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Algebra 2 7-5 Mixed Review: Exponential and Logarithmic Equations

Last updated almost 3 years ago
9 questions
10

Reasoning: Is it possible for an exponential equation to have no solutions? If so, give an example. If not, explain why.

10

Review Lesson 7-4: Expand the logarithm.
Enter only an expression.

8

Review Lesson 6-6: Let f(x) = 3x and g(x) = x2 - 1. Perform each function operation on the right and identify its equivalent expression in simplest form from the left.

  • x^{2} - 3x - 1
  • x^{4}-2x^{2}
  • x^{2} + 3x - 1
  • 3x^{2} - 3
  • (g-f)(x)
  • (f\circ g)(x)
  • (g\circ g)(x)
10

Review Lesson 5-6: Find all the zeros of each function on the right. Match the zeros on the left with the function(s) to which they belong. Some zeros may not be needed.

  • -4
  • -3
  • -2
  • -1
  • 0
  • 1
  • 2
  • 3
10

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.
Enter only an expression.

10

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.
Enter only an expression.

12

Vocabulary Review: Identify the base and exponent from each expression. Not all items from the left column will be used. You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • 3
  • x
  • 2x
  • 7
  • (x + y)
  • 2
  • Base of 37
  • Exponent of 37
  • Base of 2x2
  • Exponent of 2x2
  • Base of (x + y)2
  • Exponent of (x + y)2
5

Vocabulary Review: Which expression is read "five to the third power"?

9

Use Your Vocabulary: Match each equation on the left with the operation(s) needed to isolate the variable on the right.

  • 4z+9=81
  • \frac{1}{3}(p-5)=2
  • 3b=15
  • Multiply both sides by 3. Then add 5 to both sides.
  • Divide both sides by 3.
  • Subtract 9 from each side, then divide both sides by 4.