Chapter 1

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\sqrt{3}\square2$$

Perform the indicated division or state that the expression is undefined. $$-80 \div 8$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{-5(7-2)-3(4-7)}{-13-(-5)}$$

Simplify each algebraic expression. $$13 a+15+2 a+11$$

Determine whether the given number is a solution of the equation. $$3(w+2)=4(w-3) ; 10$$

Simplify each algebraic expression. $$13 x+(-9 y)+(-17 x)+20 y$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$3 \div \frac{12}{7}$$

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

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$0 . \overline{3}\square0.3$$

Perform the indicated division or state that the expression is undefined. $$120 \div(-10)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$4|10-(8-20)|$$

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

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

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

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

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

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$0.6\square0 . \overline{6}$$

Perform the indicated division or state that the expression is undefined. $$130 \div(-10)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$6|7-4 \cdot 3|$$

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

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

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

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

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

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

Perform the indicated division or state that the expression is undefined. $$(-180) \div(-30)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$8(-10)+|4(-5)|$$

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

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

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

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

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

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

Perform the indicated division or state that the expression is undefined. $$(-150) \div(-25)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$4(-15)+|3(-10)|$$

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

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

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

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

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

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

Perform the indicated division or state that the expression is undefined. $$0 \div(-4)$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$-2^{2}+4[16 \div(3-5)]$$

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

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

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

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

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

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

Perform the indicated division or state that the expression is undefined. $$0 \div(-10)$$