Chapter 2

Discuss the difference between \((6 x)^{4}\) and \(6 x^{4}\).

In Exercises 89-96, evaluate the expression. $$ \frac{-144}{-12} $$

Describe and correct the error. $$ \begin{aligned} 4 x-3(x-1) &=4 x-3(x)-3(1) \\ & \Rightarrow 4 x-3 x-3 \\ &=x-3 \end{aligned} $$

In Exercises 89-96, evaluate the expression. $$ 5(-7) $$

In Exercises 97-102, evaluate the expression. $$ 0-(-12) $$

In Exercises 97-100, identify the property of real numbers illustrated by the statement. $$ 3(4)=4(3) $$

In Exercises 97-102, evaluate the expression. $$ 5-4 \div 2+6 $$

In Exercises 97-100, identify the property of real numbers illustrated by the statement. $$ 10-10=0 $$

In Exercises 97-102, evaluate the expression. $$ -12-2+|-3| $$

In Exercises 97-100, identify the property of real numbers illustrated by the statement. $$ 3(6+2)=3 \cdot 6+3 \cdot 2 $$

In Exercises 97-102, evaluate the expression. $$ 6+3(4+2) $$

In Exercises 97-100, identify the property of real numbers illustrated by the statement. $$ 7+(8+5)=(7+8)+5 $$

In Exercises 97-102, evaluate the expression. $$ \frac{5}{16}-\frac{3}{10} $$

$$ \frac{9}{16}+2 \frac{3}{12} $$

In Exercises 103 and 104, evaluate the algebraic expression for the given values of the variable. $$ 3 x-2 $$ (a) \(x=2\) (b) \(x=-1\)

In Exercises 103 and 104, evaluate the algebraic expression for the given values of the variable. \(2 x^{2}+3\) (a) \(x=3\) (b) \(x=-4\)