Chapter 1

Simplify each expression by combining any like terms. $$ 0.4 y-6.7+y-0.3-2.6 y $$

Evaluate \(-0.8^{2}\)

Rewrite each inequality so that the inequality symbol points in the opposite direction and the resulting statement has the same meaning as the given one. $$ 5>3 $$

Subtract. \(-2.6-(-6.7)\)

Simplify each expression. $$ 18 \div 3 \cdot 2 $$

Add. See Examples 1 through 12,18, and 19. $$ -33+(-14) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ 5(y+4) $$

Find each reciprocal. \(\frac{2}{3}\)

Rewrite each inequality so that the inequality symbol points in the opposite direction and the resulting statement has the same meaning as the given one. $$ -10>-12 $$

Subtract. \(-6.1-(-5.3)\)

Simplify each expression. $$ 48 \div 6 \cdot 2 $$

Add. See Examples 1 through 12,18, and 19. $$ -18+(-26) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ 7(r+3) $$

Find each reciprocal. \(\frac{1}{7}\)

Rewrite each inequality so that the inequality symbol points in the opposite direction and the resulting statement has the same meaning as the given one. $$ -4<-2 $$

Subtract. \(\frac{1}{2}-\frac{2}{3} \quad\)

Simplify each expression. $$ 2+(5-2)+4^{2} $$

Add. See Examples 1 through 12,18, and 19. $$ 6.3+(-8.4) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -2(x+2) $$

Find each reciprocal. -14

Use the commutative and associative properties to simplify each expression. See Examples 5 and 6. $$ \frac{3}{4}\left(\frac{4}{3} s\right) $$

Subtract. \(\frac{3}{4}-\frac{7}{8} \quad\)

Simplify each expression. $$ 6-2 \cdot 2+2^{5} $$

Add. See Examples 1 through 12,18, and 19. $$ 9.2+(-11.4) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -4(y+6) $$

Find each reciprocal. -8

Write each sentence as a mathematical statement. Twenty is greater than two.

Subtract. \(-\frac{1}{6}-\frac{3}{4} \quad\)

Simplify each expression. $$ 5 \cdot 3^{2} $$

Add. See Examples 1 through 12,18, and 19. $$ 117+(-79) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -5(2 x-3 y+6) $$

Find each reciprocal. \(-\frac{3}{11}\)

Write each sentence as a mathematical statement. Five is greater than or equal to four.

Use the commutative and associative properties to simplify each expression. See Examples 5 and 6. $$ -\frac{1}{2}(5 x) $$

Subtract. \(-\frac{1}{10}-\frac{7}{8}\)

Simplify each expression. $$ 2 \cdot 5^{2} $$

Add. See Examples 1 through 12,18, and 19. $$ 144+(-88) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -2(4 x-3 z-1) $$

Find each reciprocal. \(-\frac{6}{13}\)

Write each sentence as a mathematical statement. Negative ten is less than or equal to thirty-seven

Subtract. 3-(-0.62)$

Simplify each expression. $$ \frac{1}{4} \cdot \frac{2}{3}-\frac{1}{6} $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -(3 x-2 y+1) $$

Find each reciprocal. 0.2

Write each sentence as a mathematical statement. Fifteen is not equal to negative two.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 4(x+y) $$

Subtract. \(4.3-(-0.87)\)

Simplify each expression. $$ \frac{3}{4} \cdot \frac{1}{2}+\frac{2}{3} $$

Add. See Examples 1 through 12,18, and 19. $$ -6.7+(-7.6) $$

Simplify each expression. Use the distributive property to remove any parentheses. $$ -(y+5 z-7) $$