Chapter 1

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$5(3 x-2+4 y)$$

Find each sum without the use of a number line. $$3.5+(-45)+(-8.4)+72$$

Determine whether the given number is a solution of the equation. $$30-y=10 ; 20$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\frac{1}{2} \square 2$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$9 \cdot \frac{4}{7}$$

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

A. Rewrite the division as multiplication involving a multiplicative inverse. B. Use the multiplication from part (a) to find the given quotient. $$\frac{-30}{-5}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$-3(-6+8)^{3}-5(-3+5)^{3}$$

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

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$4 \square -3$$

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

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. $$8 \cdot \frac{3}{7}$$

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

Perform the indicated division or state that the expression is undefined. $$\frac{12}{-4}$$

In Exercises \(29-72,\) 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. $$3 \square -\frac{5}{2}$$

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

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. $$\frac{1}{10} \cdot \frac{5}{6}$$

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

Perform the indicated division or state that the expression is undefined. $$\frac{40}{-5}$$

In Exercises \(29-72,\) 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. $$3 \square -\frac{3}{2}$$

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

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. $$\frac{1}{8} \cdot \frac{2}{3}$$

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

Perform the indicated division or state that the expression is undefined. $$\frac{-21}{3}$$

In Exercises \(29-72,\) 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. $$-4 \square-6$$

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

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. $$\frac{5}{4} \cdot \frac{6}{7}$$

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

Perform the indicated division or state that the expression is undefined. $$\frac{-60}{6}$$

In Exercises \(29-72,\) 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. $$-\frac{5}{2} \square-\frac{5}{3}$$

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

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

Perform the indicated division or state that the expression is undefined. $$\frac{-90}{-3}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\left[7+3\left(2^{3}-1\right)\right] \div 21$$

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

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