Chapter 1
Elementary Algebra · 233 exercises
Problem 8
For the following problems, determine which whole numbers are prime and which are composite. 9
2 step solution
Problem 8
For the following problems, express each product using exponents. $$ 3 \cdot 3 \cdot 10 \cdot 10 \cdot 10 $$
3 step solution
Problem 8
Use the order of operations to find each value. $$4+3[2+3(1+8 \div 4)]$$
4 step solution
Problem 9
For the following problems, convert each fraction to a percent. $$ \frac{27}{55} $$
3 step solution
Problem 9
For the following problems, perform each indicated operation. \(\frac{3}{7} \cdot \frac{14}{18} \cdot \frac{6}{2}\)
3 step solution
Problem 9
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{10}{12}\)
3 step solution
Problem 9
For the following problems, find the least common multiple of given numbers. 28,42
3 step solution
Problem 9
For the following problems, determine which whole numbers are prime and which are composite. 11
4 step solution
Problem 9
Suppose that the letters \(x\) and \(y\) are each used to represent numbers. Use exponents to express the following product. \(x \cdot x \cdot x \cdot y \cdot y\)
3 step solution
Problem 9
Use the order of operations to find each value. $$\frac{19+2\\{5+2[18+6(4+1)]\\}}{5 \cdot 6-3(5)-2}$$
6 step solution
Problem 10
For the following problems, convert each fraction to a percent. $$ \frac{7}{27} $$
2 step solution
Problem 10
For the following problems, perform each indicated operation. \(\frac{14}{15} \cdot \frac{21}{28} \cdot \frac{45}{7}\)
3 step solution
Problem 10
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{32}{28}\)
3 step solution
Problem 10
For the following problems, find the least common multiple of given numbers. 20,24
3 step solution
Problem 10
Suppose that the letters \(x\) and \(y\) are each used to represent numbers. Use exponents to express the following product. \(x \cdot x \cdot x \cdot x \cdot x \cdot y \cdot y \cdot y\)
2 step solution
Problem 10
For the following problems, use the order of operations to find each value. $$2+3(6)$$
4 step solution
Problem 11
For the following problems, perform each indicated operation. \(\frac{5}{9} \div \frac{5}{6}\)
4 step solution
Problem 11
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{36}{10}\)
3 step solution
Problem 11
For the following problems, find the least common multiple of given numbers. 25,30
2 step solution
Problem 11
For the following problems, expand each product (do not compute the actual value). \(3^{4}\)
2 step solution
Problem 11
For the following problems, use the order of operations to find each value. $$18-7(8-3)$$
3 step solution
Problem 12
For the following problems, perform each indicated operation. \(\frac{9}{16} \div \frac{15}{8}\)
4 step solution
Problem 12
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{26}{60}\)
4 step solution
Problem 12
For the following problems, find the least common multiple of given numbers. 24,54
3 step solution
Problem 12
For the following problems, expand each product (do not compute the actual value). \(4^{3}\)
3 step solution
Problem 12
For the following problems, use the order of operations to find each value. $$8 \cdot 4 \div 16+5$$
3 step solution
Problem 13
For the following problems, convert each decimal to a percent. $$ 0.36 $$
2 step solution
Problem 13
For the following problems, perform each indicated operation. \(\frac{4}{9} \div \frac{6}{15}\)
5 step solution
Problem 13
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{12}{18}\)
4 step solution
Problem 13
For the following problems, find the least common multiple of given numbers. 16,24
3 step solution
Problem 13
For the following problems, expand each product (do not compute the actual value). \(2^{5}\)
2 step solution
Problem 13
For the following problems, use the order of operations to find each value. $$(21+4) \div 5 \cdot 2$$
4 step solution
Problem 14
For the following problems, convert each decimal to a percent. $$ 0.42 $$
3 step solution
Problem 14
For the following problems, perform each indicated operation. \(\frac{25}{49} \div \frac{4}{9}\)
4 step solution
Problem 14
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{18}{27}\)
4 step solution
Problem 14
For the following problems, find the least common multiple of given numbers. 36,48
3 step solution
Problem 14
For the following problems, expand each product (do not compute the actual value). \(9^{6}\)
3 step solution
Problem 14
For the following problems, use the order of operations to find each value. $$3(8+2) \div 6+3$$
4 step solution
Problem 15
For the following problems, convert each decimal to a percent. $$ 0.446 $$
2 step solution
Problem 15
For the following problems, perform each indicated operation. \(\frac{15}{4} \div \frac{27}{8}\)
3 step solution
Problem 15
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{18}{24}\)
4 step solution
Problem 15
For the following problems, find the least common multiple of given numbers. 15,21
5 step solution
Problem 15
For the following problems, determine which whole numbers are prime and which are composite. 209
4 step solution
Problem 15
For the following problems, expand each product (do not compute the actual value). \(5^{3} \cdot 6^{2}\)
4 step solution
Problem 15
For the following problems, use the order of operations to find each value. $$6(4+1) \div(16 \div 8)-15$$
3 step solution
Problem 16
For the following problems, convert each decimal to a percent. $$ 0.1298 $$
2 step solution
Problem 16
For the following problems, perform each indicated operation. \(\frac{24}{75} \div \frac{8}{15}\)
4 step solution
Problem 16
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{32}{40}\)
2 step solution
Problem 16
For the following problems, find the least common multiple of given numbers. 7, 11, 33
3 step solution
Problem 16
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 26
4 step solution