Chapter 1

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$120 \div(-10)$$

Simplify each algebraic expression. $$8(4 y+3)+(-35 y)$$

Use the order of operations to simplify each expression. $$4|10-(8-20)|$$

Simplify each algebraic expression. $$5(3 x+2)-4$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$0 . \overline{3} \quad\square\quad 0.3$$

Simplify each series of additions and subtractions. $$-23-11-(-7)+(-25)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. Four times a number is 28 .

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{3}{4} \div \frac{1}{4}$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$130 \div(-10)$$

Simplify each algebraic expression. $$7(3 y+5)+(-25 y)$$

Simplify each algebraic expression. $$2(5 x+4)-3$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$0.6\quad\square\quad0 . \overline{6}$$

Simplify each series of additions and subtractions. $$-19-8-(-6)+(-21)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. Five times a number is 35 .

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{3}{7} \div \frac{1}{7}$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$(-180) \div(-30)$$

Find each sum. $$|-3+(-5)|+|2+(-6)|$$

Use the order of operations to simplify each expression. $$8(-10)+|4(-5)|$$

Simplify each algebraic expression. $$12+5(3 x-2)$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-\pi \quad\square\quad-3.5$$

Simplify each series of additions and subtractions. $$-823-146-50-(-832)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. The quotient of 14 and a number is \(\frac{1}{2}\)

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{6} \div \frac{5}{3}$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$(-150) \div(-25)$$

Find each sum. $$|4+(-11)|+|-3+(-4)|$$

Use the order of operations to simplify each expression. $$4(-15)+|3(-10)|$$

Simplify each algebraic expression. $$14+2(5 x-1)$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-\frac{\pi}{2} \quad\square-2.3$$

Simplify each series of additions and subtractions. $$-726-422-921-(-816)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. The quotient of a number and 8 is \(\frac{1}{4}\)

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{4} \div \frac{3}{8}$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$0 \div(-4)$$

Find each sum. $$-20+[-|15+(-25)|]$$

Use the order of operations to simplify each expression. $$-2^{2}+4[16 \div(3-5)]$$

Simplify each algebraic expression. $$7(3 a+2 b)+5(4 a+2 b)$$

Determine whether each inequality is true or false. $$-5 \geq-13$$

Simplify each series of additions and subtractions. $$1-\frac{2}{3}-\left(-\frac{5}{6}\right)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. The difference between 20 and a number is 5 .

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{14} \div \frac{1}{7}$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$0 \div(-10)$$

Find each sum. $$-25+[-|18+(-26)|]$$

Use the order of operations to simplify each expression. $$-3^{2}+2[20 \div(7-11)]$$

Simplify each algebraic expression. $$11(6 a+3 b)+4(12 a+5 b)$$

Determine whether each inequality is true or false. $$-5 \leq-8$$

Simplify each series of additions and subtractions. $$2-\frac{3}{4}-\left(-\frac{7}{8}\right)$$

Write each sentence as an equation. Let the variable \(x\) represent the number. The difference between 40 and a number is 10 .

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{8} \div \frac{1}{4}$$

Insert either \(<,>,\) or \(=\) in the shaded area to make a true statement. $$6+[2+(-13)]\quad\square\quad-3+[4+(-8)]$$

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$-4 \div 0$$

Use the order of operations to simplify each expression. $$24 \div \frac{3^{2}}{8-5}-(-6)$$