91Ó°ÊÓ

Describe what it means to raise a number to a power. In your description, include a discussion of the difference between \(-5^{2}\) and \((-5)^{2}\)

In Exercises \(121-128,\) write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. A number decreased by the sum of the number and four

Will help you prepare for the material covered in the next section. If 6 is substituted for \(x\) in the equation $$ 2(x-3)-17=13-3(x+2) $$ is the resulting statement true or false?

Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\).

Solve each radical equation. Check all proposed solutions. $$x-\sqrt{x+11}=1$$

Explain how to add \(\sqrt{3}+\sqrt{12}\).

Explain the product rule for exponents. Use \(2^{3} \cdot 2^{5}\) in your explanation.

Will help you prepare for the material covered in the next section. Multiply and simplify: \(12\left(\frac{x+2}{4}-\frac{x-1}{3}\right)\)

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. Parts for an automobile repair cost \(\$ 175 .\) The mechanic charges \(\$ 34\) per hour. If you receive an estimate for at least \(\$ 226\) and at most \(\$ 294\) for fixing the car, what is the time interval that the mechanic will be working on the job?

In Exercises \(121-128,\) write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. A number decreased by the difference between eight and the number