91Ó°ÊÓ

$$ \text { In Exercises 33-46, simplify the expression. } $$ $$ \left(7 r^{2} s^{3}\right)(3 r s) $$

In Exercises \(47-66\), simplify the expression by removing symbols of grouping and combining like terms. $$ 2(x-2)+4 $$

In Exercises \(45-54\), evaluate the algebraic expression for the given values of the variables. If it is not possible, state the reason. \(|2 x-3 y|\) (a) \(x=2, y=3\) (b) \(x=-1, y=4\)

In Exercises 45-50, an expression for the balance in an account is given. Use a guess, check, and revise strategy to determine the time (in years) necessary for the investment of \(\$ 1000\) to double. Interest rate: \(6 \%\) $$ 1000(1+0.06)^{t} $$

When dividing each side of an equation by the same quantity, why must the quantity be nonzero?

In Exercises 45-50, an expression for the balance in an account is given. Use a guess, check, and revise strategy to determine the time (in years) necessary for the investment of \(\$ 1000\) to double. Interest rate: \(8 \%\) $$ 1000(1+0.08)^{t} $$

In Exercises \(47-66\), simplify the expression by removing symbols of grouping and combining like terms. $$ 3(x-5)-2 $$

In Exercises \(45-54\), evaluate the algebraic expression for the given values of the variables. If it is not possible, state the reason. \(y-|-3 x+y|\) (a) \(x=-2, y=-1\) (b) \(x=7, y=3\)

Describe how to solve \(x-25=250\).

In Exercises \(47-66\), simplify the expression by removing symbols of grouping and combining like terms. $$ 6(2 s-1)+s+4 $$