Chapter 1

Find each sum without the use of a number line. $$6.4+(-35)+(-2.6)+14$$

In Exercises \(43-46\) a. Rewrite the division as multiplication involving a multiplicative inverse. b. Use the multiplication from part ( \(a\) ) to find the given quotient. $$\frac{-30}{-5}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(5 x-3+7 y)$$

Perform the indicated subtraction. $$-3.47-(-3.47)$$

Determine whether the given number is a solution of the equation. $$50-y=20 ; 30$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$8 \cdot \frac{3}{7}$$

Simplify each algebraic expression. $$-10 x+2 x$$

In Exercises \(47-76,\) perform the indicated division or state that the expression is undefined. $$\frac{12}{-4}$$

Use the order of operations to simplify each expression. $$[2(6-2)]^{2}$$

Simplify each algebraic expression. $$7 x+10 x$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$3\quad\square-\frac{5}{2}$$

Perform the indicated subtraction. $$5 \pi-2 \pi$$

Determine whether the given number is a solution of the equation. $$4 z=20 ; 10$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{10} \cdot \frac{5}{6}$$

Simplify each algebraic expression. $$-19 x+10 x$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined.. $$\frac{40}{-5}$$

Use the order of operations to simplify each expression. $$[3(4-6)]^{3}$$

Simplify each algebraic expression. $$5 x+13 x$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$3\quad\square\quad\frac{3}{2}$$

Perform the indicated subtraction. $$9 \pi-7 \pi$$

Determine whether the given number is a solution of the equation. $$5 z=30 ; 8$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{8} \cdot \frac{2}{3}$$

Simplify each algebraic expression. $$25 y+(-12 y)$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{-21}{3}$$

Use the order of operations to simplify each expression. $$2[5+2(9-4)]$$

Simplify each algebraic expression. $$11 a-3 a$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-4 \quad\square -6$$

Perform the indicated subtraction. $$3 \pi-(-10 \pi)$$

Determine whether the given number is a solution of the equation. $$\frac{r}{6}=8 ; 48$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \cdot \frac{6}{7}$$

Simplify each algebraic expression. $$26 y+(-14 y)$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{-60}{6}$$

Use the order of operations to simplify each expression. $$3[4+3(10-8)]$$

Simplify each algebraic expression. $$14 b-5 b$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-\frac{5}{2} \quad\square-\frac{5}{3}$$

Perform the indicated subtraction. $$4 \pi-(-12 \pi)$$

Determine whether the given number is a solution of the equation. $$\frac{r}{9}=7 ; 63$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{4} \cdot \frac{6}{11}$$

Simplify each algebraic expression. $$-8 a+(-15 a)$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{-90}{-3}$$

Use the order of operations to simplify each expression. $$\left[7+3\left(2^{3}-1\right)\right] \div 21$$

Simplify each algebraic expression. $$3+(x+11)$$

Simplify each series of additions and subtractions. $$13-2-(-8)$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-2.5\quad\square \quad 1.5$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\left(3 \frac{3}{4}\right)\left(1 \frac{3}{5}\right)$$

Simplify each algebraic expression. $$-9 a+(-13 a)$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{-66}{-6}$$

Use the order of operations to simplify each expression. $$\left[11-4\left(2-3^{3}\right)\right] \div 37$$

Simplify each algebraic expression. $$7+(x+10)$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-1.25\quad\square-0.5$$