Chapter 1

Introductory and Intermediate Algebra for College Students 4th · 888 exercises

Problem 52

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

3 step solution

Problem 52

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

3 step solution

Problem 53

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

3 step solution

Problem 53

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{0}{-7}$$

3 step solution

Problem 53

Use the order of operations to simplify each expression. $$\frac{10+8}{5^{2}-4^{2}}$$

4 step solution

Problem 53

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

3 step solution

Problem 53

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

3 step solution

Problem 53

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

3 step solution

Problem 53

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

3 step solution

Problem 53

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

4 step solution

Problem 54

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

2 step solution

Problem 54

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{0}{-8}$$

4 step solution

Problem 54

Use the order of operations to simplify each expression. $$\frac{6^{2}-4^{2}}{2-(-8)}$$

3 step solution

Problem 54

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

2 step solution

Problem 54

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

2 step solution

Problem 54

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

3 step solution

Problem 54

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

3 step solution

Problem 54

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

3 step solution

Problem 55

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{7}{0}$$

3 step solution

Problem 55

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

3 step solution

Problem 55

Use the order of operations to simplify each expression. $$\frac{37+15 \div(-3)}{2^{4}}$$

5 step solution

Problem 55

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

3 step solution

Problem 55

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

3 step solution

Problem 55

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

3 step solution

Problem 55

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

4 step solution

Problem 55

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

3 step solution

Problem 56

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$\frac{-8}{0}$$

3 step solution

Problem 56

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

3 step solution

Problem 56

Use the order of operations to simplify each expression. $$\frac{22+20 \div(-5)}{3^{2}}$$

4 step solution

Problem 56

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

2 step solution

Problem 56

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

3 step solution

Problem 56

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

2 step solution

Problem 56

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

3 step solution

Problem 56

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

4 step solution

Problem 57

In Exercises \(47-76\), perform the indicated division or state that the expression is undefined. $$-15 \div 3$$

2 step solution

Problem 57

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

3 step solution

Problem 57

Use the order of operations to simplify each expression. $$\frac{(-11)(-4)+2(-7)}{7-(-3)}$$

4 step solution

Problem 57

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

3 step solution

Problem 57

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\sqrt{2} \quad\square\quad 1.5$$

2 step solution

Problem 57

Simplify each series of additions and subtractions. $$-10-(-5)+7-2\( is \)-6-(-3)+8-11$$

3 step solution

Problem 57

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

3 step solution

Problem 57

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

3 step solution

Problem 58

In Exercises 47-76, perform the indicated division or state that the expression is undefined. $$ -80 \div 8 $$

2 step solution

Problem 58

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

3 step solution

Problem 58

Use the order of operations to simplify each expression. $$\frac{-5(7-2)-3(4-7)}{-13-(-5)}$$

4 step solution

Problem 58

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

3 step solution

Problem 58

Insert either \(<\) or \(>\) in the shaded area between each pair of numbers to make a true statement. $$\sqrt{3}\quad\square\quad2$$

3 step solution

Problem 58

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

3 step solution

Problem 58

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

4 step solution

Problem 58

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

3 step solution

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