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Problem 48

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

Problem 48

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(2(a+b)^{2}, \quad a=6\) and \(b=-1\)

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)

Problem 49

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. \(5 x=\) ? (Reflexive property of equality)

Problem 49

Perform the following operations with real numbers. $$\frac{3}{4} \div\left(-\frac{1}{2}\right)$$

Problem 49

Simplify each of the numerical expressions. $$2^{4}-2(2)^{3}-3(2)^{2}+7(2)-10$$

Problem 49

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(-2 a-3 a+7 b-b, \quad a=-10\) and \(b=9\)

Problem 50

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 \(5=n+3\), then \(n+3=\) ? (Symmetric property of equality)

Problem 50

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. \(3(x-2)-4(x+3), \quad x=-2\)

Problem 50

Simplify each of the numerical expressions. $$3(-3)^{3}+4(-3)^{2}-5(-3)+7$$

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