Problem 26
Express each rational number as a decimal. $$\frac{5}{16}$$
Problem 31
Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. nine subtracted from a number
Problem 37
In Exercises \(29-72,\) use the order of operations to simplify each expression. $$8^{2}-16 \div 2^{2} \cdot 4-3$$
Problem 43
A. Rewrite the division as multiplication involving a multiplicative inverse. B. Use the multiplication from part (a) to find the given quotient. $$-32 \div 4$$
Problem 46
A. Rewrite the division as multiplication involving a multiplicative inverse. B. Use the multiplication from part (a) to find the given quotient. $$\frac{-30}{-5}$$
Problem 55
Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{18}{5} \div 2$$
Problem 57
Determine whether the given number is a solution of the equation. $$2(w+1)=3(w-1) ; 7$$
Problem 57
Perform the indicated division or state that the expression is undefined. $$-15 \div 3$$
Problem 65
Name the property used to go from step to step each time that 鈥(why?)鈥 occurs. $$\begin{aligned} 7 &+2(x+9) \\ &=7+(2 x+18) \quad \text { (why?) } \\ &=7+(18+2 x) \quad \text { (why?) } \\ &=(7+18)+2 x \quad \text { (why?) } \\ &=25+2 x \\ &=2 x+25 \quad \text { (why?) } \end{aligned}$$
Problem 65
Write each sentence as an equation. Let the variable \(x\) represent the number. The sum of twice a number and 6 is 16