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

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