91Ó°ÊÓ

In the following exercises, translate the given sentence into an algebraic equation and then solve it. 12 less than u is 89.

In the following exercises, translate the given sentence into an algebraic equation and then solve it. 19 less than w is 56.

In the following exercises, translate the given sentence into an algebraic equation and then solve it. 325 less than c gives 799.

In the following exercises, translate the given sentence into an algebraic equation and then solve it. 299 less than d gives 850.

Insurance Vince's car insurance has a \(\$ 500\) deductible. Find the amount the insurance company will pay, \(p,\) for an \(\$ 1800\) claim by solving the equation \(500+p=1800\)

Insurance Marta's homeowner's insurance policy has a \(\$ 750\) deductible. The insurance company paid \(\$ 5800\) to repair damages caused by a storm. Find the total cost of the storm damage, \(d, \quad\) by solving the equation \(d-750=5800\) .

Sale purchase Arthur bought a suit that was on sale for \(\$ 120\) off. He paid \(\$ 340\) for the suit. Find the original price, \(p,\) of the suit by solving the equation \(p-120=340\)

Sale purchase Rita bought a sofa that was on sale for \(\$ 1299 .\) She paid a total of \(\$ 1409,\) including sales tax. Find the amount of the sales tax, \(t,\) by solving the equation \(1299+t=1409\)

Is \(x=1\) a solution to the equation \(8 x-2=16-6 x ?\) How do you know?

Write the equation \(y-5=21\) in words. Then make up a word problem for this equation.