Lesson 5: Practice Problems

Problem 1

Write with a single exponent: (ex: )

Problem 2

Write each expression as a single power of 10.

Problem 3

Select all of the following that are equivalent to :

Problem 4

Match each equation to the situation it describes. Explain what the constant of proportionality means in each equation.


  1. A dump truck is hauling loads of dirt to a construction site. After 20 loads, there are 70 square feet of dirt.

  2. I am making a water and salt mixture that has 2 cups of salt for every 6 cups of water.

  3. A store has a “4 for $10” sale on hats.

  4. For every 48 cookies I bake, my students get 24.

Problem 5 From Unit 2 Lesson 13

Two triangles ABC and CDE that share a vertex at C. ABC has legs 10 and ?, and hypotenuse 26. Triangle CDE has legs 36, ?, and hypotenuse 39.
  1. Explain why triangle is similar to .

  2. Find the missing side lengths.