Chapter 1

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

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 series of additions and subtractions. $$14-3-(-7)$$

Perform the indicated division or state that the expression is undefined. $$\frac{-66}{-6}$$

In Exercises \(29-72,\) 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. $$-1.25 \square-0.5$$

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

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\left(2 \frac{4}{5}\right)\left(1 \frac{1}{4}\right)$$

Simplify each series of additions and subtractions. $$9-8+3-7$$

Perform the indicated division or state that the expression is undefined. $$\frac{0}{-7}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{10+8}{5^{2}-4^{2}}$$

Simplify each algebraic expression. $$5 y+3+6 y$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-\frac{3}{4}\square-\frac{5}{4}$$

Determine whether the given number is a solution of the equation. $$5 a-4=2 a+5 ; 3$$

Simplify each algebraic expression. $$4 y+(-13 z)+(-10 y)+17 z$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \div \frac{4}{3}$$

Simplify each series of additions and subtractions. $$8-2+5-13$$

Perform the indicated division or state that the expression is undefined. $$\frac{0}{-8}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{6^{2}-4^{2}}{2-(-8)}$$

Simplify each algebraic expression. $$8 y+7+10 y$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$0 \square-\frac{1}{2}$$

Determine whether the given number is a solution of the equation. $$5 a-3=2 a+6 ; 3$$

Simplify each algebraic expression. $$5 y+(-11 z)+(-15 y)+20 z$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{8} \div \frac{2}{3}$$

Simplify each series of additions and subtractions. $$-6-2+3-10$$

Perform the indicated division or state that the expression is undefined. $$\frac{7}{0}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{37+15 \div(-3)}{2^{4}}$$

Simplify each algebraic expression. $$2 x+5+7 x-4$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-4.5 \square 3$$

Determine whether the given number is a solution of the equation. $$6(p-4)=3 p ; 8$$

Simplify each algebraic expression. $$-7 b+10+(-b)+(-6)$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{18}{5} \div 2$$

Simplify each series of additions and subtractions. $$-9-5+4-17$$

Perform the indicated division or state that the expression is undefined. $$\frac{-8}{0}$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{22+20 \div(-5)}{3^{2}}$$

Simplify each algebraic expression. $$7 x+8+2 x-3$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$-5.5 \square 2.5$$

Determine whether the given number is a solution of the equation. $$4(p+3)=6 p ; 6$$

Simplify each algebraic expression. $$-10 b+13+(-b)+(-4)$$

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

Simplify each series of additions and subtractions. $$-10-(-5)+7-2$$

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\sqrt{2}\square1.5$$

Perform the indicated division or state that the expression is undefined. $$-15 \div 3$$

In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\frac{(-11)(-4)+2(-7)}{7-(-3)}$$

Simplify each algebraic expression. $$11 a+12+3 a+2$$

Determine whether the given number is a solution of the equation. $$2(w+1)=3(w-1) ; 7$$

Simplify each algebraic expression. $$7 x+(-5 y)+(-9 x)+19 y$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$2 \div \frac{18}{5}$$

Simplify each series of additions and subtractions. $$-6-(-3)+8-11$$