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Problem 58

An online bookstore adds a \(\$ 2.50\) shipping and handling charge to the total price of every order. If the cost of books in an order is \(c,\) write an expression for the total cost. (lesson \(1-3\) )

Problem 58

Numbers can also be expressed in expanded form. Example \(1: 13,548=10,000+3000+500+40+8\) \(=\left(1 \times 10^{4}\right)+\left(3 \times 10^{3}\right)+\left(5 \times 10^{2}\right)+\left(4 \times 10^{1}\right)+\left(8 \times 10^{0}\right)\) Example \(2: 0.568=0.5+0.06+0.008\) $$ =\left(5 \times 10^{-1}\right)+\left(6 \times 10^{-2}\right)+\left(8 \times 10^{-3}\right) $$ Write each number in expanded form. $$29,607$$

Problem 58

For each expression, use parentheses to group the numbers together and to group the powers with like bases together EXAMPLE \(: a \cdot 4 \cdot a^{3} \cdot 2=(4 \cdot 2)\left(a \cdot a^{3}\right)\) \(b \cdot 5 \cdot 10 \cdot b^{4}\)

Problem 60

Find the greatest common factor of each set of numbers or monomials. $$18,28$$

Problem 62

OPEN ENDED Use exponents to write a numerical expression and an algebraic expression in which the base is a factor 5 times.

Problem 63

Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. outside temperature and amount of heating bill

Problem 67

Use the Distributive Property to write each expression as an equivalent expression. $$-3(t+4)$$

Problem 69

Use the Distributive Property to write each expression as an equivalent expression. $$(b-3)(-2)$$

Problem 70

Find each quotient. $$-69 \div 23$$

Problem 73

Solve each equation. Check your solution. $$16=5 k-4$$

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