Chapter 2

Evaluate the expression. $$ [(12 \cdot 9) \div 6]-13.5 $$

Find the sum. $$3 \frac{2}{7}+4 \frac{1}{2}$$

Find the terms of the expression. $$-7+4 x$$

Evaluate the expression. $$12-9+7$$

LOGICAL REASONING Your friend does not understand how the product of \(a\) and \((b+c)\) is given by both \(a b+a c\) and \(b a+c a\) Use the properties of multiplication to write a convincing argument to show your friend that both statements are correct.

Find the sum. $$1 \frac{7}{9}+4 \frac{3}{7}$$

Find the terms of the expression. $$m-2 n-t^{2}$$

Evaluate the expression. $$42 \div 6+8$$

RECIPROCALS Find the reciprocal. $$ \frac{2}{7} $$

Evaluate the expression for the given value(s) of the variable(s). \(5 x+3\) when \(x=2\)

Find the terms of the expression. $$c^{2}-3 c-4$$

Evaluate the expression. $$2(11-7) \div 3$$

RECIPROCALS Find the reciprocal. $$ \frac{6}{11} $$

Evaluate the expression for the given value(s) of the variable(s). \(2 a-7\) when \(a=6\)

Find the terms of the expression. $$y+6-8 x$$

Evaluate the expression. $$8+(91 \div 13) \cdot \frac{4}{7}$$

RECIPROCALS Find the reciprocal. $$ 7 $$

Evaluate the expression for the given value(s) of the variable(s). $$3 y+12 \text { when } y=0$$

Find the terms of the expression. $$-9 a^{2}+4-2 a^{3}$$

Evaluate the expression. $$\frac{3}{4} \cdot 8-6$$

RECIPROCALS Find the reciprocal. $$ 1 $$

Evaluate the expression for the given value(s) of the variable(s). $$6 b-39+c \text { when } b=15 \text { and } c=2$$

In 1997 the federal government reported a budget deficit of \(\$ 21.9\) billion. In 1998 the deficit was \(\$ 10\) billion. What was the change in the deficit? \(\Rightarrow\) Source: U.S. Office of Management and Budget.

Evaluate the expression. $$23-\left[(12 \div 3)^{2}+8\right]$$

RECIPROCALS Find the reciprocal. $$ \frac{1}{121} $$

Evaluate the expression for the given value(s) of the variable(s). $$\frac{5}{6} a-b \text { when } a=6 \text { and } b=5$$

Evaluate the expression. $$11 \cdot(-5)+20$$

RECIPROCALS Find the reciprocal. $$ 435 $$

Evaluate the expression for the given value(s) of the variable(s). $$\frac{x}{5}-2 y \text { when } x=12 \text { and } y=\frac{4}{5}$$

Evaluate the expression. $$-8 \cdot(-9)-80$$

RECIPROCALS Find the reciprocal. $$ 4 \frac{1}{2} $$

Write the verbal sentence as an equation or an inequality. Five less than \(z\) is eight.

Evaluate the expression. $$-16+(-6) \cdot(-8)$$

RECIPROCALS Find the reciprocal. $$ 3 \frac{3}{8} $$

Write the verbal sentence as an equation or an inequality. Eight more than \(r\) is seventeen.

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{10 \cdot 8}{4^{2}+4} $$

Write the verbal sentence as an equation or an inequality. Nine more than three fourths of \(y\) is less than six times \(w\)n.

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{6^{2}-12}{3^{2}+15} $$

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{75-5^{2}}{11+(3 \cdot 4)} $$

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{(3 \cdot 7)+9}{2^{3}+5-3} $$

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{(2+5)^{2}}{3^{2}-2} $$

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{6+7^{2}}{3^{3}-9-7} $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ 6-(-8)-11 $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ 4-8-3 $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ 6+(-13)+(-5) $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ -7+9-8 $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ 20+(-16)+(-3) $$

EVALUATING EXPRESSIONS Evaluate the expression. $$ 12.4-9.7-(-6.1) $$