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Problem 21

Perform the following operations with real numbers. $$ -2 \frac{3}{8}+5 \frac{7}{8} $$

Problem 21

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ -6\left(x^{2}-5\right)-\left(x^{2}-2\right) $$

Problem 22

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ 3(x+y)-2(x-y) $$

Problem 22

Perform the following operations with real numbers. $$ -1 \frac{1}{5}+3 \frac{4}{5} $$

Problem 22

Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(N\) ______ \(I\)

Problem 22

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$ -86[49+(-48)] $$

Problem 23

Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(Q\) ____ \(H\)

Problem 23

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$ 14-12-21-14+17-18+19-32 $$

Problem 23

Perform the following operations with real numbers. $$ 4 \frac{1}{3}-\left(-1 \frac{1}{6}\right) $$

Problem 23

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ 5(2 x+1)+4(3 x-2) $$

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