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Problem 45

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

Problem 46

Replace each question mark to make the given statement an application of the indicated property of equality. For example, \(16=\) ? becomes \(16=16\) because of the reflexive property of equality. If \(y=x\) and \(x=z+2\), then \(y=?\) (Transitive property of equality)

Problem 46

Perform the following operations with real numbers. $$ -\frac{5}{6}+\frac{3}{8} $$

Problem 46

Evaluate the algebraic expressions for the given values of the variables. $$ -4 x+9 y-3 x-y, \quad x=-4 \text { and } y=7 $$

Problem 46

Simplify each of the numerical expressions. $$ \left[-3(-1)^{3}-4(-2)^{2}\right]^{2} $$

Problem 47

Perform the following operations with real numbers. $$ -\frac{3}{2}-\left(-\frac{3}{4}\right) $$

Problem 47

Replace each question mark to make the given statement an application of the indicated property of equality. For example, \(16=\) ? becomes \(16=16\) because of the reflexive property of equality. If \(4=3 x+1\), then \(?=4\) (Symmetric property of equality)

Problem 47

Evaluate the algebraic expressions for the given values of the variables. $$ (x-y)^{2}, \quad x=5 \text { and } y=-3 $$

Problem 47

Simplify each of the numerical expressions. $$ 2(-1)^{3}-3(-1)^{2}+4(-1)-5 $$

Problem 48

Replace each question mark to make the given statement an application of the indicated property of equality. For example, \(16=\) ? becomes \(16=16\) because of the reflexive property of equality. If \(t=4\) and \(s+t=9\), then \(s+?=9\) (Substitution property of equality)

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