Chapter 1
Introductory and Intermediate Algebra for College Students 4th · 888 exercises
Problem 26
Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$64$$
2 step solution
Problem 27
In Exercises \(1-34,\) perform the indicated multiplication. $$-2(-3)(-4)(-1)$$
3 step solution
Problem 27
Simplify each algebraic expression, or explain why the expression cannot be simplified. $$16 x^{2}-16 x^{2}$$
2 step solution
Problem 27
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$3(x+5)$$
2 step solution
Problem 27
Find each sum without the use of a number line. $$-3.6+2.1$$
3 step solution
Problem 27
Perform the indicated subtraction. $$\frac{3}{7}-\frac{5}{7}$$
3 step solution
Problem 27
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. four less than a number
3 step solution
Problem 27
Express each rational number as a decimal. $$\frac{9}{11}$$
2 step solution
Problem 27
Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$240$$
2 step solution
Problem 28
In Exercises \(1-34,\) perform the indicated multiplication. $$-3(-2)(-5)(-1)$$
3 step solution
Problem 28
Simplify each algebraic expression, or explain why the expression cannot be simplified. $$34 x^{2}-x^{2}$$
3 step solution
Problem 28
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(x+6)$$
3 step solution
Problem 28
Find each sum without the use of a number line. $$-6.3+5.2$$
4 step solution
Problem 28
Perform the indicated subtraction. $$\frac{4}{9}-\frac{7}{9}$$
3 step solution
Problem 28
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. six less than a number
6 step solution
Problem 28
Express each rational number as a decimal. $$\frac{3}{11}$$
2 step solution
Problem 28
Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$360$$
3 step solution
Problem 29
In Exercises \(1-34,\) perform the indicated multiplication. $$(-3)(-3)(-3)$$
4 step solution
Problem 29
Use the order of operations to simplify each expression. $$7+6 \cdot 3$$
3 step solution
Problem 29
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$8(2 x+3)$$
3 step solution
Problem 29
Find each sum without the use of a number line. $$-3.6+(-2.1)$$
3 step solution
Problem 29
Perform the indicated subtraction. $$\frac{1}{5}-\left(-\frac{3}{5}\right)$$
2 step solution
Problem 29
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. the sum of a number and 4
3 step solution
Problem 29
Express each rational number as a decimal. $$-\frac{1}{2}$$
2 step solution
Problem 29
Simplify each fraction by reducing it to its lowest terms. $$\frac{10}{16}$$
3 step solution
Problem 30
In Exercises \(1-34,\) perform the indicated multiplication. $$(-4)(-4)(-4)$$
3 step solution
Problem 30
Use the order of operations to simplify each expression. $$3+4 \cdot 5$$
2 step solution
Problem 30
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$9(2 x+5)$$
2 step solution
Problem 30
Find each sum without the use of a number line. $$-6.3+(-5.2)$$
4 step solution
Problem 30
Perform the indicated subtraction. $$\frac{1}{7}-\left(-\frac{3}{7}\right)$$
3 step solution
Problem 30
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. the sum of a number and 6
3 step solution
Problem 30
Express each rational number as a decimal. $$-\frac{1}{4}$$
3 step solution
Problem 30
Simplify each fraction by reducing it to its lowest terms. $$\frac{8}{14}$$
3 step solution
Problem 31
Use the order of operations to simplify each expression. $$45 \div 5 \cdot 3$$
3 step solution
Problem 31
In Exercises \(1-34,\) perform the indicated multiplication. $$5(-3)(-1)(2)(3)$$
4 step solution
Problem 31
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{3}(12+6 r)$$
2 step solution
Problem 31
Find each sum without the use of a number line. $$\frac{9}{10}+\left(-\frac{3}{5}\right)$$
3 step solution
Problem 31
Perform the indicated subtraction. $$-\frac{4}{5}-\frac{1}{5}$$
3 step solution
Problem 31
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. nine subtracted from a number
3 step solution
Problem 31
Express each rational number as a decimal. $$-\frac{5}{6}$$
4 step solution
Problem 31
Simplify each fraction by reducing it to its lowest terms. $$\frac{15}{18}$$
3 step solution
Problem 32
Use the order of operations to simplify each expression. $$40 \div 4 \cdot 2$$
2 step solution
Problem 32
In Exercises \(1-34,\) perform the indicated multiplication. $$2(-5)(-2)(3)(1)$$
3 step solution
Problem 32
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{4}(12+8 r)$$
3 step solution
Problem 32
Find each sum without the use of a number line. $$\frac{7}{10}+\left(-\frac{2}{5}\right)$$
3 step solution
Problem 32
Perform the indicated subtraction. $$-\frac{4}{9}-\frac{1}{9}$$
3 step solution
Problem 32
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three subtracted from a number
2 step solution
Problem 32
Express each rational number as a decimal. $$-\frac{7}{6}$$
3 step solution
Problem 32
Simplify each fraction by reducing it to its lowest terms. $$\frac{18}{45}$$
4 step solution
Problem 33
Use the order of operations to simplify each expression. $$6 \cdot 8 \div 4$$
2 step solution