\)

Give a number that satisfies the given condition. An irrational number that is between \(\sqrt{12}\) and \(\sqrt{14}\)

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(4 x^{2}\)

Find each product. \(-10(-12)\)

Use a commutative or an associative property to complete each statement. State which property is used. \(6+(-2)=-2+\) ____

Find each sum. $$ 11+(-8) $$

Simplify each expression. \(-10-(7-14 r)\)

Give a number that satisfies the given condition. A real number that is neither negative nor positive

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(5 x^{2}\)

Find each product. \(-9(-5)\)

Use a commutative or an associative property to complete each statement. State which property is used. \(-8 \cdot 3=\) ____ \(\cdot(-8)\)

Find each sum. $$ 12+(-15) $$

Simplify each expression. \(6+(4-3 x)-8\)

Determine whether each statement is true or false. Every natural number is positive.

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(\frac{x+1}{3}\)

Find each product. 3(-11)

Use a commutative or an associative property to complete each statement. State which property is used. \(-12 \cdot 4=4\cdot\) _____

Find each sum. $$ 3+(-7) $$

Simplify each expression. \(-12+(7-8 x)+6\)

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(\frac{x+2}{5}\)

Find each product. 3(-15)

Use a commutative or an associative property to complete each statement. State which property is used. \((3+6)+7=3+\)( ____ +7)

Find each sum. $$ -16+7 $$

In each term, give the numerical coefficient. \(-12 k\)

Determine whether each statement is true or false. Every integer is a rational number.

Evaluate each expression for ( \(\boldsymbol{a}\) ) \(x=4\) and \((\boldsymbol{b}) x=6\). \(\frac{3 x-5}{2 x}\)