Exponent and Logarithm Concepts

Miss Clinger reviews key algebra concepts for the spring final exam, covering exponential and logarithmic equations, investment growth functions, and trigonometric functions. The video includes problem-solving strategies, graphing techniques, and practical tips for test-taking. Students are encouraged to use calculators and graphing tools to verify solutions.

What is the first step to solve an equation with a fraction exponent?

• Multiply both sides by the fraction

• Convert the fraction to a negative exponent

• Divide both sides by the fraction

• Add the fraction to both sides

When the bases of exponents are the same, what can you do with the exponents?

• Add them together

• Subtract them

• Set them equal to each other

• Multiply them

How do you isolate the logarithmic part of an equation?

• Add a constant to both sides

• Multiply both sides by the base

• Divide both sides by the coefficient

• Subtract a constant from both sides

What is the formula for calculating the future value of an investment?

• P(1 + r)^t

• P(1 - r)^t

• P(1 - rt)

• P(1 + rt)

What is the correct way to convert degrees to radians?

• Add 180

• Multiply by 180/π

• Subtract 180

• Multiply by π/180

What does the amplitude of a trigonometric function represent?

• The vertical shift

• The horizontal shift

• The maximum height from the midline

• The period of the function

What should you do if you encounter a problem you can't visualize?

• Skip the problem

• Ask for help

• Draw a picture to help understand it

• Guess the answer