Chapter 1
Elementary Algebra · 233 exercises
Problem 16
For the following problems, expand each product (do not compute the actual value). \(2^{7} \cdot 3^{4}\)
3 step solution
Problem 16
For the following problems, use the order of operations to find each value. $$6(4-1)+8(3+7)-20$$
3 step solution
Problem 17
For the following problems, convert each decimal to a percent. $$ 4.25 $$
2 step solution
Problem 17
For the following problems, perform each indicated operation. \(\frac{57}{8} \div \frac{7}{8}\)
4 step solution
Problem 17
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{11}{22}\)
2 step solution
Problem 17
For the following problems, find the least common multiple of given numbers. 8, 10, 15
3 step solution
Problem 17
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 38
4 step solution
Problem 17
For the following problems, expand each product (do not compute the actual value). \(x^{4} \cdot y^{4}\)
5 step solution
Problem 17
For the following problems, use the order of operations to find each value. $$\text { (8) }(5)+2(14)+(1)(10)$$
5 step solution
Problem 18
For the following problems, convert each decimal to a percent. $$ 5.875 $$
4 step solution
Problem 18
For the following problems, perform each indicated operation. \(\frac{7}{10} \div \frac{10}{7}\)
6 step solution
Problem 18
For the following problems, find the least common multiple of given numbers. 4, 5, 21
3 step solution
Problem 18
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 54
5 step solution
Problem 18
For the following problems, expand each product (do not compute the actual value). \(x^{6} \cdot y^{2}\)
4 step solution
Problem 18
For the following problems, use the order of operations to find each value. $$61-22+4[3(10)+11]$$
3 step solution
Problem 19
For the following problems, convert each decimal to a percent. $$ 86.98 $$
2 step solution
Problem 19
For the following problems, perform each indicated operation. \(\frac{3}{8}+\frac{2}{8}\)
3 step solution
Problem 19
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{27}{81}\)
4 step solution
Problem 19
For the following problems, find the least common multiple of given numbers. 45, 63, 98
4 step solution
Problem 19
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 62
4 step solution
Problem 19
For the following problems, specify all the whole number factors of each number. For example, the complete set of whole number factors of 6 is 1,2,3,6 . 20
5 step solution
Problem 19
For the following problems, use the order of operations to find each value. $$\frac{(1+16-3)}{7}+5(12)$$
4 step solution
Problem 20
For the following problems, convert each decimal to a percent. $$ 21.26 $$
4 step solution
Problem 20
For the following problems, perform each indicated operation. \(\frac{3}{11}+\frac{4}{11}\)
6 step solution
Problem 20
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{16}{42}\)
4 step solution
Problem 20
For the following problems, find the least common multiple of given numbers. 15, 25, 40
3 step solution
Problem 20
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 56
6 step solution
Problem 20
For the following problems, specify all the whole number factors of each number. For example, the complete set of whole number factors of 6 is 1,2,3,6 . 14
3 step solution
Problem 20
For the following problems, use the order of operations to find each value. $$\frac{8(6+20)}{8}+\frac{3(6+16)}{22}$$
4 step solution
Problem 21
For the following problems, convert each decimal fraction to a fraction. 0.06
4 step solution
Problem 21
For the following problems, perform each indicated operation. \(\frac{5}{12}+\frac{7}{12}\)
4 step solution
Problem 21
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{39}{13}\)
3 step solution
Problem 21
For the following problems, find the least common multiple of given numbers. 12, 16, 20
3 step solution
Problem 21
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 176
5 step solution
Problem 21
For the following problems, specify all the whole number factors of each number. For example, the complete set of whole number factors of 6 is 1,2,3,6 . 12
4 step solution
Problem 21
For the following problems, use the order of operations to find each value. $$18 \div 2+55$$
4 step solution
Problem 22
For the following problems, convert each decimal fraction to a fraction. 0.115
3 step solution
Problem 22
For the following problems, perform each indicated operation. \(\frac{11}{16}-\frac{2}{16}\)
3 step solution
Problem 22
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{44}{11}\)
3 step solution
Problem 22
For the following problems, find the least common multiple of given numbers. 12, 16, 24
3 step solution
Problem 22
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 480
2 step solution
Problem 22
For the following problems, specify all the whole number factors of each number. For example, the complete set of whole number factors of 6 is 1,2,3,6 . 30
14 step solution
Problem 22
For the following problems, use the order of operations to find each value. $$21 \div 7 \div 3$$
2 step solution
Problem 23
For the following problems, convert each percent to a decimal. $$ 35 \% $$
3 step solution
Problem 23
For the following problems, perform each indicated operation. \(\frac{15}{23}-\frac{2}{23}\)
3 step solution
Problem 23
For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{121}{132}\)
2 step solution
Problem 23
For the following problems, find the least common multiple of given numbers. 12, 16, 24, 36
3 step solution
Problem 23
For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 819
3 step solution
Problem 23
For the following problems, specify all the whole number factors of each number. For example, the complete set of whole number factors of 6 is 1,2,3,6 . 21
6 step solution
Problem 23
For the following problems, use the order of operations to find each value. $$85 \div 5 \cdot 5-85$$
3 step solution